MathVisualization

Visualizing math concept with Unity

Url parameters

Usage:

https://uberyoji.github.io/MathVisualization/

Param	Type	Purpose
scene	string	Loads the specified scene.

Possible values for scenes

Value	Purpose
CellularAutomata	1d cellular automata
GameOfLife	2d cellular automata
GameOfLifeCube	3d cellular automata
Mandalas	Polygonal recursion fractal
Tree	L-system fractal
GoldenRatio	Ratio visualizer (broken for now as it only shows the golden ratio)
Fourier	Shows fourier transform (camera is a bit off in webgl. to fix.)

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CellularAutomata

Param that can be passed to the scene. Active cell at start is always the center one for now.

Param	Type	Purpose
size	int	Specifies the number of cells in 1d
rule	int	Specifies the rule to apply. See Wolfram (http://mathworld.wolfram.com/ElementaryCellularAutomaton.html)
freq	float	Specifies the refresh rate of generation.

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GameOfLife

Param that can be passed to the scene. Active cells at start are determined by seed value.

Param	Type	Purpose
size	int	Specifies the number of cells in 2d (always square for now)
A	int	Specifies the rule to apply. Birth A <= # <=B.
B	int	Specifies the rule to apply. Birth A <= # <=B.
C	int	Specifies the rule to apply. Survival C <= # <=D.
D	int	Specifies the rule to apply. Survival C <= # <=D.
freq	float	Specifies the refresh rate of generation.
seed	float	Probability of cell begin active at start of simulation.

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GameOfLifeCube

Param that can be passed to the scene. Active cells at start are at center of the cube unless randomized by specifying it in url.

Param	Type	Purpose
size	int	Specifies the number of cells in 3d (always cube for now)
A	int	Specifies the rule to apply. Birth A <= # <=B.
B	int	Specifies the rule to apply. Birth A <= # <=B.
C	int	Specifies the rule to apply. Survival C <= # <=D.
D	int	Specifies the rule to apply. Survival C <= # <=D.
freq	float	Specifies the refresh rate of generation.
seed	float	Probability of cell begin active at start of simulation.
randomize	int	If set to 1, cells are actived according to seed on start.

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Mandalas

No params for now.

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Tree

Param	Type	Purpose
variant	int	Branching variant [0,3]
maxiteration	int	Specifies the number of generation to spawn.
growthdelay	float	Time for branch to grow in secs.

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GoldenRatio

No params for now.

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Fourier

No params for now.