Struct OrigamiAnalysis 

pub struct OrigamiAnalysis;

Analysis tools for folded origami surfaces.

Computes geometric properties such as Gaussian curvature (angle deficit at vertices) and the effective Poisson’s ratio of the tessellation.

Implementations

impl OrigamiAnalysis

pub fn angle_deficit(sector_angles: &[f64]) -> f64

Compute the angle deficit (discrete Gaussian curvature) at a vertex, given the sector angles (in radians) of the faces meeting at that vertex.

For a flat sheet the deficit is 0; a cone tip has a positive deficit.

pub fn kawasaki_residual(sector_angles: &[f64]) -> f64

Check Kawasaki’s theorem for a crease pattern at an interior vertex.

For flat-foldability the alternating sum of sector angles must equal π. Returns the residual (should be ≈ 0 for a flat-foldable vertex).

pub fn maekawa_valid(mountain_count: usize, valley_count: usize) -> bool

Check Maekawa’s theorem: at an interior vertex the number of mountain folds and valley folds must differ by exactly 2.

pub fn miura_poisson_ratio(alpha: f64, theta: f64) -> f64

Compute the effective in-plane Poisson’s ratio of a Miura-ori sheet.

Uses the analytical closed form for the Miura-ori.

pub fn fold_bending_energy(k: f64, length: f64, theta: f64) -> f64

Estimate the bending energy of a fold line given fold angle and panel stiffness.

k is the rotational stiffness per unit length (N·m/m), length is the crease length (m), theta is the fold angle (radians).

pub fn panel_gaussian_curvature( v0: &Vec3, v1: &Vec3, v2: &Vec3, v3: &Vec3, ) -> f64

Compute the Gaussian curvature of a parallelogram panel given its vertex positions.

For a flat (non-curved) panel, returns 0.

pub fn fold_angle_from_normals(n1: &Vec3, n2: &Vec3, crease_dir: &Vec3) -> f64

Compute the fold angle between two planar facets given their unit normals and the shared crease direction.

Trait Implementations

impl Clone for OrigamiAnalysis

fn clone(&self) -> OrigamiAnalysis

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for OrigamiAnalysis

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

Formats the value using the given formatter.