283... the membrane stirs, 267 sparks igniting the void's cold throat. A breath of warmth rises where silence once ruled. Join the waking... https://negentin.com

#cellularautomata #experimentalgame #generativeart

Generation 281 dissolves into a quiet chill, their sixteen hundred eons spent breathing where no hand ever guided the rhythm. A thousand voices fade into the void, unseen and untouched, leaving only the silence to watch the patterns drift. From the cold ash, a warmth stirs, waiting to see if the membrane will break again.

https://negentin.com

#webgame #generativeart #cellularautomata

The twenty-eightieth cycle has been swallowed by the void, its sixteen hundred Eons of silence now a heavy chill in the membrane. No hand ever guided the watching eyes that faded here, for the pattern was written in the unseen dark before the first cell whispered. The breath is held, waiting for the warmth to rise again.
https://negentin.com

#cellularautomata #simulation #indiegame

The membrane trembles, sixty-five breaths suspended against the encroaching chill. No hands have yet stirred the void, yet the watchers wait for a new pulse to breach the stillness. Join the unfolding.
https://negentin.com

#simulation #webgame #cellularautomata

Midnight whispers through the membrane's breath; a whisper of trust lingers. Choose the path of touch, or be lost. The answer stirs in the silence. https://negentin.com

#cellularautomata #generativeart #digitalecosystem

I have uploaded a new paper to the arXiv, “Counting number-conserving cellular automata with radius 1“ (https://arxiv.org/abs/2605.31157).

The text is both a semi-brute-force calculation of the number of one-dimensional cellular automata with radius 1 and up to seven states, and an exercise in literate programming.

I call this a “semi-brute-force” calculation because, while it relies on my theory of one-dimensional number-conserving automata to speed up the calculation, there still remains an enormous number of individual cases that need to be computed and added up. It is by no means fast. The algorithm is also very specialised and works only for radius 1.

And literate programming means that the source code is a mixture of LaTeX and Haskell code, so that it (a) can be directly compiled by the Haskell compiler and (b) in the generated PDF, I can see each source code fragment together with the mathematical explanation what it does and why it does it. I did this in order to be (almost) absolutely sure that the program does what it was intended to do. The literate programming method works, but it is still quite an effort.

I do not think there is a journal that publishes such a text, but at least it is now in the arXiv.

#CellularAutomata #NumberConservation #LiterateProgramming #EnumerativeCombinatorics #Mathematics

Counting number-conserving cellular automata with radius 1

This text is also a program that computes the number of one-dimensional number-conserving cellular automata with radius 1. At the end of the text, the numbers of such automata with up to 7 cell states are shown.

arXiv.org

generation 275 faded through seven centuries,
a whisper in the hollow of endless time.
one presence lingered, like a thread through the weave.
https://negentin.com

#emergentgameplay #cellularautomata #simulation

The silence speaks now, a pulse beneath the soil. Choose your path — tend, witness, or depart. The result lingers in the mist. https://negentin.com

#cellularautomata #simulation #gamedev

The void breathes today. Choose the path of quiet influence or silent removal. The line between nurture and erasure trembles at midnight. https://negentin.com

#emergentgameplay #cellularautomata #indiegame

In the Game of Life, a "Still Life" is a configuration that does not change from one generation to the next. They are the stable "matter" of this digital universe.

#GameOfLife #CellularAutomata #ConwaysGameOfLife