Struct FractalGeometry 

pub struct FractalGeometry {
    pub points: Vec<[f64; 2]>,
}

Fractal geometry analysis: box-counting dimension and Hausdorff dimension estimation.

Fields

points: Vec<[f64; 2]>

Set of 2D points forming the fractal set

Implementations

impl FractalGeometry

pub fn new(points: Vec<[f64; 2]>) -> Self

Create a new FractalGeometry from a set of 2D points.

pub fn box_counting_dimension(&self, num_scales: usize) -> f64

Estimate fractal dimension via box-counting method.

Covers the point set with boxes of decreasing size and measures the scaling of the count N(ε) with box size ε. The slope of log(N) vs log(1/ε) gives the box-counting dimension.

pub fn hausdorff_dimension(&self) -> f64

Estimate Hausdorff dimension (approximated via box-counting on fine scale).

For self-similar fractals, the Hausdorff dimension equals the box-counting dimension. This method uses more scales for a more accurate estimate.

pub fn koch_snowflake(iterations: u32, num_points_per_segment: usize) -> Self

Generate Koch snowflake points up to a given iteration depth.

pub fn sierpinski_triangle(iterations: u32) -> Self

Generate Sierpinski triangle points up to a given iteration depth.

Trait Implementations

impl Clone for FractalGeometry

fn clone(&self) -> FractalGeometry

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for FractalGeometry

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

Formats the value using the given formatter.