A cellular automaton is a discrete model studied in computability theory, mathematics, physics, complexity science, theoretical biology and microstructure modeling. Cellular automata are also called cellular spaces, tessellation automata, homogeneous structures, cellular structures, tessellation structures, and iterative arrays.

A cellular automaton consists of a regular grid of cells, each in one of a finite number of states, such as on and off (in contrast to a coupled map lattice). The grid can be in any finite number of dimensions. For each cell, a set of cells called its neighborhood is defined relative to the specified cell. An initial state (time t = 0) is selected by assigning a state for each cell. A new generation is created (advancing t by 1), according to some fixed rule (generally, a mathematical function) that determines the new state of each cell in terms of the current state of the cell and the states of the cells in its neighborhood. Typically, the rule for updating the state of cells is the same for each cell and does not change over time, and is applied to the whole grid simultaneously, though exceptions are known, such as the stochastic cellular automaton and asynchronous cellular automaton. (From Wikipedia)

1D cellular automaton ; rule 1 - 256

2D Polar Projection

1D CA in polar coordinate system ; rule 1 - 256

rule 90 ; generation 1-100

4D stereographic projection to 3D ; moving center point

ruleset change: 1D to 2D cellular automaton

rule 90:0101 ; generation 1-128

freezing on generation 59 ; generation 1-24

freezing on generation 65 ; generation 1-24

freezing on generation 86 ; generation 1-24

freezing on generation 89 ; generation 1-24

freezing on generation 113 ; generation 1-24

co-growth

Data to geometry conversion using 3D convex hull

Projecting accumulative 1D CA data to spherical space ; rule 90

Projecting accumulative 1D CA data to spherical space ; rule 129

Projecting accumulative 1D CA data to spherical space ; rule 169

Projecting accumulative 1D CA data to spherical space ; rule 225

Stereographic Projection from 4D to 3D

Stereographic Projection from 4D to 3D

Accumulative 2D CA ; rule 90

Accumulative 2D CA ; rule 90 (panelized)

Accumulative 2D CA ; rule 126

Accumulative 2D CA ; rule 126 (panelized)

Accumulative 2D CA ; co-growth

Plan 01

Plan 02

Exterior render

Interior render 1

Interior render 2

Interior render 3

Interior render 4

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