3D Cellular Automaton: Layer-Slice Grid (2D) - Exploring Complex Patterns in a 14-Cubed Voxel Space

What is a Cellular Automaton?

A cellular automaton is a mathematical model used to simulate complex systems by applying simple rules iteratively. Each cell in a grid can be in one of several states, and the state of each cell changes based on its neighbors over time.

The 3D Cellular Automaton - Layer-Slice Grid (2D) specifically focuses on a two-dimensional slice through a three-dimensional grid, allowing for detailed exploration of patterns within layers.

How Does It Work?

In the context of this simulation, each cell in the 14-cubed voxel space can be either alive or dead. The state of a cell at any given time is determined by the states of its neighbors according to predefined rules.

The 'survive' and 'birth' neighbor-count rules dictate whether a cell remains alive (or stays dead) and whether a dead cell becomes alive, respectively.

Why Does It Matter?

Cellular automata are not just theoretical constructs; they have applications in various fields such as computer science, physics, biology, and even urban planning. They help model systems that evolve over time based on local interactions.

The 3D Cellular Automaton - Layer-Slice Grid (2D) provides a visual and interactive way to understand these complex dynamics and the emergence of patterns from simple rules.

Real-World Examples

In biology, cellular automata are used to model population dynamics and the spread of diseases.

In computer science, they are applied in algorithms for image processing and data compression.

Frequently asked questions

Try it live

Everything above runs in your browser — open 3D Cellular Automaton — Layer-Slice Grid (2D) and change the parameters while it is running. Nothing is installed, nothing is uploaded, the whole model lives in one tab.