alaingalvan/strange-attractors

⤴️ Algorithms to generate strange attractors such as Lorenz, Burgers, etc.

Strange Attractors

Algorithms to generate strange attractors. Use these algorithms to create Vertex Buffer Objects and Index Buffer Objects for your graphics API of choice.

Usage

Each attractor function returns an array of vertex points in the format [x1, y1, z1, x2, y2, z2, ...], from there you can use the included spline_mesh function to convert that data to a Vertex Buffer and Index Buffer:

from strange_attractors import burgers, spline_mesh

(triangles, vertices, normals) = spline_mesh(burgers(), 4, 0.05)

API

Attractors

Lorenz

from strange_attractors import lorenz

lorenz(num_points=15000, start=[0.10, 0.10, 0.10], factor=20, delta=0.008, a=0.1, b=4.0, c=14.0, d=0.08):

Arguments	Type	Description
num_points	long	Number of points
start	float[3]	Starting vector
factor	long	Scaling factor
delta	float	Change over time
a	float	A constant
b	float	B constant
c	float	C constant
d	float	D constant

Returns: float[3*num_points]

A twisting shape that looks almost like a tornado.

Burgers

from strange_attractors import burgers

burgers(num_points=10000, start=[0.5, 0.5, 0.5], factor=250, delta=0.1, a=0.7, b=0.78)

Arguments	Type	Description
num_points	long	Number of points
start	float[3]	Starting vector
factor	long	Scaling factor
delta	float	Change over time
a	float	A constant
b	float	B constant

Returns: float[3*num_points]

A round loopy shape, which looks a lot like a burger (hence the name).

Utilities

Spline Mesh

from strange_attractors import spline_mesh

spline_mesh(points=[], resolution=4, radius=0.1)

Arguments	Type	Description
points	float[3*N]	Input points
resolution	unsigned long	Resolution of spline rings
radius	float	Radius of spline

Returns: (long[3*N], float[3*N], float[3*N])

Generates a VBO/IBO for a given spline.