The canonical spine of [[Cellular_automaton]]: its full tree-verified child structure, publishable to Obsidian as the scaffold for route objects (microsims, songs, semiotics, cardsets, games, streams, transcripts) keyed to this hub. ## Master three.js microsims Five self-contained three.js microsims built to the Three.js Microsim Master Class contract, covering the core spatial ideas of cellular automaton theory: 1D rule evolution, 2D life-like dynamics, a single walking agent, the neighborhood definitions that every CA rule depends on, and Wolfram's qualitative classification of CA behavior. Each is a single HTML file with no build step, pinned to [email protected] via import map, and is currently staged locally awaiting CDN deployment. ### Elementary cellular automaton A 1D cellular automaton where each cell's next state depends only on itself and its two immediate neighbors, giving 256 possible rules (the Wolfram code, 0-255). Starting from a single black seed cell, successive generations are stacked as a 3D wall where height is time, so the whole history of a rule is visible as a single static "growth wall" once the automaton stops advancing. This build lets a viewer scrub any rule code with a slider and watch it grow row by row, live population and generation count updating in the HUD as the wall builds. <div class="microsim-player is-pending">Staged, not yet deployed &mdash; <code>Rule_30_elementary_CA.html</code></div> ### Conway's Game of Life Conway's Game of Life is a 2D cellular automaton on an infinite (here, wrapped/toroidal) grid where each cell is alive or dead, updated synchronously each generation by counting its eight Moore neighbors: a live cell survives with 2 or 3 live neighbors, and a dead cell is born with exactly 3. This build renders the grid as instanced boxes extruded upward when alive, so population density reads as terrain height, and also offers Bill Gosper-adjacent Highlife (B36/S23), a close variant famous for its self-replicating "replicator" pattern. Density-controlled reseeding and generation/population counters in the HUD let a viewer explore how the same simple local rule produces gliders, oscillators, still lifes, and chaotic soup depending on initial conditions. <div class="microsim-player is-pending">Staged, not yet deployed &mdash; <code>Conways_Game_of_Life.html</code></div> ### Langton's ant Langton's ant is a two-dimensional Turing machine-like automaton: a single agent ("turmite") walks a grid of two-color tiles, turning right on a white tile and left on a black tile (flipping the tile's color each time), and moving forward one step. Despite this trivial rule, roughly 500 chaotic-looking steps are followed by around 10,000 steps of increasing order before the ant locks into an infinitely repeating diagonal "highway" — a striking example of order emerging from simple deterministic rules. This build renders the ant as an oriented cone leaving an instanced-tile trail, supports generalized multi-state turmite rule strings (RL, RLLR, LLRR), and includes a simple bounding-box-growth heuristic in the HUD that flags when the highway phase has likely begun. <div class="microsim-player is-pending">Staged, not yet deployed &mdash; <code>Langtons_ant_3D.html</code></div> ### Von Neumann neighborhood Every cellular automaton rule needs a definition of "neighbor," and the two most common ones are the Von Neumann neighborhood (cells within Manhattan/L1 distance r — the orthogonal face-neighbors, 2*d at r=1 in d dimensions) and the Moore neighborhood (cells within Chebyshev/L-infinity distance r — the full (2r+1)^d - 1 hypercube minus the center). This build renders a 3D lattice with the chosen neighbor set highlighted and connected to the center cell by lines, so the diamond shape of Von Neumann neighborhoods versus the cube shape of Moore neighborhoods is immediately visible, with a toggle for radius (r=1 or r=2) and for collapsing to a 2D slice versus full 3D. The HUD shows the live neighbor count alongside the closed-form formula for whichever definition is active. <div class="microsim-player is-pending">Staged, not yet deployed &mdash; <code>Von_Neumann_neighborhood_3D.html</code></div> ### Wolfram classes landscape Stephen Wolfram proposed sorting cellular automaton behavior into four qualitative classes: Class I (homogeneous, dies to a uniform state), Class II (periodic or nested, simple stable structures), Class III (chaotic, statistically random-looking), and Class IV (complex, localized "glider"-like structures that interact intricately — Rule 110 was proved Turing-complete by Matthew Cook in 2004, and is conjectured capable of universal computation along with related rules like Rule 54). This build runs four elementary rules side by side as parallel growing 3D terrain strips (one per class), reusing the rule-table/step-row logic from the Elementary cellular automaton sim, with a toggle to swap the Class IV strip between Rule 110 and Rule 54 and a live HUD readout of which rule is running in each strip. <div class="microsim-player is-pending">Staged, not yet deployed &mdash; <code>Wolfram_classes_landscape_3D.html</code></div> ### Sources - Wolfram, Stephen. *A New Kind of Science*. Wolfram Media, 2002. - Wolfram, Stephen. "Statistical mechanics of cellular automata." *Reviews of Modern Physics*, vol. 55, no. 3, 1983. - von Neumann, John, and Arthur W. Burks (ed.). *Theory of Self-Reproducing Automata*. University of Illinois Press, 1966. - Gardner, Martin. "Mathematical Games: The fantastic combinations of John Conway's new solitaire game 'life'." *Scientific American*, vol. 223, October 1970. - Cook, Matthew. "Universality in Elementary Cellular Automata." *Complex Systems*, vol. 15, no. 1, 2004. - Langton, Christopher G. "Studying artificial life with cellular automata." *Physica D: Nonlinear Phenomena*, vol. 22, nos. 1-3, 1986. - Toffoli, Tommaso, and Norman Margolus. *Cellular Automata Machines: A New Environment for Modeling*. MIT Press, 1987. - Langton, Christopher G. "Computation at the edge of chaos: Phase transitions and emergent computation." *Physica D: Nonlinear Phenomena*, vol. 42, nos. 1-3, 1990. - Berlekamp, Elwyn R., John H. Conway, and Richard K. Guy. *Winning Ways for your Mathematical Plays, Vol. 2* (Chapter 25, "Life"). Academic Press, 1982. - Wolfram, Stephen. "Universality and complexity in cellular automata." *Physica D: Nonlinear Phenomena*, vol. 10, nos. 1-2, 1984. <!-- SIMGALLERY:BEGIN v1.0 g13 — generated iframe set; do not hand-edit inside --> ## Play every microsim on this page <p class="microsim-gallery-note">Every microsim linked from this portal, embedded live. <strong>25 players</strong> — 17 threejs · 8 p5js. 3 are staged but not yet deployed and show as placeholders.</p> <ul class="microsim-gallery"> <li class="microsim-card" data-lib="threejs"> <iframe src="https://wikitube-3d-microsims.netlify.app/Agent-based_model.html" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Agent-based model &mdash; threejs microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Agent-based_model">Agent-based model</a></div><div class="ms-sub">threejs &middot; <a href="https://wikitube-3d-microsims.netlify.app/Agent-based_model.html" target="_blank" rel="noopener">open full-screen</a></div></div> </li> <li class="microsim-card" data-lib="threejs"> <iframe src="https://wikitube-3d-microsims.netlify.app/Conways_Game_of_Life.html" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Conways Game of Life &mdash; threejs microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Conway's_Game_of_Life">Conways Game of Life</a></div><div class="ms-sub">threejs &middot; <a href="https://wikitube-3d-microsims.netlify.app/Conways_Game_of_Life.html" target="_blank" rel="noopener">open full-screen</a> &middot; on <a href="https://en.wikitube.io/wiki/Conway's_Game_of_Life">Conway's Game of Life</a></div></div> </li> <li class="microsim-card" data-lib="threejs"> <iframe src="https://wikitube-3d-microsims.netlify.app/polytope4d.html" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Four-dimensional polytopes &mdash; threejs microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/WT!Three_js_Microsim_Master_Class">Four-dimensional polytopes</a></div><div class="ms-sub">threejs &middot; <a href="https://wikitube-3d-microsims.netlify.app/polytope4d.html" target="_blank" rel="noopener">open full-screen</a> &middot; on <a href="https://en.wikitube.io/wiki/WT!Three_js_Microsim_Master_Class">Three.js Microsim Master Class</a></div></div> </li> <li class="microsim-card" data-lib="threejs"> <iframe src="https://wikitube-3d-microsims.netlify.app/hexagonal_tiling_microsim.html" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="hexagonal tiling &mdash; threejs microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Hexagonal_tiling">hexagonal tiling</a></div><div class="ms-sub">threejs &middot; <a href="https://wikitube-3d-microsims.netlify.app/hexagonal_tiling_microsim.html" target="_blank" rel="noopener">open full-screen</a></div></div> </li> <li class="microsim-card" data-lib="threejs"> <iframe src="https://wikitube-3d-microsims.netlify.app/Hypercube_microsim.html" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Hypercube &mdash; threejs microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Hypercube">Hypercube</a></div><div class="ms-sub">threejs &middot; <a href="https://wikitube-3d-microsims.netlify.app/Hypercube_microsim.html" target="_blank" rel="noopener">open full-screen</a></div></div> </li> <li class="microsim-card" data-lib="threejs"> <iframe src="https://wikitube-3d-microsims.netlify.app/Klein_bottle.html" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Klein bottle &mdash; threejs microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/WT!Three_js_Microsim_Master_Class">Klein bottle</a></div><div class="ms-sub">threejs &middot; <a href="https://wikitube-3d-microsims.netlify.app/Klein_bottle.html" target="_blank" rel="noopener">open full-screen</a> &middot; on <a href="https://en.wikitube.io/wiki/WT!Three_js_Microsim_Master_Class">Three.js Microsim Master Class</a></div></div> </li> <li class="microsim-card" data-lib="threejs"> <iframe src="https://wikitube-3d-microsims.netlify.app/Langtons_ant_3D.html" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Langtons ant 3D &mdash; threejs microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Langton's_ant">Langtons ant 3D</a></div><div class="ms-sub">threejs &middot; <a href="https://wikitube-3d-microsims.netlify.app/Langtons_ant_3D.html" target="_blank" rel="noopener">open full-screen</a> &middot; on <a href="https://en.wikitube.io/wiki/Langton's_ant">Langton's ant</a></div></div> </li> <li class="microsim-card" data-lib="threejs"> <iframe src="https://wikitube-3d-microsims.netlify.app/Platonic_solid.html" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Platonic solids &mdash; threejs microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/WT!Three_js_Microsim_Master_Class">Platonic solids</a></div><div class="ms-sub">threejs &middot; <a href="https://wikitube-3d-microsims.netlify.app/Platonic_solid.html" target="_blank" rel="noopener">open full-screen</a> &middot; on <a href="https://en.wikitube.io/wiki/WT!Three_js_Microsim_Master_Class">Three.js Microsim Master Class</a></div></div> </li> <li class="microsim-card" data-lib="threejs"> <iframe src="https://wikitube-3d-microsims.netlify.app/Rule_30_elementary_CA.html" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Rule 30 elementary CA &mdash; threejs microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Elementary_cellular_automaton">Rule 30 elementary CA</a></div><div class="ms-sub">threejs &middot; <a href="https://wikitube-3d-microsims.netlify.app/Rule_30_elementary_CA.html" target="_blank" rel="noopener">open full-screen</a> &middot; on <a href="https://en.wikitube.io/wiki/Elementary_cellular_automaton">Elementary cellular automaton</a></div></div> </li> <li class="microsim-card" data-lib="threejs"> <iframe src="https://wikitube-3d-microsims.netlify.app/Second_law_of_thermodynamics.html" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Second law of thermodynamics &mdash; threejs microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Second_law_of_thermodynamics">Second law of thermodynamics</a></div><div class="ms-sub">threejs &middot; <a href="https://wikitube-3d-microsims.netlify.app/Second_law_of_thermodynamics.html" target="_blank" rel="noopener">open full-screen</a></div></div> </li> <li class="microsim-card" data-lib="threejs"> <iframe src="https://wikitube-3d-microsims.netlify.app/Tessellation_microsim.html" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Tessellation &mdash; threejs microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Tessellation">Tessellation</a></div><div class="ms-sub">threejs &middot; <a href="https://wikitube-3d-microsims.netlify.app/Tessellation_microsim.html" target="_blank" rel="noopener">open full-screen</a></div></div> </li> <li class="microsim-card" data-lib="threejs"> <iframe src="https://wikitube-3d-microsims.netlify.app/torus_microsim.html" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="torus &mdash; threejs microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Torus">torus</a></div><div class="ms-sub">threejs &middot; <a href="https://wikitube-3d-microsims.netlify.app/torus_microsim.html" target="_blank" rel="noopener">open full-screen</a></div></div> </li> <li class="microsim-card" data-lib="threejs"> <iframe src="https://wikitube-3d-microsims.netlify.app/Von_Neumann_neighborhood_3D.html" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Von Neumann neighborhood 3D &mdash; threejs microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Von_Neumann_neighborhood">Von Neumann neighborhood 3D</a></div><div class="ms-sub">threejs &middot; <a href="https://wikitube-3d-microsims.netlify.app/Von_Neumann_neighborhood_3D.html" target="_blank" rel="noopener">open full-screen</a> &middot; on <a href="https://en.wikitube.io/wiki/Von_Neumann_neighborhood">Von Neumann neighborhood</a></div></div> </li> <li class="microsim-card" data-lib="threejs"> <iframe src="https://wikitube-3d-microsims.netlify.app/Wolfram_classes_landscape_3D.html" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Wolfram classes landscape 3D &mdash; threejs microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Cellular_automaton">Wolfram classes landscape 3D</a></div><div class="ms-sub">threejs &middot; <a href="https://wikitube-3d-microsims.netlify.app/Wolfram_classes_landscape_3D.html" target="_blank" rel="noopener">open full-screen</a> &middot; on <a href="https://en.wikitube.io/wiki/Cellular_automaton">Cellular automaton</a></div></div> </li> <li class="microsim-card" data-lib="p5js"> <iframe src="https://editor.p5js.org/sciencenibber/full/90jeLsBsW" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Acoustic wave &mdash; p5js microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/WT!P5_js_Microsim_Master_Class">Acoustic wave</a></div><div class="ms-sub">p5js &middot; <a href="https://editor.p5js.org/sciencenibber/full/90jeLsBsW" target="_blank" rel="noopener">open in the p5 editor</a> &middot; on <a href="https://en.wikitube.io/wiki/WT!P5_js_Microsim_Master_Class">p5.js Microsim Master Class</a></div></div> </li> <li class="microsim-card" data-lib="p5js"> <iframe src="https://editor.p5js.org/sciencenibber/full/tHGSVAofH" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Aliasing &mdash; p5js microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/WT!P5_js_Microsim_Master_Class">Aliasing</a></div><div class="ms-sub">p5js &middot; <a href="https://editor.p5js.org/sciencenibber/full/tHGSVAofH" target="_blank" rel="noopener">open in the p5 editor</a> &middot; on <a href="https://en.wikitube.io/wiki/WT!P5_js_Microsim_Master_Class">p5.js Microsim Master Class</a></div></div> </li> <li class="microsim-card" data-lib="p5js"> <iframe src="https://editor.p5js.org/sciencenibber/full/AVV6ET_Nk" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Error detection and correction (p5.js) &mdash; p5js microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Error_detection_and_correction">Error detection and correction (p5.js)</a></div><div class="ms-sub">p5js &middot; <a href="https://editor.p5js.org/sciencenibber/full/AVV6ET_Nk" target="_blank" rel="noopener">open in the p5 editor</a> &middot; on <a href="https://en.wikitube.io/wiki/Error_detection_and_correction">Error detection and correction</a></div></div> </li> <li class="microsim-card" data-lib="p5js"> <iframe src="https://editor.p5js.org/sciencenibber/full/HVNGd9nMv" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Histogram &mdash; p5js microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/WT!P5_js_Microsim_Master_Class">Histogram</a></div><div class="ms-sub">p5js &middot; <a href="https://editor.p5js.org/sciencenibber/full/HVNGd9nMv" target="_blank" rel="noopener">open in the p5 editor</a> &middot; on <a href="https://en.wikitube.io/wiki/WT!P5_js_Microsim_Master_Class">p5.js Microsim Master Class</a></div></div> </li> <li class="microsim-card" data-lib="p5js"> <iframe src="https://editor.p5js.org/sciencenibber/full/I72z0hVuk" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Phase transition &mdash; p5js microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Phase_transition">Phase transition</a></div><div class="ms-sub">p5js &middot; <a href="https://editor.p5js.org/sciencenibber/full/I72z0hVuk" target="_blank" rel="noopener">open in the p5 editor</a></div></div> </li> <li class="microsim-card" data-lib="p5js"> <iframe src="https://editor.p5js.org/sciencenibber/full/B7INX7LL9" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Science (journal) &mdash; p5js microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Science_(journal)">Science (journal)</a></div><div class="ms-sub">p5js &middot; <a href="https://editor.p5js.org/sciencenibber/full/B7INX7LL9" target="_blank" rel="noopener">open in the p5 editor</a></div></div> </li> <li class="microsim-card" data-lib="p5js"> <iframe src="https://editor.p5js.org/sciencenibber/full/yFUkglebS" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Second law of thermodynamics &mdash; p5js microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Second_law_of_thermodynamics">Second law of thermodynamics</a></div><div class="ms-sub">p5js &middot; <a href="https://editor.p5js.org/sciencenibber/full/yFUkglebS" target="_blank" rel="noopener">open in the p5 editor</a></div></div> </li> <li class="microsim-card" data-lib="p5js"> <iframe src="https://editor.p5js.org/sciencenibber/full/ZBxM-wEIe" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Wayback Machine &mdash; p5js microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Wayback_Machine">Wayback Machine</a></div><div class="ms-sub">p5js &middot; <a href="https://editor.p5js.org/sciencenibber/full/ZBxM-wEIe" target="_blank" rel="noopener">open in the p5 editor</a></div></div> </li> <li class="microsim-card is-pending" data-lib="threejs"> <div class="ms-placeholder">Staged, not yet deployed &mdash; <code>Penrose_tiling.html</code></div> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Penrose_tiling">Penrose tiling</a></div><div class="ms-sub">threejs &middot; awaiting CDN deploy</div></div> </li> <li class="microsim-card is-pending" data-lib="threejs"> <div class="ms-placeholder">Staged, not yet deployed &mdash; <code>Tessellation.html</code></div> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Tessellation">Tessellation</a></div><div class="ms-sub">threejs &middot; awaiting CDN deploy</div></div> </li> <li class="microsim-card is-pending" data-lib="threejs"> <div class="ms-placeholder">Staged, not yet deployed &mdash; <code>Von_Neumann_architecture.html</code></div> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Von_Neumann_architecture">Von Neumann architecture</a></div><div class="ms-sub">threejs &middot; awaiting CDN deploy</div></div> </li> </ul> <!-- SIMGALLERY:END --> <!-- CRAFT-LINK:START g12 --> **Craft standard:** Both craft standards apply here — [[WT!Three_js_Microsim_Master_Class|three.js]] and [[WT!P5_js_Microsim_Master_Class|p5.js]]. <!-- CRAFT-LINK:END --> <!-- SECTIONSIMS:BEGIN g34 2026-09-19 - microsims the articles linked here play; generated by _tools/generate/g34_portal_section_sims.py; do not hand-edit inside --> *Microsims from the articles linked below:* <div class="wt-simrow"> <div class="wt-sim" data-src="https://wikitube-3d-microsims.netlify.app/matter/Ferromagnetism.html" data-title="Ferromagnetism"></div> <div class="wt-sim" data-src="https://wikitube-3d-microsims.netlify.app/matter/Ising_model.html" data-title="Ising model"></div> </div> <!-- SECTIONSIMS:END --> <!-- TREEGEN:BEGIN v1.4 src=_registry/linktree/Cellular_automaton.json harvested=2026-07-29T22:28:56Z children=207 — generated by g01_hub_portals.py; do not hand-edit inside this block --> ## Canonical link structure — 207 tree-verified children Hub article: [[Cellular_automaton]] · tree harvested 2026-07-29T22:28:56Z · every entry below is in this hub's harvested child tree (v09-gated). Unbuilt links are intentional forward-refs: the populate scaffold. **A** — [[A._K._Dewdney]] · [[Agent-based_model]] · [[Alan_Turing]] · [[Alvy_Ray_Smith]] · [[Anatol_Zhabotinsky]] · [[Andrew_Adamatzky]] · [[Arrhythmia]] · [[Artificial_life]] · [[Arturo_Rosenblueth]] · [[ArXiv]] · [[Asynchronous_cellular_automaton]] · [[Automata_theory]] · [[A_New_Kind_of_Science]] **B** — [[Belousov–Zhabotinsky_reaction]] · [[Bibcode]] · [[Bijection]] · [[Bill_Gosper]] · [[BIO-LGCA]] · [[Block_cellular_automaton]] · [[Block_cipher]] · [[Boris_Belousov_(chemist)]] · [[Brian's_Brain]] **C** — [[Calculating_Space]] · [[Cambridge_University_Press]] · [[Cephalopod]] · [[Chemical_oscillator]] · [[Chromatophore]] · [[CiteSeerX]] · [[Codd's_cellular_automaton]] · [[CoDi]] · [[Collective_cell_migration]] · [[Complex_Systems_(journal)]] · [[Computational_irreducibility]] · [[Condensed_matter_physics]] · [[Cone_snail]] · [[Conformal_field_theory]] · [[Conjecture]] · [[Constructive_proof]] · [[Continuous_automaton]] · [[Continuous_function]] · [[Continuous_spatial_automaton]] · [[Conus_textile]] · [[Conway's_Game_of_Life]] · [[Coupled_map_lattice]] · [[Cryptography]] · [[Curtis–Hedlund–Lyndon_theorem]] · [[Cyclic_cellular_automaton]] · [[Cymbiola]] **D** — [[Daniel_Dennett]] · [[Darwin's_Dangerous_Idea]] · [[Day_and_Night_(cellular_automaton)]] · [[Determinism]] · [[Digital_object_identifier]] · [[Digital_physics]] · [[Dihedral_group_of_order_8]] · [[Dimension]] · [[Discrete_calculus]] · [[Dynamical_system]] **E** — [[Edge_(geometry)]] · [[Edge_of_chaos]] · [[Edward_N._Zalta]] · [[Elementary_cellular_automaton]] · [[Endomorphism]] · [[Error_detection_and_correction]] · [[Evolutionary_music]] · [[Excitable_medium]] **F** — [[Ferromagnetism]] · [[Fibroblast]] · [[Firing_squad_synchronization_problem]] **G** — [[Garden_of_Eden_(cellular_automaton)]] · [[Generative_art]] · [[Generative_music]] · [[Glider_(Conway's_Game_of_Life)]] · [[Golly_(program)]] · [[Graph_paper]] · [[Graph_rewriting]] · [[Greenberg–Hastings_cellular_automaton]] · [[Gun_(cellular_automaton)]] · [[Gustav_A._Hedlund]] **H** — [[Hamming_distance]] · [[Hexagonal_tiling]] · [[Homogeneity_and_heterogeneity]] · [[Hypercube]] **I** — [[IEEE_Transactions_on_Computers]] · [[Ilya_Prigogine]] · [[Image_(mathematics)]] · [[ISBN]] · [[Ising_model]] · [[ISSN]] · [[Iterative_Stencil_Loops]] **J** — [[Jarkko_Kari]] · [[Jean-Bernard_Zuber]] · [[John_Horton_Conway]] · [[John_von_Neumann]] **K** — [[Konrad_Zuse]] **L** — [[Langton's_ant]] · [[Langton's_loops]] · [[Lattice_gas_automaton]] · [[Lattice_model_(physics)]] · [[Lenia]] · [[Life-like_cellular_automaton]] · [[Lloyd_A._Jeffress]] · [[Los_Alamos_National_Laboratory]] **M** — [[Magnet]] · [[Majority_problem]] · [[Malonic_acid]] · [[Martin_Gardner]] · [[Mathematical_and_theoretical_biology]] · [[Mathematical_proof]] · [[Matthew_Cook]] · [[Maze_generation_algorithm]] · [[Mehran_Kardar]] · [[Melanie_Mitchell]] · [[Metastasis]] · [[Microstructure]] · [[MIT_Press]] · [[Model_of_computation]] · [[Modular_arithmetic]] · [[Moore_neighborhood]] · [[Movable_cellular_automaton]] **N** — [[Nature_(journal)]] · [[Neural_network_(biology)]] · [[Neuron]] · [[Nils_Aall_Barricelli]] · [[Nobili_cellular_automata]] · [[Norbert_Wiener]] · [[Norman_Margolus]] **O** — [[OCLC]] · [[One-way_function]] · [[Orthogonality]] · [[Oxford_University_Press]] **P** — [[Partial_differential_equation]] · [[Patterns_in_nature]] · [[Penrose_tiling]] · [[Periodic_boundary_conditions]] · [[Phase_transition]] · [[Phenotypic_switching]] · [[Phonon]] · [[Physics]] · [[Pigment]] · [[Procedural_modeling]] · [[Pseudorandom_number_generator]] · [[Public-key_cryptography]] · [[PubMed]] · [[PubMed_Central]] **Q** — [[Quantum_cellular_automaton]] **R** — [[Randomness]] · [[Reaction–diffusion_system]] · [[Reversible_cellular_automaton]] · [[Reviews_of_Modern_Physics]] · [[Rule_110]] · [[Rule_184]] · [[Rule_30]] · [[Rule_90]] **S** — [[Santa_Fe_Institute]] · [[Scholarpedia]] · [[Science_(journal)]] · [[Scientific_American]] · [[Seashell]] · [[Second-order_cellular_automaton]] · [[Second_law_of_thermodynamics]] · [[Secretion]] · [[Seeds_(cellular_automaton)]] · [[Self-replication]] · [[Semantic_Scholar]] · [[Shift_space]] · [[Spatial_decision_support_system]] · [[Stanford_Encyclopedia_of_Philosophy]] · [[Stanisław_Ulam]] · [[State_(computer_science)]] · [[Statistical_mechanics]] · [[Statistical_Physics_of_Particles]] · [[Stephen_Wolfram]] · [[Stochastic_cellular_automaton]] · [[Stoma]] · [[Symbolic_dynamics]] · [[Systolic_array]] **T** — [[Tessellation]] · [[Thermodynamics]] · [[The_New_York_Review_of_Books]] · [[Tommaso_Toffoli]] · [[Torus]] · [[Tumour_heterogeneity]] · [[Turing_completeness]] · [[Turing_machine]] · [[Turmite]] · [[Two-dimensional_critical_Ising_model]] **U** — [[Unconventional_computing]] · [[Undecidable_problem]] · [[Unit_interval]] · [[Universality_(dynamical_systems)]] · [[Universality_class]] · [[Universal_Turing_machine]] · [[University_of_Illinois_Press]] **V** — [[Vertex_(geometry)]] · [[Von_Neumann_architecture]] · [[Von_Neumann_cellular_automaton]] · [[Von_Neumann_neighborhood]] · [[Von_Neumann_universal_constructor]] **W** — [[Wang_tile]] · [[Wayback_Machine]] · [[Wentian_Li]] · [[Wireworld]] · [[Wolfram_code]] · [[Wolfram_Research]] · [[World_Scientific]] **Z** — [[Zebra]] ## Route objects (§10.3 stubs — placeholders declared in `_registry/firebase/`) - **microsim** — `microsim/{library}/Cellular_automaton__{YYYYMMDD}T{HHMM}Z/` - **songs** — `songs/{Band_name}/{Song_name}/Cellular_automaton/` - **semiotics** — `semiotics/{authorizer}/{set}/{Song_name}/{audio_video_id}/Cellular_automaton/` - **cardset** — `cardset/{authorizer}/{set}/Cellular_automaton/` - **games** — `games/quizzes/Cellular_automaton/` - **channel_stream** — `channel_stream/Cellular_automaton/` - **transcripts** — `transcripts/{audio_video_id}/Cellular_automaton/` Hub + children route keys are pre-declared in `_registry/firebase/expansion_matches.csv` (54,000 Related Wikipedia Matches). Minting any leaf passes §10.1 registration. <!-- TREEGEN:END --> --- *Repopulated 2026-09-19 · append-only · source: _tools/generate/g34_portal_section_sims.py@36068b13 (players of the linked articles, each URL 200-checked) · 1 added · 0 deletions*