munsellspace 1.2.3

//! Centore polyhedron data for semantic color overlays.
//!
//! This module contains the exact convex hull vertex and face data for all 30 color names
//! from Paul Centore's 2020 paper "Beige, aqua, fuchsia, etc.: Definitions for some
//! non-basic surface colour names" (Journal of the International Colour Association, 25, 24-54).
//!
//! The data was extracted from PolyhedronFiles.zip, which contains the original convex hull
//! polyhedra derived from ~16,000 CAUS (Color Association of the United States) fabric samples.
//!
//! # Coordinate System
//!
//! Vertices are in Munsell Cartesian coordinates:
//! - x = chroma * cos(theta), where theta = hue_number * 9 degrees
//! - y = chroma * sin(theta)
//! - z = value (0-10)
//!
//! Faces are triangular, defined by vertex indices (0-based).


// ============================================================================
// 20 Non-Basic Color Names (Centore's main contribution)
// ============================================================================

/// Polyhedron vertices for "aqua" - 119 CAUS samples, 28 vertices.
pub const POLYHEDRON_AQUA_VERTICES: [(f64, f64, f64); 28] = [
        (-1.52, 1.06, 7.06),
        (-1.40, 0.80, 5.96),
        (-1.10, 0.61, 7.27),
        (-0.86, 0.32, 6.50),
        (-1.61, 0.24, 8.27),
        (-1.48, 0.20, 4.97),
        (-5.16, -0.38, 7.85),
        (-6.41, -0.65, 6.64),
        (-6.13, -1.37, 6.62),
        (-1.83, -0.52, 8.43),
        (-2.53, -0.73, 4.41),
        (-3.66, -1.07, 4.87),
        (-1.05, -0.34, 7.63),
        (-5.52, -2.22, 7.40),
        (-2.96, -1.25, 8.14),
        (-3.93, -1.87, 7.84),
        (-2.97, -1.44, 4.35),
        (-4.59, -2.77, 7.11),
        (-2.91, -1.76, 7.94),
        (-4.83, -3.04, 4.83),
        (-2.20, -2.19, 7.50),
        (-0.72, -0.77, 5.63),
        (-3.32, -4.28, 4.01),
        (-0.74, -1.10, 5.00),
        (-1.65, -2.52, 4.40),
        (-2.79, -4.44, 4.79),
        (-1.11, -2.48, 6.64),
        (-1.40, -4.00, 4.81),
];

/// Polyhedron faces for "aqua" - 52 triangular faces.
pub const POLYHEDRON_AQUA_FACES: [(usize, usize, usize); 52] = [
        (0, 6, 7),
        (6, 13, 7),
        (26, 12, 21),
        (12, 26, 9),
        (1, 0, 7),
        (26, 20, 9),
        (12, 3, 21),
        (1, 3, 0),
        (4, 12, 9),
        (6, 4, 9),
        (4, 6, 0),
        (11, 10, 7),
        (19, 11, 7),
        (13, 8, 7),
        (8, 19, 7),
        (19, 8, 13),
        (23, 26, 21),
        (3, 23, 21),
        (20, 27, 25),
        (27, 20, 26),
        (23, 27, 26),
        (27, 23, 24),
        (22, 13, 25),
        (22, 19, 13),
        (27, 22, 25),
        (22, 27, 24),
        (22, 24, 10),
        (20, 18, 9),
        (13, 17, 25),
        (17, 20, 25),
        (17, 18, 20),
        (2, 3, 12),
        (4, 2, 12),
        (3, 2, 0),
        (2, 4, 0),
        (24, 5, 10),
        (23, 5, 24),
        (10, 5, 7),
        (5, 1, 7),
        (5, 3, 1),
        (5, 23, 3),
        (16, 22, 10),
        (22, 16, 19),
        (11, 16, 10),
        (16, 11, 19),
        (18, 14, 9),
        (14, 6, 9),
        (15, 17, 13),
        (17, 15, 18),
        (15, 14, 18),
        (6, 15, 13),
        (14, 15, 6),
];

/// Polyhedron vertices for "beige" - 277 CAUS samples, 32 vertices.
pub const POLYHEDRON_BEIGE_VERTICES: [(f64, f64, f64); 32] = [
        (3.36, 2.06, 5.22),
        (3.17, 2.99, 5.02),
        (2.03, 2.05, 7.21),
        (1.23, 1.25, 5.51),
        (1.38, 1.44, 4.72),
        (2.95, 3.24, 6.71),
        (1.34, 1.66, 4.07),
        (1.84, 2.31, 3.65),
        (3.54, 4.54, 5.64),
        (3.34, 4.50, 6.55),
        (2.27, 3.11, 7.89),
        (3.02, 4.91, 6.02),
        (2.09, 3.48, 4.42),
        (2.71, 4.78, 5.51),
        (1.00, 1.81, 3.86),
        (0.70, 1.28, 6.99),
        (1.09, 2.13, 3.79),
        (1.59, 3.50, 4.76),
        (2.09, 4.70, 5.80),
        (1.89, 4.91, 7.01),
        (0.52, 1.42, 7.86),
        (1.54, 4.27, 8.02),
        (0.55, 1.57, 7.95),
        (0.79, 2.95, 8.27),
        (1.00, 4.20, 6.14),
        (0.33, 1.44, 6.08),
        (0.25, 1.30, 7.61),
        (0.36, 3.23, 7.92),
        (0.33, 3.29, 5.71),
        (0.12, 1.92, 6.47),
        (0.07, 2.34, 6.67),
        (0.02, 1.62, 7.46),
];

/// Polyhedron faces for "beige" - 60 triangular faces.
pub const POLYHEDRON_BEIGE_FACES: [(usize, usize, usize); 60] = [
        (11, 13, 8),
        (28, 17, 24),
        (26, 15, 3),
        (15, 26, 20),
        (15, 0, 3),
        (0, 20, 2),
        (0, 15, 20),
        (6, 0, 7),
        (16, 17, 28),
        (12, 7, 8),
        (13, 12, 8),
        (12, 16, 7),
        (16, 12, 17),
        (17, 18, 24),
        (18, 12, 13),
        (12, 18, 17),
        (27, 28, 24),
        (20, 10, 2),
        (10, 0, 2),
        (0, 4, 3),
        (4, 0, 6),
        (7, 1, 8),
        (1, 0, 8),
        (0, 1, 7),
        (14, 6, 7),
        (16, 14, 7),
        (4, 14, 3),
        (14, 4, 6),
        (14, 16, 28),
        (11, 19, 13),
        (19, 18, 13),
        (18, 19, 24),
        (19, 27, 24),
        (27, 19, 21),
        (23, 27, 21),
        (10, 23, 21),
        (30, 27, 31),
        (27, 30, 28),
        (0, 9, 8),
        (9, 11, 8),
        (9, 10, 21),
        (9, 19, 11),
        (19, 9, 21),
        (14, 25, 3),
        (25, 26, 3),
        (26, 25, 31),
        (22, 10, 20),
        (22, 23, 10),
        (22, 26, 31),
        (26, 22, 20),
        (27, 22, 31),
        (23, 22, 27),
        (29, 14, 28),
        (30, 29, 28),
        (29, 25, 14),
        (29, 30, 31),
        (25, 29, 31),
        (10, 5, 0),
        (5, 9, 0),
        (9, 5, 10),
];

/// Polyhedron vertices for "coral" - 215 CAUS samples, 34 vertices.
pub const POLYHEDRON_CORAL_VERTICES: [(f64, f64, f64); 34] = [
        (13.03, 0.64, 6.05),
        (11.27, 0.82, 6.72),
        (6.29, 0.94, 7.62),
        (7.01, 1.25, 3.99),
        (6.31, 1.19, 4.07),
        (12.48, 2.41, 4.81),
        (13.53, 3.17, 5.40),
        (13.39, 3.47, 5.16),
        (9.74, 2.62, 3.87),
        (3.90, 1.06, 7.08),
        (11.42, 3.29, 6.69),
        (12.89, 4.12, 4.72),
        (12.02, 4.69, 4.49),
        (7.67, 3.27, 3.83),
        (7.17, 3.23, 7.56),
        (4.80, 2.27, 8.02),
        (10.25, 4.98, 4.38),
        (8.66, 4.71, 3.95),
        (8.64, 5.13, 7.18),
        (11.17, 6.67, 5.63),
        (9.18, 5.73, 4.76),
        (10.46, 6.55, 6.39),
        (8.15, 5.21, 4.46),
        (9.04, 6.62, 5.70),
        (6.36, 6.05, 7.05),
        (2.44, 2.58, 7.80),
        (3.97, 4.49, 8.00),
        (2.72, 3.16, 4.04),
        (3.31, 3.93, 8.16),
        (3.60, 4.61, 7.12),
        (2.19, 2.90, 8.11),
        (3.49, 4.71, 5.77),
        (2.40, 3.28, 8.13),
        (2.89, 4.23, 6.82),
];

/// Polyhedron faces for "coral" - 64 triangular faces.
pub const POLYHEDRON_CORAL_FACES: [(usize, usize, usize); 64] = [
        (21, 19, 6),
        (17, 27, 13),
        (27, 9, 4),
        (12, 11, 19),
        (2, 9, 30),
        (10, 21, 6),
        (21, 10, 18),
        (23, 24, 31),
        (27, 23, 31),
        (21, 23, 19),
        (24, 23, 21),
        (16, 12, 19),
        (17, 16, 19),
        (16, 17, 12),
        (9, 25, 30),
        (25, 27, 30),
        (27, 25, 9),
        (27, 3, 13),
        (3, 27, 4),
        (8, 11, 12),
        (8, 17, 13),
        (17, 8, 12),
        (3, 8, 13),
        (32, 28, 30),
        (28, 15, 30),
        (15, 2, 30),
        (2, 15, 1),
        (0, 10, 6),
        (10, 0, 1),
        (0, 3, 4),
        (0, 8, 3),
        (9, 0, 4),
        (2, 0, 9),
        (0, 2, 1),
        (24, 29, 31),
        (28, 26, 18),
        (26, 21, 18),
        (26, 24, 21),
        (29, 26, 28),
        (26, 29, 24),
        (20, 17, 19),
        (23, 20, 19),
        (14, 10, 1),
        (15, 14, 1),
        (10, 14, 18),
        (14, 28, 18),
        (14, 15, 28),
        (19, 7, 6),
        (11, 7, 19),
        (32, 33, 28),
        (33, 29, 28),
        (29, 33, 31),
        (33, 27, 31),
        (33, 32, 30),
        (27, 33, 30),
        (22, 23, 27),
        (22, 20, 23),
        (22, 27, 17),
        (20, 22, 17),
        (0, 5, 8),
        (8, 5, 11),
        (5, 7, 11),
        (5, 0, 6),
        (7, 5, 6),
];

/// Polyhedron vertices for "fuchsia" - 46 CAUS samples, 18 vertices.
pub const POLYHEDRON_FUCHSIA_VERTICES: [(f64, f64, f64); 18] = [
        (8.96, -6.58, 3.96),
        (10.18, -7.03, 4.10),
        (9.96, -5.45, 3.43),
        (9.73, -4.33, 3.22),
        (10.43, -4.58, 5.17),
        (6.92, -2.81, 3.64),
        (5.26, -2.01, 4.72),
        (11.91, -4.40, 5.02),
        (10.90, -3.90, 3.44),
        (12.04, -3.93, 3.69),
        (8.84, -2.40, 3.20),
        (13.14, -2.91, 4.44),
        (8.61, -1.88, 3.35),
        (10.10, -1.61, 3.15),
        (9.74, -1.16, 3.43),
        (13.46, -1.19, 4.07),
        (11.82, -0.45, 3.47),
        (12.50, -0.40, 3.76),
];

/// Polyhedron faces for "fuchsia" - 32 triangular faces.
pub const POLYHEDRON_FUCHSIA_FACES: [(usize, usize, usize); 32] = [
        (15, 4, 6),
        (16, 9, 15),
        (9, 16, 13),
        (7, 4, 15),
        (4, 7, 1),
        (17, 15, 6),
        (16, 17, 6),
        (17, 16, 15),
        (14, 16, 6),
        (16, 14, 13),
        (11, 9, 1),
        (7, 11, 1),
        (9, 11, 15),
        (11, 7, 15),
        (14, 12, 13),
        (5, 12, 6),
        (12, 14, 6),
        (0, 3, 5),
        (0, 5, 6),
        (4, 0, 6),
        (0, 4, 1),
        (9, 2, 1),
        (3, 2, 9),
        (2, 0, 1),
        (0, 2, 3),
        (8, 9, 13),
        (3, 8, 13),
        (8, 3, 9),
        (3, 10, 5),
        (10, 12, 5),
        (10, 3, 13),
        (12, 10, 13),
];

/// Polyhedron vertices for "gold" - 362 CAUS samples, 47 vertices.
pub const POLYHEDRON_GOLD_VERTICES: [(f64, f64, f64); 47] = [
        (4.43, 4.97, 4.94),
        (3.67, 4.49, 3.88),
        (4.71, 5.87, 4.68),
        (6.17, 7.77, 6.24),
        (3.22, 4.43, 3.76),
        (5.88, 8.14, 6.92),
        (6.62, 9.17, 6.19),
        (4.80, 6.83, 4.62),
        (5.92, 8.79, 5.66),
        (3.34, 5.16, 3.77),
        (5.72, 9.18, 7.48),
        (5.60, 10.74, 6.49),
        (3.34, 7.21, 4.35),
        (4.09, 8.95, 4.98),
        (0.90, 2.11, 3.51),
        (1.79, 4.38, 3.74),
        (4.37, 10.89, 6.10),
        (1.05, 2.67, 6.22),
        (4.32, 11.45, 7.58),
        (4.04, 11.59, 7.02),
        (3.58, 10.52, 5.91),
        (3.34, 10.21, 7.95),
        (0.82, 2.81, 8.00),
        (0.87, 3.41, 8.22),
        (1.20, 5.46, 8.40),
        (1.36, 6.53, 8.43),
        (1.97, 9.91, 8.27),
        (0.86, 5.39, 4.28),
        (1.16, 7.85, 8.49),
        (0.92, 6.80, 8.50),
        (1.36, 11.12, 7.93),
        (1.28, 10.44, 8.34),
        (1.10, 9.15, 8.51),
        (0.90, 10.93, 7.94),
        (0.25, 3.25, 7.43),
        (0.38, 5.94, 4.88),
        (0.31, 9.90, 6.73),
        (0.09, 3.55, 6.40),
        (0.13, 9.31, 8.53),
        (-0.03, 8.07, 6.07),
        (-0.05, 9.94, 7.47),
        (-0.05, 4.18, 7.00),
        (-0.21, 9.14, 7.10),
        (-0.23, 5.42, 7.49),
        (-0.34, 6.91, 6.14),
        (-0.64, 8.73, 8.28),
        (-0.47, 5.83, 6.61),
];

/// Polyhedron faces for "gold" - 90 triangular faces.
pub const POLYHEDRON_GOLD_FACES: [(usize, usize, usize); 90] = [
        (10, 11, 6),
        (9, 15, 14),
        (34, 22, 14),
        (37, 34, 14),
        (22, 34, 45),
        (34, 43, 45),
        (3, 0, 22),
        (22, 17, 14),
        (17, 0, 14),
        (0, 17, 22),
        (2, 3, 6),
        (3, 2, 0),
        (0, 1, 14),
        (2, 1, 0),
        (44, 42, 45),
        (42, 39, 36),
        (39, 42, 44),
        (46, 37, 14),
        (44, 46, 14),
        (46, 44, 45),
        (43, 46, 45),
        (42, 40, 45),
        (40, 42, 36),
        (36, 20, 19),
        (39, 27, 36),
        (27, 20, 36),
        (15, 27, 14),
        (7, 13, 9),
        (1, 7, 9),
        (7, 2, 6),
        (7, 1, 2),
        (11, 8, 6),
        (13, 8, 11),
        (8, 7, 6),
        (7, 8, 13),
        (10, 5, 22),
        (5, 3, 22),
        (5, 10, 6),
        (3, 5, 6),
        (4, 9, 14),
        (1, 4, 14),
        (4, 1, 9),
        (34, 41, 43),
        (41, 46, 43),
        (41, 34, 37),
        (46, 41, 37),
        (30, 36, 19),
        (16, 11, 19),
        (20, 16, 19),
        (16, 13, 11),
        (16, 20, 13),
        (12, 27, 15),
        (12, 15, 9),
        (13, 12, 9),
        (20, 12, 13),
        (27, 12, 20),
        (35, 39, 44),
        (35, 27, 39),
        (35, 44, 14),
        (27, 35, 14),
        (25, 28, 10),
        (24, 25, 10),
        (23, 22, 45),
        (38, 23, 45),
        (23, 10, 22),
        (23, 24, 10),
        (33, 40, 36),
        (30, 33, 36),
        (40, 33, 45),
        (33, 38, 45),
        (33, 30, 31),
        (38, 33, 31),
        (21, 26, 31),
        (32, 38, 31),
        (26, 32, 31),
        (28, 32, 10),
        (32, 21, 10),
        (21, 32, 26),
        (23, 29, 24),
        (29, 23, 38),
        (25, 29, 28),
        (29, 25, 24),
        (29, 32, 28),
        (32, 29, 38),
        (30, 18, 31),
        (18, 21, 31),
        (18, 30, 19),
        (21, 18, 10),
        (11, 18, 19),
        (18, 11, 10),
];

/// Polyhedron vertices for "lavender" - 47 CAUS samples, 15 vertices.
pub const POLYHEDRON_LAVENDER_VERTICES: [(f64, f64, f64); 15] = [
        (0.69, -6.05, 6.06),
        (1.11, -4.63, 6.08),
        (0.94, -2.69, 4.72),
        (1.43, -3.66, 3.69),
        (3.16, -6.15, 5.18),
        (1.12, -2.17, 3.58),
        (5.36, -5.66, 4.15),
        (4.37, -3.94, 7.10),
        (2.20, -1.57, 5.41),
        (5.38, -3.45, 6.79),
        (5.23, -3.31, 6.29),
        (2.47, -1.46, 6.17),
        (3.99, -2.10, 5.29),
        (2.65, -1.17, 5.17),
        (3.52, -1.51, 6.85),
];

/// Polyhedron faces for "lavender" - 26 triangular faces.
pub const POLYHEDRON_LAVENDER_FACES: [(usize, usize, usize); 26] = [
        (4, 3, 0),
        (3, 5, 0),
        (3, 6, 5),
        (6, 3, 4),
        (14, 7, 0),
        (7, 14, 9),
        (7, 4, 0),
        (6, 7, 9),
        (7, 6, 4),
        (12, 14, 13),
        (5, 12, 13),
        (6, 12, 5),
        (1, 14, 0),
        (14, 11, 13),
        (1, 11, 14),
        (10, 6, 9),
        (10, 12, 6),
        (14, 10, 9),
        (12, 10, 14),
        (8, 5, 13),
        (11, 8, 13),
        (8, 11, 5),
        (11, 2, 5),
        (2, 11, 1),
        (5, 2, 0),
        (2, 1, 0),
];

/// Polyhedron vertices for "lilac" - 78 CAUS samples, 20 vertices.
pub const POLYHEDRON_LILAC_VERTICES: [(f64, f64, f64); 20] = [
        (0.58, -2.28, 6.37),
        (1.60, -5.12, 3.86),
        (1.26, -3.75, 6.68),
        (3.25, -7.46, 3.60),
        (2.64, -5.43, 6.35),
        (1.75, -3.01, 7.20),
        (1.17, -1.95, 7.16),
        (4.43, -6.42, 3.56),
        (4.67, -6.16, 4.24),
        (1.57, -1.64, 5.88),
        (2.91, -2.41, 7.46),
        (1.93, -1.41, 7.91),
        (3.66, -2.60, 4.25),
        (2.02, -1.43, 5.27),
        (2.12, -1.29, 6.57),
        (6.53, -3.19, 6.66),
        (5.34, -1.44, 5.03),
        (5.85, -1.30, 5.45),
        (4.56, -0.88, 5.02),
        (4.80, -0.41, 6.70),
];

/// Polyhedron faces for "lilac" - 36 triangular faces.
pub const POLYHEDRON_LILAC_FACES: [(usize, usize, usize); 36] = [
        (3, 4, 15),
        (1, 13, 0),
        (13, 1, 12),
        (7, 1, 3),
        (1, 7, 12),
        (11, 19, 15),
        (13, 18, 19),
        (18, 13, 12),
        (8, 3, 15),
        (7, 8, 15),
        (8, 7, 3),
        (2, 1, 0),
        (2, 4, 3),
        (1, 2, 3),
        (13, 9, 0),
        (9, 11, 0),
        (4, 10, 15),
        (10, 11, 15),
        (11, 10, 4),
        (17, 7, 15),
        (18, 17, 19),
        (19, 17, 15),
        (11, 6, 0),
        (6, 2, 0),
        (2, 6, 11),
        (5, 11, 4),
        (2, 5, 4),
        (5, 2, 11),
        (14, 9, 13),
        (9, 14, 11),
        (14, 13, 19),
        (11, 14, 19),
        (17, 16, 7),
        (16, 17, 18),
        (7, 16, 12),
        (16, 18, 12),
];

/// Polyhedron vertices for "magenta" - 25 CAUS samples, 7 vertices.
pub const POLYHEDRON_MAGENTA_VERTICES: [(f64, f64, f64); 7] = [
        (8.91, -4.74, 3.87),
        (8.79, -4.20, 2.92),
        (7.29, -2.97, 2.45),
        (10.35, -4.11, 3.84),
        (7.67, -2.91, 3.81),
        (9.14, -3.35, 3.09),
        (9.47, -2.70, 3.35),
];

/// Polyhedron faces for "magenta" - 10 triangular faces.
pub const POLYHEDRON_MAGENTA_FACES: [(usize, usize, usize); 10] = [
        (4, 0, 2),
        (6, 4, 2),
        (0, 4, 3),
        (4, 6, 3),
        (0, 1, 2),
        (1, 0, 3),
        (6, 5, 3),
        (5, 1, 3),
        (5, 6, 2),
        (1, 5, 2),
];

/// Polyhedron vertices for "mauve" - 181 CAUS samples, 44 vertices.
pub const POLYHEDRON_MAUVE_VERTICES: [(f64, f64, f64); 44] = [
        (2.35, 0.95, 7.99),
        (1.51, 0.99, 3.26),
        (0.84, 0.65, 3.56),
        (1.80, 1.51, 4.43),
        (1.05, 1.03, 7.62),
        (0.75, 0.76, 6.58),
        (1.10, 1.16, 7.77),
        (1.49, 1.66, 8.01),
        (1.43, 1.61, 3.83),
        (1.48, 2.00, 7.01),
        (1.32, 1.79, 6.00),
        (0.66, 1.20, 5.69),
        (0.56, -3.12, 4.73),
        (0.94, -3.76, 4.00),
        (1.26, -4.08, 6.25),
        (1.49, -4.65, 3.53),
        (1.94, -5.18, 4.22),
        (2.26, -5.43, 4.66),
        (0.95, -2.12, 7.22),
        (0.99, -1.90, 3.10),
        (2.29, -4.27, 6.16),
        (3.36, -5.86, 3.38),
        (3.51, -5.82, 3.95),
        (4.20, -5.69, 4.78),
        (3.05, -3.88, 6.71),
        (0.56, -0.70, 5.68),
        (2.39, -2.79, 7.15),
        (2.17, -2.32, 2.29),
        (5.76, -5.40, 4.25),
        (2.49, -2.18, 7.45),
        (6.62, -4.90, 5.26),
        (4.34, -3.21, 6.98),
        (0.96, -0.66, 3.05),
        (5.12, -3.16, 3.27),
        (7.26, -4.24, 6.00),
        (7.98, -4.43, 5.27),
        (7.12, -3.47, 4.44),
        (2.67, -1.24, 2.42),
        (7.15, -3.10, 4.65),
        (5.71, -1.66, 7.20),
        (3.75, -0.79, 3.05),
        (5.93, -0.90, 6.85),
        (5.53, -0.66, 5.34),
        (5.14, -0.35, 4.34),
];

/// Polyhedron faces for "mauve" - 84 triangular faces.
pub const POLYHEDRON_MAUVE_FACES: [(usize, usize, usize); 84] = [
        (15, 21, 27),
        (8, 11, 2),
        (15, 13, 12),
        (14, 15, 12),
        (2, 25, 12),
        (11, 25, 2),
        (11, 10, 9),
        (10, 8, 9),
        (8, 10, 11),
        (19, 15, 27),
        (19, 13, 15),
        (13, 19, 12),
        (39, 31, 29),
        (34, 31, 39),
        (0, 39, 29),
        (7, 0, 29),
        (6, 11, 9),
        (7, 6, 9),
        (34, 41, 35),
        (41, 34, 39),
        (0, 41, 39),
        (43, 41, 9),
        (41, 0, 7),
        (41, 7, 9),
        (8, 3, 9),
        (3, 43, 9),
        (43, 3, 8),
        (1, 43, 8),
        (1, 8, 2),
        (37, 1, 27),
        (36, 28, 35),
        (32, 19, 27),
        (1, 32, 27),
        (32, 1, 2),
        (32, 2, 12),
        (19, 32, 12),
        (14, 16, 15),
        (17, 16, 14),
        (15, 16, 21),
        (16, 17, 21),
        (23, 28, 21),
        (23, 17, 14),
        (5, 25, 11),
        (6, 5, 11),
        (18, 14, 12),
        (25, 18, 12),
        (5, 18, 25),
        (26, 18, 29),
        (18, 7, 29),
        (18, 6, 7),
        (41, 38, 35),
        (38, 36, 35),
        (36, 38, 43),
        (40, 36, 43),
        (1, 40, 43),
        (40, 1, 37),
        (17, 22, 21),
        (22, 23, 21),
        (23, 22, 17),
        (28, 30, 35),
        (23, 30, 28),
        (30, 34, 35),
        (30, 23, 34),
        (24, 31, 34),
        (23, 24, 34),
        (18, 24, 14),
        (24, 18, 26),
        (31, 24, 29),
        (24, 26, 29),
        (4, 5, 6),
        (18, 4, 6),
        (4, 18, 5),
        (42, 41, 43),
        (38, 42, 43),
        (42, 38, 41),
        (33, 40, 37),
        (40, 33, 36),
        (33, 37, 27),
        (21, 33, 27),
        (28, 33, 21),
        (36, 33, 28),
        (20, 23, 14),
        (24, 20, 14),
        (20, 24, 23),
];

/// Polyhedron vertices for "navy" - 100 CAUS samples, 24 vertices.
pub const POLYHEDRON_NAVY_VERTICES: [(f64, f64, f64); 24] = [
        (-0.16, -1.70, 1.75),
        (-0.15, -2.80, 2.18),
        (0.11, -3.90, 2.41),
        (0.16, -2.58, 2.77),
        (0.34, -4.80, 2.17),
        (0.15, -1.93, 1.47),
        (0.12, -1.37, 1.42),
        (0.51, -5.51, 2.17),
        (0.14, -1.31, 1.81),
        (0.57, -4.95, 1.61),
        (0.78, -6.05, 2.73),
        (0.25, -1.72, 1.39),
        (1.07, -7.13, 2.21),
        (0.26, -1.58, 1.41),
        (0.66, -3.70, 1.55),
        (0.31, -1.54, 1.43),
        (1.07, -4.40, 1.92),
        (0.35, -1.32, 1.56),
        (0.77, -2.73, 2.61),
        (0.83, -2.74, 1.77),
        (0.39, -1.27, 1.80),
        (0.49, -1.59, 2.01),
        (0.90, -2.85, 2.15),
        (0.85, -2.13, 2.00),
];

/// Polyhedron faces for "navy" - 44 triangular faces.
pub const POLYHEDRON_NAVY_FACES: [(usize, usize, usize); 44] = [
        (9, 12, 16),
        (12, 18, 16),
        (10, 2, 3),
        (10, 18, 12),
        (18, 10, 3),
        (1, 9, 0),
        (3, 1, 0),
        (2, 1, 3),
        (8, 3, 0),
        (8, 20, 3),
        (22, 23, 16),
        (18, 22, 16),
        (22, 18, 23),
        (21, 20, 23),
        (18, 21, 23),
        (20, 21, 3),
        (21, 18, 3),
        (7, 10, 12),
        (10, 7, 2),
        (9, 7, 12),
        (9, 5, 0),
        (14, 9, 16),
        (14, 11, 9),
        (4, 1, 2),
        (7, 4, 2),
        (1, 4, 9),
        (4, 7, 9),
        (11, 6, 9),
        (6, 5, 9),
        (5, 6, 0),
        (13, 6, 11),
        (6, 8, 0),
        (19, 14, 16),
        (23, 19, 16),
        (20, 17, 23),
        (8, 17, 20),
        (6, 17, 8),
        (15, 6, 13),
        (15, 17, 6),
        (15, 13, 11),
        (15, 19, 23),
        (17, 15, 23),
        (14, 15, 11),
        (19, 15, 14),
];

/// Polyhedron vertices for "peach" - 102 CAUS samples, 28 vertices.
pub const POLYHEDRON_PEACH_VERTICES: [(f64, f64, f64); 28] = [
        (5.48, 2.97, 6.04),
        (4.64, 2.58, 6.54),
        (7.96, 4.46, 6.89),
        (7.51, 4.32, 6.13),
        (4.91, 3.04, 7.40),
        (4.54, 3.00, 7.73),
        (6.09, 4.18, 7.84),
        (4.40, 3.06, 7.90),
        (6.74, 5.22, 6.45),
        (6.56, 5.37, 7.34),
        (4.19, 4.02, 5.00),
        (5.48, 5.43, 7.72),
        (3.55, 4.68, 8.23),
        (1.52, 2.24, 7.99),
        (1.77, 2.62, 8.59),
        (2.23, 3.48, 6.27),
        (2.72, 4.57, 5.93),
        (3.36, 5.70, 6.10),
        (3.68, 6.57, 7.67),
        (1.35, 2.61, 8.33),
        (2.84, 5.87, 7.06),
        (1.93, 4.13, 6.46),
        (2.14, 4.60, 8.49),
        (2.45, 5.73, 7.80),
        (1.93, 4.76, 8.49),
        (1.04, 2.72, 7.62),
        (1.55, 4.11, 8.42),
        (1.69, 4.87, 8.37),
];

/// Polyhedron faces for "peach" - 52 triangular faces.
pub const POLYHEDRON_PEACH_FACES: [(usize, usize, usize); 52] = [
        (0, 1, 2),
        (1, 0, 10),
        (15, 21, 25),
        (13, 15, 25),
        (15, 1, 10),
        (15, 13, 1),
        (17, 8, 18),
        (8, 17, 10),
        (3, 0, 2),
        (0, 3, 10),
        (8, 3, 2),
        (3, 8, 10),
        (6, 9, 2),
        (9, 8, 2),
        (8, 9, 18),
        (13, 5, 1),
        (5, 13, 14),
        (26, 24, 14),
        (19, 13, 25),
        (13, 19, 14),
        (26, 19, 25),
        (19, 26, 14),
        (17, 16, 10),
        (16, 17, 21),
        (16, 15, 10),
        (15, 16, 21),
        (17, 20, 21),
        (20, 23, 21),
        (20, 17, 18),
        (23, 20, 18),
        (9, 11, 18),
        (11, 9, 6),
        (11, 24, 18),
        (6, 7, 14),
        (7, 5, 14),
        (7, 6, 2),
        (5, 7, 2),
        (1, 4, 2),
        (4, 5, 2),
        (5, 4, 1),
        (27, 23, 18),
        (24, 27, 18),
        (27, 24, 26),
        (27, 26, 25),
        (23, 27, 21),
        (21, 27, 25),
        (22, 6, 14),
        (24, 22, 14),
        (11, 12, 24),
        (12, 22, 24),
        (12, 11, 6),
        (22, 12, 6),
];

/// Polyhedron vertices for "rose" - 467 CAUS samples, 51 vertices.
pub const POLYHEDRON_ROSE_VERTICES: [(f64, f64, f64); 51] = [
        (14.69, 0.02, 4.07),
        (15.69, 0.54, 5.26),
        (11.05, 1.20, 6.61),
        (5.81, 0.94, 8.10),
        (13.81, 2.73, 4.01),
        (7.73, 1.64, 2.34),
        (6.23, 1.38, 2.27),
        (12.78, 2.94, 5.23),
        (12.51, 3.69, 4.25),
        (11.04, 3.63, 3.31),
        (7.79, 2.83, 7.24),
        (6.50, 2.63, 2.54),
        (9.67, 4.03, 5.78),
        (3.61, 1.68, 8.20),
        (3.48, 1.80, 3.11),
        (4.43, 2.41, 8.01),
        (2.59, 1.56, 8.20),
        (6.30, 3.88, 7.29),
        (3.23, 2.63, 3.25),
        (2.32, 2.03, 8.10),
        (5.01, 4.49, 7.34),
        (6.17, 5.76, 5.12),
        (2.62, 3.19, 8.05),
        (1.84, 2.31, 3.65),
        (2.50, 4.11, 7.30),
        (1.73, 3.04, 5.95),
        (1.82, 3.43, 7.03),
        (0.59, 1.76, 7.74),
        (6.08, -4.63, 3.17),
        (8.16, -5.22, 3.55),
        (6.50, -4.14, 2.37),
        (6.67, -3.96, 6.13),
        (10.02, -5.34, 4.76),
        (2.60, -1.31, 6.31),
        (4.19, -1.97, 2.92),
        (12.10, -5.15, 3.79),
        (11.73, -4.92, 3.64),
        (10.21, -4.15, 5.90),
        (4.89, -1.59, 2.53),
        (11.65, -3.27, 3.32),
        (8.91, -2.31, 6.78),
        (8.07, -2.03, 2.52),
        (2.51, -0.57, 6.90),
        (12.90, -2.59, 3.60),
        (13.52, -2.26, 6.00),
        (7.73, -1.17, 2.42),
        (15.23, -2.18, 4.42),
        (13.68, -1.68, 3.69),
        (11.32, -1.33, 3.06),
        (15.02, -0.59, 4.18),
        (8.60, -0.18, 2.53),
];

/// Polyhedron faces for "rose" - 98 triangular faces.
pub const POLYHEDRON_ROSE_FACES: [(usize, usize, usize); 98] = [
        (23, 25, 27),
        (23, 18, 21),
        (9, 8, 21),
        (33, 31, 28),
        (33, 23, 27),
        (31, 37, 32),
        (16, 31, 27),
        (31, 16, 3),
        (29, 31, 32),
        (31, 29, 28),
        (8, 4, 1),
        (4, 8, 9),
        (24, 23, 21),
        (24, 25, 23),
        (24, 22, 27),
        (11, 9, 21),
        (18, 11, 21),
        (11, 18, 6),
        (14, 38, 6),
        (38, 14, 23),
        (18, 14, 6),
        (14, 18, 23),
        (34, 38, 23),
        (34, 33, 28),
        (33, 34, 23),
        (29, 30, 28),
        (30, 34, 28),
        (34, 30, 38),
        (38, 30, 6),
        (31, 42, 27),
        (42, 33, 27),
        (33, 42, 31),
        (35, 29, 32),
        (35, 30, 29),
        (37, 35, 32),
        (35, 37, 44),
        (44, 40, 3),
        (37, 40, 44),
        (40, 31, 3),
        (40, 37, 31),
        (22, 19, 27),
        (19, 16, 27),
        (16, 19, 22),
        (16, 13, 3),
        (13, 16, 22),
        (17, 10, 3),
        (15, 17, 3),
        (13, 15, 3),
        (15, 13, 22),
        (8, 12, 21),
        (24, 20, 22),
        (20, 15, 22),
        (15, 20, 17),
        (20, 24, 21),
        (12, 20, 21),
        (20, 12, 17),
        (25, 26, 27),
        (26, 24, 27),
        (24, 26, 25),
        (30, 5, 6),
        (5, 48, 9),
        (5, 11, 6),
        (11, 5, 9),
        (46, 35, 44),
        (46, 44, 1),
        (30, 39, 48),
        (2, 10, 1),
        (10, 2, 3),
        (44, 2, 1),
        (2, 44, 3),
        (7, 8, 1),
        (7, 12, 8),
        (12, 7, 17),
        (10, 7, 1),
        (7, 10, 17),
        (45, 5, 30),
        (4, 49, 1),
        (49, 46, 1),
        (35, 36, 30),
        (36, 39, 30),
        (39, 36, 35),
        (46, 47, 35),
        (49, 47, 46),
        (39, 47, 48),
        (41, 30, 48),
        (45, 41, 48),
        (41, 45, 30),
        (5, 50, 48),
        (50, 45, 48),
        (45, 50, 5),
        (43, 39, 35),
        (47, 43, 35),
        (43, 47, 39),
        (0, 49, 4),
        (0, 47, 49),
        (47, 0, 48),
        (0, 4, 9),
        (48, 0, 9),
];

/// Polyhedron vertices for "rust" - 93 CAUS samples, 24 vertices.
pub const POLYHEDRON_RUST_VERTICES: [(f64, f64, f64); 24] = [
        (6.70, 2.11, 3.13),
        (7.12, 2.36, 3.16),
        (8.69, 3.45, 3.03),
        (4.96, 1.99, 3.13),
        (7.37, 3.05, 2.74),
        (8.69, 4.53, 5.29),
        (6.20, 3.38, 2.64),
        (4.44, 2.48, 2.48),
        (8.07, 4.64, 3.25),
        (5.45, 3.16, 2.49),
        (9.56, 5.67, 4.35),
        (4.36, 2.85, 2.46),
        (8.69, 5.80, 3.90),
        (3.87, 2.74, 3.72),
        (7.84, 5.58, 5.06),
        (5.42, 4.06, 2.83),
        (6.60, 4.98, 5.28),
        (4.71, 3.67, 5.63),
        (3.64, 3.04, 3.83),
        (3.35, 2.89, 2.96),
        (3.33, 3.03, 2.42),
        (4.92, 5.54, 3.53),
        (5.02, 6.10, 4.34),
        (3.29, 4.63, 3.77),
];

/// Polyhedron faces for "rust" - 44 triangular faces.
pub const POLYHEDRON_RUST_FACES: [(usize, usize, usize); 44] = [
        (22, 17, 23),
        (17, 18, 23),
        (2, 5, 10),
        (21, 22, 23),
        (13, 17, 3),
        (13, 18, 17),
        (14, 22, 10),
        (5, 14, 10),
        (17, 0, 3),
        (5, 0, 17),
        (20, 21, 23),
        (22, 12, 10),
        (21, 12, 22),
        (12, 2, 10),
        (16, 5, 17),
        (16, 14, 5),
        (22, 16, 17),
        (14, 16, 22),
        (4, 0, 2),
        (2, 1, 5),
        (1, 0, 5),
        (0, 1, 2),
        (19, 13, 3),
        (20, 19, 3),
        (13, 19, 18),
        (18, 19, 23),
        (19, 20, 23),
        (0, 7, 3),
        (7, 20, 3),
        (7, 4, 9),
        (4, 7, 0),
        (8, 12, 21),
        (12, 8, 2),
        (20, 11, 9),
        (11, 7, 9),
        (7, 11, 20),
        (8, 15, 9),
        (15, 8, 21),
        (15, 20, 9),
        (20, 15, 21),
        (6, 8, 9),
        (8, 6, 2),
        (4, 6, 9),
        (6, 4, 2),
];

/// Polyhedron vertices for "sand" - 123 CAUS samples, 24 vertices.
pub const POLYHEDRON_SAND_VERTICES: [(f64, f64, f64); 24] = [
        (1.80, 1.51, 4.43),
        (1.39, 1.38, 5.72),
        (0.66, 0.69, 4.80),
        (3.13, 3.36, 5.45),
        (1.79, 2.41, 3.92),
        (0.57, 0.80, 6.92),
        (3.51, 5.06, 6.14),
        (2.90, 4.36, 7.13),
        (1.67, 3.09, 4.36),
        (2.33, 5.17, 5.67),
        (2.16, 5.23, 5.95),
        (1.54, 4.12, 5.38),
        (1.61, 4.57, 7.64),
        (0.83, 2.80, 8.64),
        (0.77, 2.81, 5.19),
        (0.29, 1.12, 8.23),
        (0.46, 1.92, 8.51),
        (0.37, 1.76, 4.68),
        (0.62, 3.05, 8.58),
        (0.11, 0.81, 7.90),
        (0.09, 0.81, 7.63),
        (0.30, 2.81, 8.35),
        (0.22, 2.49, 8.32),
        (-0.20, 2.20, 6.99),
];

/// Polyhedron faces for "sand" - 44 triangular faces.
pub const POLYHEDRON_SAND_FACES: [(usize, usize, usize); 44] = [
        (19, 20, 23),
        (20, 19, 2),
        (14, 11, 23),
        (11, 10, 23),
        (19, 5, 2),
        (0, 4, 2),
        (5, 0, 2),
        (0, 5, 1),
        (4, 17, 2),
        (14, 17, 11),
        (17, 14, 23),
        (20, 17, 23),
        (17, 20, 2),
        (9, 10, 11),
        (9, 4, 6),
        (10, 9, 6),
        (15, 5, 19),
        (15, 16, 13),
        (7, 15, 13),
        (12, 7, 13),
        (12, 10, 6),
        (7, 12, 6),
        (10, 12, 23),
        (12, 21, 23),
        (5, 3, 1),
        (3, 0, 1),
        (3, 15, 7),
        (15, 3, 5),
        (3, 7, 6),
        (4, 3, 6),
        (0, 3, 4),
        (22, 19, 23),
        (21, 22, 23),
        (22, 15, 19),
        (15, 22, 16),
        (8, 9, 11),
        (9, 8, 4),
        (17, 8, 11),
        (8, 17, 4),
        (18, 12, 13),
        (12, 18, 21),
        (16, 18, 13),
        (22, 18, 16),
        (18, 22, 21),
];

/// Polyhedron vertices for "tan" - 129 CAUS samples, 27 vertices.
pub const POLYHEDRON_TAN_VERTICES: [(f64, f64, f64); 27] = [
        (3.62, 2.90, 3.92),
        (4.08, 3.70, 3.57),
        (4.23, 4.48, 4.06),
        (1.89, 2.08, 3.55),
        (2.81, 3.08, 6.43),
        (3.07, 3.51, 6.35),
        (4.55, 5.24, 5.10),
        (4.13, 5.11, 5.52),
        (3.16, 4.09, 3.61),
        (3.68, 4.80, 5.94),
        (0.86, 1.13, 4.45),
        (3.00, 5.33, 4.72),
        (1.86, 3.63, 7.25),
        (2.36, 5.02, 4.19),
        (0.69, 1.51, 4.03),
        (2.22, 5.37, 6.00),
        (0.79, 2.02, 3.96),
        (1.22, 3.18, 3.69),
        (1.13, 3.44, 7.72),
        (0.67, 2.19, 7.38),
        (0.75, 2.51, 4.35),
        (1.45, 4.88, 5.40),
        (0.51, 2.39, 4.90),
        (0.45, 2.43, 7.16),
        (0.38, 2.09, 5.24),
        (0.64, 3.60, 5.64),
        (0.22, 2.17, 5.87),
];

/// Polyhedron faces for "tan" - 50 triangular faces.
pub const POLYHEDRON_TAN_FACES: [(usize, usize, usize); 50] = [
        (7, 15, 6),
        (4, 19, 18),
        (0, 4, 6),
        (4, 5, 6),
        (15, 11, 6),
        (13, 11, 15),
        (21, 13, 15),
        (18, 21, 15),
        (25, 21, 18),
        (21, 25, 17),
        (13, 21, 17),
        (23, 19, 26),
        (19, 23, 18),
        (25, 23, 26),
        (23, 25, 18),
        (1, 0, 6),
        (0, 10, 4),
        (10, 19, 4),
        (19, 10, 26),
        (9, 18, 15),
        (7, 9, 15),
        (9, 7, 6),
        (5, 9, 6),
        (2, 1, 6),
        (11, 2, 6),
        (2, 11, 13),
        (10, 14, 26),
        (9, 12, 18),
        (12, 9, 5),
        (12, 4, 18),
        (12, 5, 4),
        (8, 2, 13),
        (2, 8, 1),
        (8, 13, 17),
        (22, 25, 26),
        (14, 24, 26),
        (24, 22, 26),
        (22, 24, 14),
        (25, 20, 17),
        (22, 20, 25),
        (3, 14, 10),
        (3, 10, 0),
        (14, 3, 17),
        (1, 3, 0),
        (3, 8, 17),
        (8, 3, 1),
        (16, 22, 14),
        (16, 20, 22),
        (16, 14, 17),
        (20, 16, 17),
];

/// Polyhedron vertices for "taupe" - 76 CAUS samples, 23 vertices.
pub const POLYHEDRON_TAUPE_VERTICES: [(f64, f64, f64); 23] = [
        (0.43, 0.00, 3.25),
        (0.79, 0.09, 2.88),
        (1.24, 0.28, 4.28),
        (1.27, 0.30, 3.02),
        (0.57, 0.19, 2.50),
        (0.86, 0.42, 2.51),
        (1.89, 1.12, 4.17),
        (1.75, 1.14, 5.40),
        (0.98, 0.66, 2.77),
        (0.73, 0.60, 5.83),
        (1.10, 0.97, 3.14),
        (0.96, 0.89, 6.58),
        (1.65, 1.90, 4.49),
        (0.54, 0.70, 2.88),
        (1.23, 1.73, 6.15),
        (0.36, 0.75, 3.13),
        (0.30, 0.64, 4.25),
        (0.63, 1.44, 3.73),
        (0.54, 1.50, 6.91),
        (0.28, 0.78, 5.03),
        (0.74, 2.14, 5.52),
        (0.44, 1.96, 6.79),
        (0.98, -0.02, 3.91),
];

/// Polyhedron faces for "taupe" - 42 triangular faces.
pub const POLYHEDRON_TAUPE_FACES: [(usize, usize, usize); 42] = [
        (16, 15, 19),
        (14, 7, 11),
        (14, 21, 20),
        (15, 21, 19),
        (21, 17, 20),
        (17, 21, 15),
        (22, 9, 11),
        (15, 0, 4),
        (16, 0, 15),
        (0, 16, 19),
        (9, 0, 19),
        (0, 9, 22),
        (17, 12, 20),
        (12, 14, 20),
        (7, 12, 6),
        (12, 7, 14),
        (13, 15, 4),
        (13, 17, 15),
        (2, 22, 11),
        (7, 2, 11),
        (2, 7, 6),
        (3, 2, 6),
        (2, 3, 22),
        (1, 3, 4),
        (3, 1, 22),
        (0, 1, 4),
        (1, 0, 22),
        (9, 18, 11),
        (18, 14, 11),
        (18, 21, 14),
        (21, 18, 19),
        (18, 9, 19),
        (10, 12, 17),
        (8, 10, 17),
        (12, 10, 6),
        (10, 8, 6),
        (13, 5, 17),
        (5, 8, 17),
        (5, 13, 4),
        (3, 5, 4),
        (5, 3, 6),
        (8, 5, 6),
];

/// Polyhedron vertices for "teal" - 43 CAUS samples, 15 vertices.
pub const POLYHEDRON_TEAL_VERTICES: [(f64, f64, f64); 15] = [
        (-6.10, -1.64, 3.82),
        (-4.59, -1.25, 2.96),
        (-5.03, -1.91, 3.89),
        (-2.79, -1.87, 3.11),
        (-5.46, -3.67, 3.58),
        (-5.22, -3.51, 3.71),
        (-2.49, -1.87, 2.64),
        (-2.37, -2.00, 2.48),
        (-2.87, -2.90, 2.54),
        (-2.81, -2.93, 4.06),
        (-3.37, -4.79, 3.64),
        (-1.57, -3.04, 2.57),
        (-1.35, -2.78, 2.99),
        (-2.48, -5.36, 3.44),
        (-1.29, -3.28, 3.38),
];

/// Polyhedron faces for "teal" - 26 triangular faces.
pub const POLYHEDRON_TEAL_FACES: [(usize, usize, usize); 26] = [
        (13, 9, 14),
        (11, 13, 14),
        (4, 1, 0),
        (10, 9, 13),
        (4, 10, 13),
        (8, 11, 7),
        (1, 8, 7),
        (8, 1, 4),
        (8, 4, 13),
        (11, 8, 13),
        (6, 1, 7),
        (6, 3, 1),
        (9, 12, 14),
        (3, 12, 9),
        (6, 12, 3),
        (12, 6, 7),
        (12, 11, 14),
        (11, 12, 7),
        (1, 2, 0),
        (3, 2, 1),
        (2, 9, 0),
        (2, 3, 9),
        (10, 5, 9),
        (5, 10, 4),
        (9, 5, 0),
        (5, 4, 0),
];

/// Polyhedron vertices for "turquoise" - 121 CAUS samples, 26 vertices.
pub const POLYHEDRON_TURQUOISE_VERTICES: [(f64, f64, f64); 26] = [
        (-3.63, -0.21, 5.73),
        (-7.26, -1.18, 5.79),
        (-2.69, -0.69, 6.26),
        (-2.41, -0.77, 5.71),
        (-4.44, -1.44, 4.05),
        (-7.70, -2.50, 5.05),
        (-4.70, -1.69, 7.14),
        (-3.93, -1.55, 3.96),
        (-6.34, -2.68, 3.73),
        (-7.59, -3.83, 6.35),
        (-6.57, -3.36, 7.09),
        (-7.13, -5.37, 5.43),
        (-2.66, -2.40, 7.16),
        (-1.55, -1.61, 6.34),
        (-5.62, -6.83, 4.96),
        (-6.06, -7.46, 6.84),
        (-5.14, -7.02, 4.49),
        (-2.29, -3.57, 3.94),
        (-4.05, -6.33, 3.85),
        (-1.35, -2.21, 5.94),
        (-1.37, -2.37, 6.46),
        (-2.75, -5.61, 6.34),
        (-3.36, -7.52, 6.02),
        (-2.29, -5.77, 3.49),
        (-2.84, -7.64, 5.58),
        (-1.69, -6.72, 4.15),
];

/// Polyhedron faces for "turquoise" - 48 triangular faces.
pub const POLYHEDRON_TURQUOISE_FACES: [(usize, usize, usize); 48] = [
        (25, 16, 24),
        (7, 8, 23),
        (17, 7, 23),
        (17, 25, 19),
        (25, 17, 23),
        (18, 25, 23),
        (25, 18, 16),
        (8, 18, 23),
        (18, 8, 16),
        (8, 1, 5),
        (3, 0, 7),
        (3, 17, 19),
        (17, 3, 7),
        (12, 15, 10),
        (16, 15, 24),
        (14, 15, 16),
        (4, 8, 7),
        (4, 1, 8),
        (0, 4, 7),
        (1, 4, 0),
        (25, 20, 19),
        (20, 25, 24),
        (13, 20, 12),
        (13, 3, 19),
        (20, 13, 19),
        (15, 22, 24),
        (22, 15, 12),
        (15, 9, 10),
        (1, 9, 5),
        (9, 1, 10),
        (6, 1, 0),
        (1, 6, 10),
        (6, 12, 10),
        (20, 21, 12),
        (21, 22, 12),
        (21, 20, 24),
        (22, 21, 24),
        (9, 11, 5),
        (11, 9, 15),
        (8, 11, 16),
        (11, 14, 16),
        (11, 8, 5),
        (11, 15, 14),
        (2, 6, 0),
        (3, 2, 0),
        (13, 2, 3),
        (2, 13, 12),
        (6, 2, 12),
];

/// Polyhedron vertices for "violet" - 178 CAUS samples, 31 vertices.
pub const POLYHEDRON_VIOLET_VERTICES: [(f64, f64, f64); 31] = [
        (1.33, 0.04, 6.37),
        (1.40, -6.89, 4.31),
        (1.13, -5.13, 2.51),
        (1.52, -6.83, 2.96),
        (0.81, -3.25, 4.91),
        (2.42, -8.37, 4.31),
        (2.16, -7.09, 2.13),
        (2.88, -8.92, 2.29),
        (3.87, -10.43, 2.43),
        (3.77, -7.93, 2.03),
        (0.97, -1.95, 1.46),
        (0.88, -1.74, 2.67),
        (3.80, -6.89, 5.42),
        (3.46, -6.16, 1.86),
        (4.42, -6.81, 2.00),
        (7.68, -8.52, 3.40),
        (1.21, -1.24, 6.47),
        (7.77, -7.87, 2.57),
        (8.01, -8.08, 2.92),
        (6.60, -6.59, 5.00),
        (8.47, -6.98, 3.66),
        (7.66, -5.82, 5.30),
        (4.44, -2.69, 6.83),
        (5.26, -3.00, 1.92),
        (9.31, -4.63, 3.05),
        (9.31, -4.47, 3.30),
        (4.74, -2.00, 5.68),
        (7.61, -2.51, 2.63),
        (3.80, -0.70, 4.80),
        (2.27, -0.30, 6.17),
        (5.29, -0.70, 1.98),
];

/// Polyhedron faces for "violet" - 58 triangular faces.
pub const POLYHEDRON_VIOLET_FACES: [(usize, usize, usize); 58] = [
        (10, 11, 4),
        (30, 0, 10),
        (0, 11, 10),
        (11, 0, 4),
        (27, 30, 24),
        (30, 27, 28),
        (27, 26, 28),
        (30, 23, 24),
        (23, 30, 10),
        (1, 5, 8),
        (25, 21, 22),
        (26, 25, 22),
        (25, 27, 24),
        (27, 25, 26),
        (5, 12, 8),
        (21, 12, 22),
        (2, 6, 10),
        (6, 2, 3),
        (2, 1, 3),
        (2, 10, 4),
        (1, 2, 4),
        (9, 13, 10),
        (13, 9, 14),
        (13, 23, 10),
        (23, 13, 14),
        (6, 7, 10),
        (7, 9, 10),
        (9, 7, 8),
        (7, 6, 3),
        (7, 1, 8),
        (1, 7, 3),
        (26, 29, 28),
        (29, 30, 28),
        (29, 0, 30),
        (29, 26, 22),
        (0, 29, 22),
        (17, 9, 8),
        (18, 17, 8),
        (9, 17, 14),
        (17, 23, 14),
        (17, 18, 24),
        (23, 17, 24),
        (25, 20, 21),
        (18, 20, 24),
        (20, 25, 24),
        (12, 15, 8),
        (15, 18, 8),
        (20, 15, 21),
        (15, 20, 18),
        (16, 0, 22),
        (12, 16, 22),
        (1, 16, 5),
        (16, 12, 5),
        (0, 16, 4),
        (16, 1, 4),
        (19, 12, 21),
        (15, 19, 21),
        (19, 15, 12),
];

/// Polyhedron vertices for "wine" - 83 CAUS samples, 21 vertices.
pub const POLYHEDRON_WINE_VERTICES: [(f64, f64, f64); 21] = [
        (8.00, 0.44, 3.04),
        (8.77, 1.16, 2.59),
        (2.04, 0.36, 1.78),
        (9.43, 2.08, 2.71),
        (5.12, 1.26, 1.82),
        (5.51, 1.53, 1.88),
        (7.90, 2.24, 2.46),
        (5.89, 1.90, 2.04),
        (6.35, 2.07, 2.23),
        (7.40, 2.49, 3.06),
        (2.67, 0.93, 1.46),
        (2.68, 1.12, 1.51),
        (2.85, 1.28, 1.61),
        (4.29, 2.16, 2.48),
        (2.07, 2.54, 5.60),
        (5.70, -2.36, 2.16),
        (3.18, -1.06, 2.59),
        (3.01, -0.83, 1.75),
        (5.85, -1.35, 2.82),
        (2.22, -0.23, 1.54),
        (6.34, -0.06, 3.27),
];

/// Polyhedron faces for "wine" - 38 triangular faces.
pub const POLYHEDRON_WINE_FACES: [(usize, usize, usize); 38] = [
        (16, 14, 15),
        (0, 14, 3),
        (14, 9, 3),
        (13, 9, 14),
        (19, 10, 2),
        (10, 19, 15),
        (14, 19, 2),
        (16, 19, 14),
        (14, 18, 15),
        (18, 0, 15),
        (17, 16, 15),
        (19, 17, 15),
        (17, 19, 16),
        (5, 1, 3),
        (1, 5, 15),
        (1, 0, 3),
        (0, 1, 15),
        (4, 10, 15),
        (5, 4, 15),
        (4, 5, 10),
        (12, 13, 14),
        (0, 20, 14),
        (20, 18, 14),
        (18, 20, 0),
        (5, 11, 10),
        (10, 11, 2),
        (11, 14, 2),
        (11, 12, 14),
        (7, 11, 5),
        (11, 7, 12),
        (12, 7, 13),
        (7, 8, 13),
        (7, 6, 8),
        (6, 5, 3),
        (6, 7, 5),
        (9, 6, 3),
        (6, 9, 13),
        (8, 6, 13),
];


// ============================================================================
// 10 Basic Color Terms (also in Centore's dataset)
// ============================================================================

/// Polyhedron vertices for "blue" - 1673 CAUS samples, 66 vertices.
pub const POLYHEDRON_BLUE_VERTICES: [(f64, f64, f64); 66] = [
        (0.22, 0.88, 7.29),
        (0.09, 0.66, 7.93),
        (-0.43, 0.27, 8.18),
        (-1.43, 0.83, 6.18),
        (-2.21, 0.70, 5.19),
        (-2.14, 0.67, 8.42),
        (-1.82, 0.51, 3.58),
        (-2.20, 0.23, 3.39),
        (-3.04, 0.14, 6.47),
        (-3.81, -0.71, 8.19),
        (-4.40, -1.26, 8.01),
        (-2.03, -0.67, 2.21),
        (-6.91, -2.66, 4.54),
        (-5.60, -2.69, 7.12),
        (-3.49, -1.84, 2.29),
        (-7.39, -3.95, 4.32),
        (-6.49, -3.80, 6.28),
        (-6.49, -4.14, 6.43),
        (-4.60, -3.07, 7.78),
        (-4.82, -3.55, 7.62),
        (-5.49, -5.34, 6.97),
        (-4.24, -4.62, 7.41),
        (-5.33, -6.15, 6.23),
        (-4.96, -6.96, 5.62),
        (-4.48, -7.06, 3.82),
        (-4.71, -7.45, 4.44),
        (-3.82, -6.24, 3.02),
        (-1.54, -3.00, 8.01),
        (-0.68, -1.65, 8.35),
        (-3.43, -8.38, 5.43),
        (-0.26, -1.15, 8.35),
        (-1.03, -7.03, 6.68),
        (-1.04, -10.58, 3.38),
        (-0.87, -11.20, 3.90),
        (-0.16, -5.63, 7.23),
        (0.25, -11.13, 4.70),
        (0.31, -4.35, 7.63),
        (0.34, -4.60, 1.28),
        (0.89, -11.61, 4.26),
        (0.94, -9.63, 5.36),
        (0.07, -0.74, 8.12),
        (1.22, -11.19, 2.64),
        (0.14, -1.16, 1.15),
        (1.57, -12.82, 3.23),
        (1.37, -10.33, 2.20),
        (1.23, -9.26, 1.97),
        (0.33, -2.36, 1.09),
        (1.93, -12.19, 3.11),
        (1.94, -11.00, 2.32),
        (1.03, -5.33, 1.28),
        (2.18, -10.40, 2.12),
        (0.62, -2.84, 7.63),
        (2.04, -8.42, 5.12),
        (2.67, -10.91, 2.54),
        (2.07, -8.32, 1.85),
        (2.68, -10.76, 2.74),
        (2.96, -9.77, 2.28),
        (1.52, -4.69, 1.50),
        (2.81, -7.07, 4.57),
        (2.58, -6.39, 5.00),
        (0.39, -0.94, 1.16),
        (2.57, -5.80, 2.04),
        (2.69, -2.69, 5.37),
        (1.55, -1.46, 6.67),
        (1.61, -1.33, 6.47),
        (0.59, -0.43, 2.28),
];

/// Polyhedron faces for "blue" - 128 triangular faces.
pub const POLYHEDRON_BLUE_FACES: [(usize, usize, usize); 128] = [
        (6, 65, 0),
        (65, 62, 0),
        (14, 12, 15),
        (49, 54, 56),
        (49, 37, 45),
        (14, 37, 46),
        (37, 49, 46),
        (60, 65, 6),
        (65, 60, 62),
        (4, 8, 12),
        (12, 16, 15),
        (54, 50, 56),
        (50, 49, 45),
        (50, 54, 49),
        (50, 53, 56),
        (53, 50, 48),
        (44, 50, 45),
        (50, 44, 48),
        (42, 14, 46),
        (60, 42, 46),
        (11, 60, 6),
        (11, 12, 14),
        (42, 11, 14),
        (11, 42, 60),
        (49, 57, 46),
        (57, 60, 46),
        (57, 49, 56),
        (43, 53, 48),
        (35, 43, 33),
        (44, 43, 48),
        (62, 64, 0),
        (3, 6, 0),
        (3, 4, 6),
        (53, 55, 56),
        (7, 11, 6),
        (11, 7, 12),
        (4, 7, 6),
        (7, 4, 12),
        (60, 61, 62),
        (57, 61, 60),
        (62, 61, 56),
        (61, 57, 56),
        (52, 39, 36),
        (39, 34, 36),
        (39, 35, 31),
        (34, 39, 31),
        (43, 39, 52),
        (43, 32, 33),
        (51, 63, 62),
        (63, 51, 40),
        (63, 64, 62),
        (1, 63, 40),
        (64, 1, 0),
        (63, 1, 64),
        (27, 28, 36),
        (34, 27, 36),
        (5, 1, 2),
        (8, 5, 12),
        (5, 8, 4),
        (3, 5, 4),
        (5, 3, 0),
        (1, 5, 0),
        (19, 13, 10),
        (13, 12, 10),
        (13, 16, 12),
        (18, 19, 10),
        (27, 18, 28),
        (58, 55, 52),
        (55, 58, 56),
        (58, 62, 56),
        (47, 43, 52),
        (55, 47, 52),
        (43, 47, 53),
        (47, 55, 53),
        (38, 43, 35),
        (39, 38, 35),
        (38, 39, 43),
        (41, 43, 44),
        (32, 41, 44),
        (41, 32, 43),
        (30, 5, 2),
        (5, 30, 28),
        (28, 30, 36),
        (30, 1, 40),
        (1, 30, 2),
        (51, 30, 40),
        (30, 51, 36),
        (9, 18, 10),
        (18, 9, 28),
        (9, 5, 28),
        (12, 9, 10),
        (5, 9, 12),
        (21, 18, 27),
        (21, 27, 34),
        (18, 21, 19),
        (21, 34, 31),
        (21, 20, 19),
        (20, 21, 31),
        (35, 20, 31),
        (25, 24, 15),
        (32, 25, 33),
        (24, 25, 32),
        (59, 58, 52),
        (59, 52, 36),
        (51, 59, 36),
        (59, 51, 62),
        (58, 59, 62),
        (24, 26, 15),
        (26, 14, 15),
        (26, 37, 14),
        (37, 26, 45),
        (26, 44, 45),
        (26, 32, 44),
        (26, 24, 32),
        (16, 17, 15),
        (17, 22, 15),
        (17, 20, 22),
        (13, 17, 16),
        (17, 13, 19),
        (20, 17, 19),
        (25, 23, 33),
        (22, 23, 15),
        (23, 25, 15),
        (23, 29, 33),
        (29, 35, 33),
        (29, 23, 22),
        (29, 20, 35),
        (20, 29, 22),
];

/// Polyhedron vertices for "brown" - 536 CAUS samples, 33 vertices.
pub const POLYHEDRON_BROWN_VERTICES: [(f64, f64, f64); 33] = [
        (3.81, 0.40, 2.24),
        (3.97, 0.50, 2.09),
        (4.63, 0.87, 3.15),
        (5.58, 1.57, 3.79),
        (3.99, 1.55, 1.95),
        (2.62, 1.12, 1.67),
        (2.91, 1.51, 1.70),
        (0.57, 0.35, 1.65),
        (1.78, 1.19, 5.40),
        (4.88, 3.66, 4.95),
        (4.72, 3.56, 2.92),
        (4.55, 3.47, 2.67),
        (3.03, 2.92, 2.02),
        (4.03, 3.94, 2.85),
        (0.83, 0.83, 4.71),
        (1.10, 1.16, 1.51),
        (4.89, 5.50, 4.53),
        (0.43, 0.50, 3.80),
        (4.81, 6.09, 4.36),
        (4.62, 5.89, 5.59),
        (0.51, 0.73, 1.41),
        (3.03, 4.59, 3.21),
        (1.46, 2.24, 2.01),
        (2.48, 4.78, 6.29),
        (1.89, 3.88, 2.85),
        (0.26, 0.74, 1.89),
        (0.59, 2.06, 6.50),
        (0.43, 1.65, 6.49),
        (1.00, 4.20, 6.14),
        (0.84, 4.57, 5.07),
        (0.19, 2.00, 2.67),
        (-0.01, 0.89, 4.69),
        (1.67, -0.17, 2.00),
];

/// Polyhedron faces for "brown" - 62 triangular faces.
pub const POLYHEDRON_BROWN_FACES: [(usize, usize, usize); 62] = [
        (7, 32, 20),
        (17, 7, 31),
        (7, 17, 32),
        (8, 27, 3),
        (2, 8, 3),
        (8, 2, 32),
        (32, 1, 20),
        (4, 1, 3),
        (1, 2, 3),
        (16, 18, 3),
        (19, 16, 3),
        (16, 19, 18),
        (27, 9, 3),
        (9, 19, 3),
        (19, 9, 27),
        (17, 14, 32),
        (14, 8, 32),
        (8, 14, 27),
        (27, 14, 31),
        (14, 17, 31),
        (24, 21, 18),
        (24, 30, 20),
        (2, 0, 32),
        (0, 1, 32),
        (1, 0, 2),
        (23, 19, 27),
        (30, 25, 20),
        (25, 7, 20),
        (25, 30, 31),
        (7, 25, 31),
        (18, 10, 3),
        (12, 21, 24),
        (21, 12, 18),
        (30, 29, 31),
        (29, 30, 24),
        (29, 27, 31),
        (29, 28, 27),
        (23, 29, 19),
        (29, 23, 28),
        (19, 29, 18),
        (29, 24, 18),
        (28, 26, 27),
        (26, 23, 27),
        (23, 26, 28),
        (22, 24, 20),
        (12, 22, 20),
        (22, 12, 24),
        (12, 6, 4),
        (11, 12, 4),
        (11, 4, 3),
        (10, 11, 3),
        (11, 10, 18),
        (15, 12, 20),
        (6, 15, 20),
        (15, 6, 12),
        (1, 5, 20),
        (5, 6, 20),
        (5, 1, 4),
        (6, 5, 4),
        (12, 13, 18),
        (13, 11, 18),
        (11, 13, 12),
];

/// Polyhedron vertices for "gray" - 485 CAUS samples, 39 vertices.
pub const POLYHEDRON_GRAY_VERTICES: [(f64, f64, f64); 39] = [
        (1.04, 0.02, 2.68),
        (2.44, 0.49, 4.78),
        (2.05, 0.57, 4.29),
        (0.99, 0.47, 2.80),
        (0.54, 0.27, 2.09),
        (2.04, 1.37, 5.78),
        (1.02, 0.76, 3.12),
        (1.63, 1.39, 7.11),
        (1.81, 1.67, 6.08),
        (0.87, 2.49, 5.38),
        (0.50, 1.86, 8.52),
        (0.72, 3.13, 7.32),
        (0.08, 1.00, 2.26),
        (-0.09, 0.54, 8.52),
        (-0.58, 1.58, 7.11),
        (-0.57, 1.31, 4.03),
        (-0.38, 0.66, 8.36),
        (-0.10, 0.17, 8.46),
        (-0.38, 0.62, 8.36),
        (-0.78, 0.86, 4.21),
        (-0.94, 0.94, 5.39),
        (-0.86, -0.93, 7.07),
        (-0.75, -0.95, 3.77),
        (-0.48, -1.20, 7.75),
        (-1.14, -3.01, 5.49),
        (-0.34, -0.95, 2.65),
        (-0.11, -0.75, 2.10),
        (-0.07, -0.64, 8.01),
        (-0.11, -3.85, 5.21),
        (-0.02, -2.29, 6.69),
        (0.03, -2.22, 3.17),
        (0.39, -3.08, 3.77),
        (0.66, -3.99, 4.77),
        (0.49, -2.76, 6.16),
        (0.86, -2.56, 3.10),
        (1.08, -2.89, 3.47),
        (0.18, -0.45, 1.99),
        (2.12, -1.98, 4.46),
        (2.31, -0.78, 5.27),
];

/// Polyhedron faces for "gray" - 74 triangular faces.
pub const POLYHEDRON_GRAY_FACES: [(usize, usize, usize); 74] = [
        (20, 21, 24),
        (12, 9, 11),
        (34, 32, 35),
        (7, 5, 1),
        (5, 9, 1),
        (9, 5, 11),
        (7, 10, 11),
        (10, 7, 17),
        (21, 23, 24),
        (32, 37, 35),
        (0, 37, 1),
        (37, 34, 35),
        (34, 37, 0),
        (14, 21, 20),
        (10, 14, 11),
        (14, 10, 16),
        (12, 26, 36),
        (26, 34, 36),
        (34, 26, 30),
        (30, 26, 24),
        (19, 20, 24),
        (22, 19, 24),
        (19, 26, 12),
        (4, 12, 36),
        (34, 4, 36),
        (4, 34, 0),
        (4, 0, 1),
        (12, 6, 9),
        (31, 34, 30),
        (34, 31, 32),
        (8, 7, 11),
        (5, 8, 11),
        (8, 5, 7),
        (13, 10, 17),
        (10, 13, 16),
        (23, 28, 24),
        (31, 28, 32),
        (28, 30, 24),
        (28, 31, 30),
        (33, 37, 32),
        (28, 33, 32),
        (18, 23, 21),
        (14, 18, 21),
        (18, 14, 16),
        (23, 18, 17),
        (18, 13, 17),
        (13, 18, 16),
        (38, 7, 1),
        (37, 38, 1),
        (33, 38, 37),
        (7, 38, 17),
        (25, 22, 24),
        (26, 25, 24),
        (25, 19, 22),
        (19, 25, 26),
        (15, 12, 11),
        (15, 19, 12),
        (19, 15, 20),
        (14, 15, 11),
        (15, 14, 20),
        (9, 2, 1),
        (6, 2, 9),
        (4, 3, 12),
        (3, 6, 12),
        (3, 2, 6),
        (3, 4, 1),
        (2, 3, 1),
        (27, 23, 17),
        (27, 33, 23),
        (38, 27, 17),
        (27, 38, 33),
        (29, 28, 23),
        (33, 29, 23),
        (29, 33, 28),
];

/// Polyhedron vertices for "green" - 1296 CAUS samples, 66 vertices.
pub const POLYHEDRON_GREEN_VERTICES: [(f64, f64, f64); 66] = [
        (0.28, 1.10, 2.41),
        (1.00, 4.03, 6.28),
        (0.85, 3.69, 3.81),
        (0.07, 0.55, 4.50),
        (0.17, 1.32, 6.94),
        (0.18, 1.40, 2.16),
        (0.66, 5.48, 5.75),
        (0.45, 4.89, 4.24),
        (0.36, 6.28, 5.45),
        (0.02, 0.43, 3.43),
        (0.13, 6.10, 4.85),
        (-0.02, 6.57, 5.90),
        (-0.06, 5.36, 7.65),
        (-0.07, 2.10, 8.59),
        (-0.29, 4.42, 8.21),
        (-0.90, 7.78, 5.93),
        (-0.78, 6.39, 4.63),
        (-1.63, 7.94, 6.40),
        (-0.58, 2.52, 2.09),
        (-2.43, 7.02, 8.44),
        (-0.12, 0.21, 2.30),
        (-0.49, 0.78, 8.14),
        (-5.70, 7.19, 7.89),
        (-6.15, 7.63, 6.36),
        (-3.52, 4.27, 8.82),
        (-5.56, 6.45, 8.01),
        (-1.33, 1.27, 8.58),
        (-6.72, 6.18, 7.71),
        (-7.95, 6.74, 6.59),
        (-8.39, 7.02, 4.91),
        (-8.14, 6.44, 7.03),
        (-8.92, 5.91, 6.93),
        (-1.15, 0.76, 8.46),
        (-0.68, 0.39, 1.43),
        (-6.67, 3.65, 2.78),
        (-8.86, 4.07, 3.39),
        (-10.01, 4.36, 5.99),
        (-6.33, 2.56, 2.63),
        (-9.19, 3.56, 3.40),
        (-4.33, 1.64, 2.10),
        (-7.30, 2.19, 7.84),
        (-9.00, 0.34, 3.93),
        (-1.06, 0.03, 1.34),
        (-6.01, -0.25, 7.50),
        (-0.78, -0.06, 1.35),
        (-9.03, -0.73, 4.66),
        (-7.72, -1.15, 3.24),
        (-3.04, -0.52, 1.87),
        (-4.84, -0.97, 7.56),
        (-8.24, -1.73, 5.90),
        (-4.37, -1.24, 7.32),
        (-6.41, -2.06, 3.07),
        (-7.59, -3.00, 4.12),
        (-7.19, -3.02, 5.81),
        (-1.80, -0.96, 1.61),
        (-2.28, -1.43, 6.64),
        (-6.02, -3.83, 4.73),
        (-5.65, -3.75, 5.05),
        (-5.79, -3.98, 4.04),
        (-0.75, -0.70, 1.58),
        (-4.13, -3.90, 3.15),
        (-2.67, -2.57, 2.34),
        (-3.42, -3.93, 3.74),
        (-0.62, -0.79, 4.07),
        (-2.47, -3.38, 2.91),
        (-1.71, -2.52, 2.66),
];

/// Polyhedron faces for "green" - 128 triangular faces.
pub const POLYHEDRON_GREEN_FACES: [(usize, usize, usize); 128] = [
        (38, 29, 36),
        (41, 38, 36),
        (38, 41, 46),
        (41, 52, 46),
        (4, 13, 1),
        (18, 5, 2),
        (39, 38, 46),
        (34, 18, 29),
        (18, 34, 42),
        (34, 39, 42),
        (14, 13, 19),
        (13, 24, 19),
        (56, 57, 58),
        (57, 56, 53),
        (52, 56, 58),
        (56, 52, 53),
        (57, 62, 58),
        (23, 28, 29),
        (13, 21, 32),
        (21, 13, 4),
        (51, 54, 46),
        (52, 51, 46),
        (5, 0, 2),
        (2, 0, 1),
        (59, 0, 5),
        (10, 8, 15),
        (38, 35, 29),
        (35, 34, 29),
        (34, 35, 38),
        (39, 37, 38),
        (37, 34, 38),
        (34, 37, 39),
        (12, 19, 15),
        (12, 14, 19),
        (13, 12, 1),
        (14, 12, 13),
        (43, 48, 53),
        (48, 43, 40),
        (50, 57, 53),
        (48, 50, 53),
        (50, 48, 32),
        (24, 26, 40),
        (48, 26, 32),
        (26, 48, 40),
        (26, 13, 32),
        (26, 24, 13),
        (24, 22, 19),
        (23, 22, 28),
        (62, 60, 58),
        (60, 52, 58),
        (60, 51, 52),
        (21, 55, 32),
        (55, 21, 62),
        (55, 62, 57),
        (55, 50, 32),
        (50, 55, 57),
        (33, 18, 42),
        (18, 33, 5),
        (54, 44, 42),
        (59, 44, 54),
        (44, 33, 42),
        (44, 59, 5),
        (33, 44, 5),
        (0, 20, 9),
        (20, 0, 59),
        (65, 20, 59),
        (16, 10, 15),
        (10, 16, 18),
        (29, 16, 15),
        (18, 16, 29),
        (7, 18, 2),
        (7, 10, 18),
        (8, 7, 2),
        (10, 7, 8),
        (47, 39, 46),
        (54, 47, 46),
        (39, 47, 42),
        (47, 54, 42),
        (8, 11, 15),
        (11, 12, 15),
        (12, 11, 8),
        (12, 6, 1),
        (6, 12, 8),
        (6, 2, 1),
        (6, 8, 2),
        (27, 24, 40),
        (17, 22, 23),
        (17, 29, 15),
        (17, 23, 29),
        (19, 17, 15),
        (22, 17, 19),
        (63, 21, 4),
        (20, 63, 9),
        (63, 20, 65),
        (21, 64, 62),
        (64, 60, 62),
        (63, 64, 21),
        (64, 63, 65),
        (64, 65, 59),
        (51, 61, 54),
        (60, 61, 51),
        (64, 61, 60),
        (61, 59, 54),
        (61, 64, 59),
        (45, 52, 41),
        (45, 41, 36),
        (25, 22, 24),
        (27, 25, 24),
        (25, 27, 22),
        (31, 40, 36),
        (31, 27, 40),
        (29, 31, 36),
        (28, 31, 29),
        (27, 31, 22),
        (3, 63, 4),
        (63, 3, 9),
        (3, 0, 9),
        (3, 4, 1),
        (0, 3, 1),
        (52, 49, 53),
        (45, 49, 52),
        (49, 45, 36),
        (49, 43, 53),
        (43, 49, 40),
        (40, 49, 36),
        (22, 30, 28),
        (30, 31, 28),
        (31, 30, 22),
];

/// Polyhedron vertices for "orange" - 378 CAUS samples, 46 vertices.
pub const POLYHEDRON_ORANGE_VERTICES: [(f64, f64, f64); 46] = [
        (9.47, 3.34, 3.52),
        (12.39, 4.39, 4.51),
        (12.21, 4.75, 5.42),
        (12.71, 5.09, 4.97),
        (9.41, 3.99, 5.44),
        (8.20, 3.55, 5.21),
        (2.81, 1.52, 2.52),
        (11.08, 6.16, 4.12),
        (8.53, 4.78, 6.77),
        (12.70, 7.37, 4.72),
        (12.68, 7.44, 5.28),
        (11.54, 7.30, 6.20),
        (10.45, 6.92, 6.63),
        (9.16, 6.07, 3.60),
        (12.44, 8.49, 5.90),
        (4.03, 2.88, 2.49),
        (12.33, 8.87, 5.80),
        (12.26, 8.97, 5.76),
        (4.88, 3.59, 6.97),
        (7.81, 5.88, 3.57),
        (9.71, 7.51, 6.85),
        (6.70, 5.41, 7.41),
        (11.36, 9.48, 5.28),
        (10.08, 8.75, 4.81),
        (10.11, 10.26, 6.41),
        (8.92, 9.07, 7.02),
        (10.02, 10.36, 5.96),
        (8.38, 10.51, 7.12),
        (7.20, 10.50, 5.49),
        (2.70, 4.40, 8.13),
        (3.58, 5.94, 4.34),
        (6.03, 10.92, 7.53),
        (6.44, 11.70, 7.35),
        (3.67, 6.90, 8.01),
        (5.65, 12.16, 7.17),
        (4.93, 11.22, 6.83),
        (4.85, 11.23, 6.88),
        (4.51, 10.80, 7.59),
        (2.88, 8.50, 6.34),
        (2.28, 6.83, 8.22),
        (3.00, 10.24, 7.51),
        (1.87, 6.76, 8.14),
        (1.57, 8.05, 6.97),
        (1.17, 6.35, 7.74),
        (1.12, 7.01, 7.03),
        (0.57, 3.84, 8.17),
];

/// Polyhedron faces for "orange" - 88 triangular faces.
pub const POLYHEDRON_ORANGE_FACES: [(usize, usize, usize); 88] = [
        (18, 6, 45),
        (6, 44, 45),
        (42, 44, 6),
        (30, 42, 6),
        (40, 43, 42),
        (43, 44, 42),
        (44, 43, 45),
        (15, 30, 6),
        (40, 36, 34),
        (18, 5, 6),
        (2, 8, 12),
        (11, 2, 12),
        (1, 2, 3),
        (8, 2, 18),
        (5, 2, 1),
        (29, 18, 45),
        (29, 8, 18),
        (39, 29, 45),
        (39, 41, 40),
        (41, 43, 40),
        (41, 39, 45),
        (43, 41, 45),
        (36, 35, 34),
        (35, 36, 30),
        (30, 38, 42),
        (36, 38, 30),
        (38, 40, 42),
        (38, 36, 40),
        (37, 40, 34),
        (37, 39, 40),
        (37, 31, 39),
        (22, 23, 13),
        (9, 22, 13),
        (9, 1, 3),
        (5, 0, 6),
        (0, 5, 1),
        (0, 15, 6),
        (15, 0, 13),
        (4, 5, 18),
        (2, 4, 18),
        (4, 2, 5),
        (8, 21, 12),
        (29, 21, 8),
        (14, 11, 12),
        (14, 2, 11),
        (2, 14, 3),
        (9, 14, 16),
        (23, 28, 13),
        (35, 28, 34),
        (28, 23, 22),
        (15, 28, 30),
        (28, 35, 30),
        (28, 26, 34),
        (26, 28, 22),
        (14, 24, 16),
        (24, 14, 27),
        (26, 24, 34),
        (17, 9, 16),
        (9, 17, 22),
        (17, 26, 22),
        (24, 17, 16),
        (17, 24, 26),
        (7, 9, 13),
        (0, 7, 13),
        (9, 7, 1),
        (7, 0, 1),
        (21, 20, 12),
        (20, 14, 12),
        (14, 20, 27),
        (31, 33, 39),
        (27, 33, 31),
        (33, 29, 39),
        (33, 21, 29),
        (10, 9, 3),
        (14, 10, 3),
        (10, 14, 9),
        (19, 15, 13),
        (28, 19, 13),
        (19, 28, 15),
        (24, 32, 34),
        (32, 24, 27),
        (32, 27, 31),
        (32, 37, 34),
        (37, 32, 31),
        (25, 20, 21),
        (33, 25, 21),
        (20, 25, 27),
        (25, 33, 27),
];

/// Polyhedron vertices for "pink" - 594 CAUS samples, 55 vertices.
pub const POLYHEDRON_PINK_VERTICES: [(f64, f64, f64); 55] = [
        (13.50, 0.29, 3.80),
        (14.17, 1.67, 5.07),
        (6.94, 0.92, 3.19),
        (3.60, 0.52, 8.81),
        (13.66, 2.39, 4.65),
        (4.91, 1.11, 3.73),
        (5.61, 1.42, 8.36),
        (11.44, 3.16, 6.19),
        (4.36, 1.30, 4.02),
        (5.79, 1.80, 8.28),
        (12.78, 4.04, 5.55),
        (12.37, 4.24, 5.57),
        (12.04, 4.85, 3.51),
        (3.65, 1.60, 4.49),
        (7.80, 5.17, 6.90),
        (3.37, 2.28, 4.96),
        (7.73, 5.49, 6.25),
        (2.03, 1.91, 8.82),
        (3.62, 3.49, 5.67),
        (1.73, 2.48, 8.74),
        (0.82, 1.22, 6.42),
        (2.11, 3.26, 8.43),
        (2.37, 3.76, 7.72),
        (0.97, 1.96, 6.18),
        (1.81, 3.78, 6.67),
        (1.40, 3.35, 7.99),
        (1.15, 3.14, 8.34),
        (0.56, 1.65, 7.96),
        (0.64, 1.97, 8.74),
        (0.42, 2.16, 8.52),
        (7.62, -5.03, 6.06),
        (6.74, -4.12, 4.79),
        (8.04, -4.57, 4.19),
        (2.26, -1.27, 6.79),
        (7.09, -3.88, 6.90),
        (2.82, -1.41, 7.90),
        (10.86, -4.74, 6.06),
        (10.61, -4.12, 4.26),
        (7.67, -2.91, 3.81),
        (12.24, -4.53, 4.83),
        (12.64, -4.42, 6.00),
        (5.27, -1.74, 8.08),
        (11.76, -2.54, 3.71),
        (5.62, -1.16, 3.95),
        (13.81, -2.53, 6.21),
        (6.12, -1.10, 8.37),
        (13.84, -2.44, 4.00),
        (4.34, -0.76, 8.41),
        (9.13, -0.83, 7.68),
        (14.52, -1.21, 4.58),
        (13.32, -0.93, 3.74),
        (15.07, -0.88, 5.46),
        (3.41, -0.15, 4.69),
        (14.37, -0.55, 4.15),
        (14.71, -0.13, 5.74),
];

/// Polyhedron faces for "pink" - 106 triangular faces.
pub const POLYHEDRON_PINK_FACES: [(usize, usize, usize); 106] = [
        (46, 40, 51),
        (0, 53, 12),
        (16, 24, 12),
        (23, 24, 29),
        (23, 15, 24),
        (40, 44, 51),
        (44, 40, 45),
        (32, 43, 52),
        (33, 35, 30),
        (39, 32, 30),
        (39, 40, 46),
        (49, 46, 51),
        (53, 49, 51),
        (49, 53, 46),
        (53, 50, 46),
        (0, 50, 53),
        (50, 42, 46),
        (50, 0, 12),
        (50, 12, 2),
        (42, 50, 2),
        (1, 10, 12),
        (1, 53, 51),
        (23, 13, 15),
        (24, 18, 12),
        (18, 15, 12),
        (15, 18, 24),
        (24, 26, 29),
        (26, 28, 29),
        (11, 10, 14),
        (16, 11, 14),
        (10, 11, 12),
        (11, 16, 12),
        (34, 41, 45),
        (35, 34, 30),
        (41, 34, 35),
        (43, 38, 2),
        (38, 43, 32),
        (38, 42, 2),
        (42, 38, 32),
        (31, 32, 52),
        (33, 31, 52),
        (32, 31, 30),
        (31, 33, 30),
        (23, 20, 52),
        (20, 33, 52),
        (20, 23, 29),
        (42, 37, 46),
        (37, 39, 46),
        (37, 42, 32),
        (39, 37, 32),
        (53, 4, 12),
        (4, 1, 12),
        (1, 4, 53),
        (9, 3, 17),
        (3, 28, 17),
        (28, 3, 35),
        (3, 6, 45),
        (6, 3, 9),
        (44, 54, 51),
        (54, 1, 51),
        (1, 54, 10),
        (19, 9, 17),
        (28, 19, 17),
        (19, 21, 14),
        (9, 19, 14),
        (19, 26, 21),
        (26, 19, 28),
        (5, 43, 2),
        (43, 5, 52),
        (12, 5, 2),
        (16, 22, 24),
        (22, 16, 14),
        (21, 22, 14),
        (26, 22, 21),
        (34, 36, 30),
        (36, 39, 30),
        (39, 36, 40),
        (40, 36, 45),
        (36, 34, 45),
        (27, 20, 29),
        (20, 27, 33),
        (28, 27, 29),
        (33, 27, 35),
        (27, 28, 35),
        (41, 47, 45),
        (47, 3, 45),
        (47, 41, 35),
        (3, 47, 35),
        (54, 7, 10),
        (7, 54, 9),
        (10, 7, 14),
        (7, 9, 14),
        (48, 54, 44),
        (54, 48, 9),
        (48, 6, 9),
        (48, 44, 45),
        (6, 48, 45),
        (5, 8, 52),
        (8, 23, 52),
        (8, 13, 23),
        (13, 8, 15),
        (15, 8, 12),
        (8, 5, 12),
        (25, 26, 24),
        (22, 25, 24),
        (25, 22, 26),
];

/// Polyhedron vertices for "purple" - 226 CAUS samples, 45 vertices.
pub const POLYHEDRON_PURPLE_VERTICES: [(f64, f64, f64); 45] = [
        (2.65, 0.26, 1.89),
        (3.88, 0.59, 2.95),
        (1.20, -7.76, 3.14),
        (1.16, -7.24, 2.75),
        (1.38, -8.41, 3.46),
        (1.05, -6.38, 2.50),
        (0.96, -5.54, 3.17),
        (1.14, -5.72, 4.00),
        (0.74, -3.05, 3.58),
        (2.25, -8.95, 2.91),
        (1.44, -5.30, 4.45),
        (1.09, -3.84, 1.89),
        (2.16, -6.74, 1.88),
        (2.63, -8.17, 4.34),
        (1.87, -5.71, 1.70),
        (0.86, -2.56, 3.10),
        (1.60, -4.67, 4.79),
        (2.40, -6.53, 1.72),
        (3.57, -9.50, 2.78),
        (3.45, -8.83, 2.32),
        (3.88, -9.57, 2.51),
        (3.44, -7.84, 1.98),
        (4.38, -8.79, 2.39),
        (5.17, -9.69, 3.08),
        (4.55, -7.96, 4.49),
        (4.42, -6.81, 2.00),
        (3.45, -5.30, 1.70),
        (6.54, -8.18, 2.93),
        (7.33, -8.08, 3.18),
        (1.27, -1.37, 2.04),
        (3.50, -3.75, 6.42),
        (6.84, -7.24, 4.60),
        (6.57, -6.09, 2.30),
        (8.07, -7.46, 4.06),
        (1.34, -1.20, 1.79),
        (1.66, -1.36, 1.48),
        (1.42, -1.16, 1.50),
        (5.55, -4.36, 6.58),
        (9.24, -6.82, 4.02),
        (2.21, -1.58, 3.75),
        (7.48, -4.71, 2.29),
        (8.09, -4.17, 2.60),
        (9.55, -4.78, 3.28),
        (5.00, -1.46, 2.00),
        (3.78, -0.14, 1.81),
];

/// Polyhedron faces for "purple" - 86 triangular faces.
pub const POLYHEDRON_PURPLE_FACES: [(usize, usize, usize); 86] = [
        (38, 37, 42),
        (28, 38, 42),
        (38, 28, 23),
        (40, 28, 42),
        (38, 31, 37),
        (30, 16, 8),
        (13, 30, 37),
        (16, 30, 4),
        (30, 13, 4),
        (37, 1, 42),
        (30, 1, 37),
        (41, 40, 42),
        (41, 43, 40),
        (16, 7, 8),
        (18, 13, 23),
        (13, 18, 4),
        (33, 38, 23),
        (31, 33, 23),
        (33, 31, 38),
        (24, 13, 37),
        (31, 24, 37),
        (13, 24, 23),
        (24, 31, 23),
        (29, 34, 0),
        (34, 36, 0),
        (39, 30, 8),
        (39, 1, 30),
        (1, 39, 0),
        (44, 1, 0),
        (1, 44, 42),
        (44, 36, 35),
        (36, 44, 0),
        (40, 44, 35),
        (43, 44, 40),
        (44, 41, 42),
        (44, 43, 41),
        (10, 16, 4),
        (7, 10, 4),
        (10, 7, 16),
        (26, 40, 35),
        (17, 26, 35),
        (6, 5, 8),
        (18, 9, 4),
        (14, 17, 35),
        (36, 14, 35),
        (29, 15, 34),
        (15, 29, 0),
        (15, 39, 8),
        (39, 15, 0),
        (21, 26, 17),
        (32, 28, 40),
        (32, 27, 28),
        (9, 3, 4),
        (11, 14, 36),
        (14, 11, 5),
        (11, 36, 34),
        (15, 11, 34),
        (5, 11, 8),
        (11, 15, 8),
        (26, 25, 40),
        (21, 25, 26),
        (25, 32, 40),
        (32, 25, 21),
        (19, 21, 17),
        (32, 22, 27),
        (22, 32, 21),
        (3, 2, 4),
        (2, 7, 4),
        (2, 5, 6),
        (2, 3, 5),
        (7, 2, 8),
        (2, 6, 8),
        (12, 14, 5),
        (3, 12, 5),
        (14, 12, 17),
        (12, 3, 9),
        (12, 19, 17),
        (19, 12, 9),
        (19, 20, 21),
        (20, 22, 21),
        (20, 9, 18),
        (20, 19, 9),
        (20, 18, 23),
        (28, 20, 23),
        (27, 20, 28),
        (22, 20, 27),
];

/// Polyhedron vertices for "red" - 662 CAUS samples, 39 vertices.
pub const POLYHEDRON_RED_VERTICES: [(f64, f64, f64); 39] = [
        (12.38, 0.37, 3.33),
        (8.94, 0.66, 5.07),
        (14.76, 2.53, 4.21),
        (7.95, 1.69, 5.38),
        (4.64, 1.06, 1.44),
        (12.67, 2.91, 3.45),
        (12.70, 3.74, 5.54),
        (14.72, 4.40, 4.79),
        (6.11, 1.89, 5.36),
        (9.90, 3.44, 2.53),
        (10.74, 3.86, 5.93),
        (7.87, 2.87, 5.73),
        (2.05, 0.78, 1.41),
        (14.42, 5.74, 4.95),
        (2.44, 1.07, 3.64),
        (13.97, 6.13, 3.92),
        (14.05, 6.31, 4.24),
        (13.14, 6.45, 5.16),
        (2.49, 1.26, 1.37),
        (13.63, 6.93, 4.43),
        (12.31, 6.33, 3.42),
        (7.82, 4.11, 5.75),
        (2.05, 1.09, 3.15),
        (13.05, 7.23, 4.76),
        (11.16, 6.94, 3.74),
        (11.45, 7.31, 4.45),
        (6.88, 4.40, 2.16),
        (10.65, 6.97, 5.07),
        (7.49, 5.51, 4.27),
        (4.77, 3.91, 2.40),
        (5.35, 4.42, 5.32),
        (3.64, 3.14, 3.20),
        (7.46, -3.33, 2.91),
        (5.76, -1.12, 1.99),
        (3.82, -0.62, 3.85),
        (4.10, -0.44, 1.72),
        (12.95, -1.36, 4.27),
        (13.43, -1.23, 4.25),
        (11.70, -0.32, 3.18),
];

/// Polyhedron faces for "red" - 74 triangular faces.
pub const POLYHEDRON_RED_FACES: [(usize, usize, usize); 74] = [
        (37, 38, 32),
        (8, 14, 30),
        (0, 37, 2),
        (37, 0, 38),
        (6, 37, 10),
        (29, 24, 25),
        (19, 24, 20),
        (31, 29, 30),
        (21, 27, 10),
        (27, 21, 30),
        (27, 17, 10),
        (17, 6, 10),
        (6, 17, 13),
        (29, 28, 30),
        (28, 27, 30),
        (28, 29, 25),
        (27, 28, 25),
        (31, 22, 12),
        (14, 22, 30),
        (22, 31, 30),
        (34, 8, 32),
        (8, 34, 14),
        (34, 22, 14),
        (34, 32, 12),
        (22, 34, 12),
        (15, 19, 20),
        (15, 0, 2),
        (38, 33, 32),
        (4, 33, 38),
        (24, 26, 20),
        (26, 24, 29),
        (26, 9, 20),
        (9, 26, 4),
        (9, 15, 20),
        (9, 4, 38),
        (0, 9, 38),
        (7, 6, 13),
        (7, 15, 2),
        (37, 7, 2),
        (6, 7, 37),
        (11, 8, 30),
        (21, 11, 30),
        (11, 21, 10),
        (11, 3, 8),
        (23, 17, 27),
        (23, 27, 25),
        (23, 19, 13),
        (17, 23, 13),
        (24, 23, 25),
        (23, 24, 19),
        (8, 1, 32),
        (3, 1, 8),
        (1, 11, 10),
        (11, 1, 3),
        (19, 16, 13),
        (15, 16, 19),
        (16, 7, 13),
        (7, 16, 15),
        (35, 4, 12),
        (35, 33, 4),
        (32, 35, 12),
        (33, 35, 32),
        (4, 18, 12),
        (26, 18, 4),
        (18, 26, 29),
        (18, 31, 12),
        (31, 18, 29),
        (15, 5, 0),
        (5, 9, 0),
        (9, 5, 15),
        (36, 37, 32),
        (1, 36, 32),
        (37, 36, 10),
        (36, 1, 10),
];

/// Polyhedron vertices for "white" - 152 CAUS samples, 24 vertices.
pub const POLYHEDRON_WHITE_VERTICES: [(f64, f64, f64); 24] = [
        (1.79, 1.63, 8.34),
        (1.00, 1.75, 9.18),
        (0.63, 1.42, 6.81),
        (1.07, 3.12, 8.22),
        (0.84, 3.11, 6.89),
        (0.38, 1.89, 6.03),
        (0.12, 0.71, 9.21),
        (0.21, 1.32, 9.33),
        (0.59, 3.77, 6.70),
        (0.14, 0.98, 6.87),
        (0.35, 3.69, 8.55),
        (0.20, 2.12, 9.18),
        (0.19, 2.77, 9.03),
        (-0.06, 1.43, 9.35),
        (-0.12, 1.01, 9.30),
        (-0.31, 2.22, 7.63),
        (-0.60, 3.11, 8.91),
        (-0.15, 0.43, 7.77),
        (-0.28, 0.67, 8.94),
        (-0.21, 0.40, 9.12),
        (-0.09, 0.13, 9.04),
        (-0.47, 0.57, 7.33),
        (-0.15, 0.11, 8.63),
        (0.00, 0.00, 9.02),
];

/// Polyhedron faces for "white" - 44 triangular faces.
pub const POLYHEDRON_WHITE_FACES: [(usize, usize, usize); 44] = [
        (23, 1, 0),
        (4, 5, 0),
        (8, 4, 0),
        (4, 8, 5),
        (18, 21, 16),
        (21, 15, 16),
        (15, 21, 5),
        (15, 8, 16),
        (8, 15, 5),
        (9, 23, 0),
        (21, 9, 5),
        (13, 11, 1),
        (7, 13, 1),
        (11, 12, 1),
        (12, 13, 16),
        (12, 11, 13),
        (1, 3, 0),
        (3, 8, 0),
        (19, 18, 16),
        (18, 19, 21),
        (19, 22, 21),
        (5, 2, 0),
        (2, 9, 0),
        (9, 2, 5),
        (6, 1, 23),
        (6, 7, 1),
        (10, 3, 1),
        (12, 10, 1),
        (10, 12, 16),
        (3, 10, 8),
        (8, 10, 16),
        (17, 9, 21),
        (22, 17, 21),
        (9, 17, 23),
        (17, 22, 23),
        (22, 20, 23),
        (20, 19, 23),
        (19, 20, 22),
        (7, 14, 13),
        (6, 14, 7),
        (19, 14, 23),
        (14, 6, 23),
        (13, 14, 16),
        (14, 19, 16),
];

/// Polyhedron vertices for "yellow" - 394 CAUS samples, 35 vertices.
pub const POLYHEDRON_YELLOW_VERTICES: [(f64, f64, f64); 35] = [
        (6.40, 8.50, 6.62),
        (4.95, 9.02, 7.57),
        (5.84, 11.75, 7.06),
        (4.19, 8.71, 5.97),
        (1.64, 3.73, 7.60),
        (1.25, 3.29, 7.96),
        (3.81, 12.37, 7.77),
        (3.45, 12.82, 7.16),
        (1.21, 5.32, 8.83),
        (2.23, 11.60, 8.41),
        (1.19, 7.33, 5.43),
        (0.83, 5.24, 4.84),
        (1.24, 8.37, 5.74),
        (0.98, 8.33, 8.94),
        (0.46, 4.21, 5.73),
        (0.94, 13.52, 8.32),
        (0.12, 2.53, 8.68),
        (0.42, 12.02, 8.67),
        (0.16, 7.75, 5.87),
        (0.03, 4.95, 9.28),
        (0.04, 9.66, 8.88),
        (-0.61, 12.10, 7.79),
        (-0.19, 3.88, 9.21),
        (-1.14, 11.75, 8.05),
        (-0.39, 3.56, 9.06),
        (-1.51, 10.65, 8.81),
        (-1.02, 5.25, 9.05),
        (-1.69, 8.64, 8.93),
        (-1.90, 9.61, 8.85),
        (-1.98, 8.23, 7.19),
        (-2.91, 9.73, 8.63),
        (-2.97, 9.38, 8.46),
        (-1.16, 3.50, 8.26),
        (-1.98, 5.04, 8.71),
        (-2.15, 5.25, 7.92),
];

/// Polyhedron faces for "yellow" - 66 triangular faces.
pub const POLYHEDRON_YELLOW_FACES: [(usize, usize, usize); 66] = [
        (3, 11, 0),
        (34, 14, 11),
        (11, 14, 0),
        (14, 4, 0),
        (34, 29, 31),
        (29, 34, 11),
        (10, 12, 11),
        (3, 10, 11),
        (10, 7, 12),
        (7, 10, 3),
        (14, 32, 16),
        (32, 14, 34),
        (32, 24, 16),
        (5, 14, 16),
        (14, 5, 4),
        (5, 16, 0),
        (4, 5, 0),
        (12, 18, 11),
        (18, 29, 11),
        (1, 13, 9),
        (13, 1, 19),
        (16, 8, 0),
        (8, 1, 0),
        (1, 8, 19),
        (27, 25, 19),
        (33, 34, 31),
        (33, 32, 34),
        (32, 33, 24),
        (15, 6, 9),
        (18, 21, 29),
        (21, 18, 12),
        (7, 21, 12),
        (21, 7, 15),
        (30, 33, 31),
        (25, 30, 15),
        (17, 25, 15),
        (17, 15, 9),
        (13, 17, 9),
        (17, 13, 19),
        (30, 26, 33),
        (26, 27, 19),
        (26, 30, 27),
        (2, 1, 9),
        (6, 2, 9),
        (1, 2, 0),
        (2, 3, 0),
        (2, 7, 3),
        (7, 2, 15),
        (2, 6, 15),
        (28, 25, 27),
        (30, 28, 27),
        (28, 30, 25),
        (23, 21, 15),
        (30, 23, 15),
        (23, 30, 31),
        (29, 23, 31),
        (21, 23, 29),
        (25, 20, 19),
        (20, 17, 19),
        (17, 20, 25),
        (33, 22, 24),
        (26, 22, 33),
        (22, 26, 19),
        (24, 22, 16),
        (22, 8, 16),
        (8, 22, 19),
];


// ============================================================================
// Sample Counts from Centore (2020) Table 1
// ============================================================================

/// CAUS sample counts for each color name from Centore (2020).
/// Higher counts indicate more agreement on the color name boundaries.
pub const CENTORE_SAMPLE_COUNTS: [(&str, u32); 30] = [
    ("aqua", 119),
    ("beige", 277),
    ("coral", 215),
    ("fuchsia", 46),
    ("gold", 362),
    ("lavender", 47),
    ("lilac", 78),
    ("magenta", 25),
    ("mauve", 181),
    ("navy", 100),
    ("peach", 102),
    ("rose", 467),
    ("rust", 93),
    ("sand", 123),
    ("tan", 129),
    ("taupe", 76),
    ("teal", 43),
    ("turquoise", 121),
    ("violet", 178),
    ("wine", 83),
    ("blue", 1673),
    ("brown", 536),
    ("gray", 485),
    ("green", 1296),
    ("orange", 378),
    ("pink", 594),
    ("purple", 226),
    ("red", 662),
    ("white", 152),
    ("yellow", 394),
];

/// Get the sample count for a color name.
pub fn get_sample_count(name: &str) -> u32 {
    CENTORE_SAMPLE_COUNTS
        .iter()
        .find(|(n, _)| n.eq_ignore_ascii_case(name))
        .map(|(_, count)| *count)
        .unwrap_or(0)
}

/// Get polyhedron data (vertices, faces) for a color name.
/// Returns None if the color name is not found.
pub fn get_polyhedron_data(name: &str) -> Option<(&'static [(f64, f64, f64)], &'static [(usize, usize, usize)])> {
    match name.to_lowercase().as_str() {
        "aqua" => Some((&POLYHEDRON_AQUA_VERTICES, &POLYHEDRON_AQUA_FACES)),
        "beige" => Some((&POLYHEDRON_BEIGE_VERTICES, &POLYHEDRON_BEIGE_FACES)),
        "coral" => Some((&POLYHEDRON_CORAL_VERTICES, &POLYHEDRON_CORAL_FACES)),
        "fuchsia" => Some((&POLYHEDRON_FUCHSIA_VERTICES, &POLYHEDRON_FUCHSIA_FACES)),
        "gold" => Some((&POLYHEDRON_GOLD_VERTICES, &POLYHEDRON_GOLD_FACES)),
        "lavender" => Some((&POLYHEDRON_LAVENDER_VERTICES, &POLYHEDRON_LAVENDER_FACES)),
        "lilac" => Some((&POLYHEDRON_LILAC_VERTICES, &POLYHEDRON_LILAC_FACES)),
        "magenta" => Some((&POLYHEDRON_MAGENTA_VERTICES, &POLYHEDRON_MAGENTA_FACES)),
        "mauve" => Some((&POLYHEDRON_MAUVE_VERTICES, &POLYHEDRON_MAUVE_FACES)),
        "navy" => Some((&POLYHEDRON_NAVY_VERTICES, &POLYHEDRON_NAVY_FACES)),
        "peach" => Some((&POLYHEDRON_PEACH_VERTICES, &POLYHEDRON_PEACH_FACES)),
        "rose" => Some((&POLYHEDRON_ROSE_VERTICES, &POLYHEDRON_ROSE_FACES)),
        "rust" => Some((&POLYHEDRON_RUST_VERTICES, &POLYHEDRON_RUST_FACES)),
        "sand" => Some((&POLYHEDRON_SAND_VERTICES, &POLYHEDRON_SAND_FACES)),
        "tan" => Some((&POLYHEDRON_TAN_VERTICES, &POLYHEDRON_TAN_FACES)),
        "taupe" => Some((&POLYHEDRON_TAUPE_VERTICES, &POLYHEDRON_TAUPE_FACES)),
        "teal" => Some((&POLYHEDRON_TEAL_VERTICES, &POLYHEDRON_TEAL_FACES)),
        "turquoise" => Some((&POLYHEDRON_TURQUOISE_VERTICES, &POLYHEDRON_TURQUOISE_FACES)),
        "violet" => Some((&POLYHEDRON_VIOLET_VERTICES, &POLYHEDRON_VIOLET_FACES)),
        "wine" => Some((&POLYHEDRON_WINE_VERTICES, &POLYHEDRON_WINE_FACES)),
        "blue" => Some((&POLYHEDRON_BLUE_VERTICES, &POLYHEDRON_BLUE_FACES)),
        "brown" => Some((&POLYHEDRON_BROWN_VERTICES, &POLYHEDRON_BROWN_FACES)),
        "gray" => Some((&POLYHEDRON_GRAY_VERTICES, &POLYHEDRON_GRAY_FACES)),
        "green" => Some((&POLYHEDRON_GREEN_VERTICES, &POLYHEDRON_GREEN_FACES)),
        "orange" => Some((&POLYHEDRON_ORANGE_VERTICES, &POLYHEDRON_ORANGE_FACES)),
        "pink" => Some((&POLYHEDRON_PINK_VERTICES, &POLYHEDRON_PINK_FACES)),
        "purple" => Some((&POLYHEDRON_PURPLE_VERTICES, &POLYHEDRON_PURPLE_FACES)),
        "red" => Some((&POLYHEDRON_RED_VERTICES, &POLYHEDRON_RED_FACES)),
        "white" => Some((&POLYHEDRON_WHITE_VERTICES, &POLYHEDRON_WHITE_FACES)),
        "yellow" => Some((&POLYHEDRON_YELLOW_VERTICES, &POLYHEDRON_YELLOW_FACES)),
        _ => None,
    }
}


#[cfg(test)]
mod tests {
    use super::*;

    #[test]
    fn test_all_polyhedra_have_data() {
        let names = [
            "aqua", "beige", "coral", "fuchsia", "gold", "lavender", "lilac",
            "magenta", "mauve", "navy", "peach", "rose", "rust", "sand", "tan",
            "taupe", "teal", "turquoise", "violet", "wine",
            "blue", "brown", "gray", "green", "orange", "pink", "purple", "red", "white", "yellow",
        ];

        for name in &names {
            let data = get_polyhedron_data(name);
            assert!(data.is_some(), "Missing polyhedron data for {}", name);
            let (vertices, faces) = data.unwrap();
            assert!(vertices.len() >= 4, "{} should have at least 4 vertices", name);
            assert!(!faces.is_empty(), "{} should have faces", name);
        }
    }

    #[test]
    fn test_sample_counts() {
        assert_eq!(get_sample_count("aqua"), 119);
        assert_eq!(get_sample_count("beige"), 277);
        assert_eq!(get_sample_count("rose"), 467);  // Highest
        assert_eq!(get_sample_count("magenta"), 25); // Lowest non-basic
        assert_eq!(get_sample_count("blue"), 1673);  // Highest basic
        assert_eq!(get_sample_count("invalid"), 0);
    }

    #[test]
    fn test_polyhedron_structure() {
        // Test specific polyhedra have expected structure
        let expected = [
            ("aqua", 28, 52),
            ("beige", 32, 60),
            ("magenta", 7, 10),
            ("rose", 51, 98),
        ];

        for (name, expected_verts, expected_faces) in &expected {
            let (verts, faces) = get_polyhedron_data(name).unwrap();
            assert_eq!(verts.len(), *expected_verts, "{} vertex count", name);
            assert_eq!(faces.len(), *expected_faces, "{} face count", name);
        }
    }

    #[test]
    fn test_case_insensitive_lookup() {
        assert!(get_polyhedron_data("AQUA").is_some());
        assert!(get_polyhedron_data("Aqua").is_some());
        assert!(get_polyhedron_data("aqua").is_some());
    }
}