Struct TensorTile 

pub struct TensorTile {
    pub position: [f64; 2],
    pub orientation: f64,
    pub tile_type: TileType,
    pub source_coords: [i32; 5],
    pub tensor: Vec<f32>,
    pub tensor_shape: (usize, usize),
}

A tensor-valued Penrose tile — carries a 2D tensor field on each tile.

Fields

position: [f64; 2]

(x, y) position in the Penrose floor.

orientation: f64

Rotation in radians.

tile_type: TileType

Thick or Thin rhomb.

source_coords: [i32; 5]

5D lattice coordinates.

tensor: Vec<f32>

Flat tensor data (row-major).

tensor_shape: (usize, usize)

(rows, cols) — varies by tile type.

Implementations

impl TensorTile

pub fn new( source_coords: [i32; 5], tile_type: TileType, orientation: f64, position: [f64; 2], ) -> Self

Create a new tensor tile with the tensor initialized to zeros.

• Thick tiles get shape (5, 5) to match the 5D source.
• Thin tiles get shape (3, 8) so the proportion 8/3 ≈ φ.

pub fn fill_from_source(&mut self)

Fill the tensor using five orthogonal basis modes controlled by the five source coordinates.

coord	mode	description
a (0)	constant	base intensity
b (1)	linear gradient along rows
c (2)	sinusoidal along columns
d (3)	pseudo-random texture seed
e (4)	phase shift

pub fn apply_threshold(&mut self, threshold: f32)

Zero out tensor values below the given threshold.

pub fn tensor_at(&self, row: usize, col: usize) -> f32

Index into the flat tensor at (row, col).

pub fn l1_norm(&self) -> f32

L1 norm — sum of absolute values (constraint energy).

pub fn l2_norm(&self) -> f32

L2 norm — Euclidean norm (signal strength).

pub fn tensor_len(&self) -> usize

Number of elements in the tensor.

Trait Implementations

impl Clone for TensorTile

fn clone(&self) -> TensorTile

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for TensorTile

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.