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MengerSponge

oxiphysics_geometry::fractal_geometry::types

Struct MengerSponge 

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pub struct MengerSponge;
Expand description

Menger sponge generator.

The Menger sponge is a 3D fractal formed by recursively removing the center and face-center sub-cubes from a cube. Its Hausdorff dimension is log(20)/log(3) ≈ 2.727.

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impl MengerSponge

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pub fn theoretical_dimension() -> f64

Theoretical Hausdorff dimension: log(20)/log(3).

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pub fn generate(level: usize, origin: Point3, size: f64) -> Vec<Aabb3>

Generate the Menger sponge as a list of cubes (AABBs) at the given recursion level.

level 0 returns a single unit cube, level 1 returns 20 sub-cubes, etc.

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pub fn cube_count(level: usize) -> usize

Number of cubes at a given level.

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pub fn total_volume(level: usize) -> f64

Total volume at a given level (unit cube start).

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