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OrigamiAnalysis

oxiphysics_geometry::origami

Struct OrigamiAnalysis 

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pub struct OrigamiAnalysis;
Expand description

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.

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impl OrigamiAnalysis

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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.

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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).

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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.

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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.

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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).

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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.

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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§

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impl Clone for OrigamiAnalysis

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fn clone(&self) -> OrigamiAnalysis

Returns a duplicate of the value. Read more
1.0.0 (const: unstable) · Source§

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

Performs copy-assignment from source. Read more
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impl Debug for OrigamiAnalysis

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

Formats the value using the given formatter. Read more

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🔬This is a nightly-only experimental API. (clone_to_uninit)
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