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

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Strange Attractor Cover

Strange Attractors

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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

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

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.

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

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