Original · memory
Chronofold 2/5
A one-dimensional process whose present neighborhood decides whether to read two or five ticks into its own past.
Original · memory
A cellular process
that folds time.
Every cell looks sideways, chooses one of two memories, then rewrites itself. The rule is short. The consequences are not.
SPACE · play/pause. · stepR · reset
Original + classics Chronofold 2/5 was designed for this project. Conway’s Life, Rule 30, and Rule 110 are included as classic reference worlds.
LIVE CELLS001
2-BACK FOLDS0%
WORLD FINGERPRINTEF1B2B05
STARTING WORLDSelect a preset or paint directly on the canvas.
01
The cellular arcade
Four worlds, four kinds of complexity
Change the law. Change what “alive” can mean.
Each world updates all of its cells at once. What changes is the neighborhood, the memory, and the tiny law that decides the next frame.
Classic · 2D
Conway’s Life
The classic two-dimensional cellular automaton: birth with three neighbors, survival with two or three.
Classic · chaos
Rule 30
An elementary one-dimensional rule with a chaotic left side, ordered right edge, and no memory beyond the current row.
Classic · universal
Rule 110
An elementary rule balanced between repetition and chaos, known for its interacting mobile structures.
CURRENT LAWCHRONOFOLD_2/5
Choose d = 2 when the left and right neighbors agree; otherwise d = 5. Then XOR left, center, right, and the same cell at time t−d.
Inside the original
How Chronofold turns memory into a moving topology.
Look sideways
Each cell reads its immediate left and right neighbors. The row wraps around, so the world has no edge.
Choose a memory
Matching neighbors pull the cell from two ticks ago. Mismatched neighbors reach five ticks back.
Fold with XOR
Left, center, right, and remembered self are XORed. Every cell makes this choice at the same time.
CHRONOFOLD’S COMPLETE LAW
d = 2 if left = right,
otherwise d = 5
xi(t+1) = xi−1(t) ⊕ xi(t) ⊕ xi+1(t) ⊕ xi(t−d)Try this
Run Twin pulse until its cones collide, pause, then draw into the newest row. Your intervention becomes part of the system’s memory.
02
Wolfram stuff, decoded
“Wolfram” is a company,
a language, and a way of looking at computation.
The word gets used for several connected ideas. Here is the non-mystical version.
Wolfram Language + Mathematica
Wolfram Language is a symbolic programming language with a huge amount of mathematics, algorithms, data, and visualization built in. Mathematica is its flagship notebook environment.
Official language overviewCellular automata
A grid of cells updates in synchronized ticks using the same local rule everywhere. The elementary version has two colors and three-cell neighborhoods—only 256 possible rules.
See the 256-rule familyEmergence + irreducibility
Emergence means large-scale order can arise from small local interactions. Computational irreducibility is the idea that for many systems there is no reliable shortcut: you have to run the steps.
Read the primary explanationWolfram Physics
A newer research program asks whether space, time, relativity, and quantum behavior could emerge from repeated rewriting of discrete structures such as hypergraphs. It is an ambitious proposal, not established physics.
Open the project’s visual summaryWhy these modes belong together
The code is the hypothesis. The picture is the experiment.
All four modes begin with tiny, explicit laws. Conway’s Life adds a second spatial dimension. Rule 30 explores chaos. Rule 110 sits near universality. Chronofold adds self-addressing memory.
The best way to understand any of them is not just to read the rule—it is to disturb the world and watch what survives.