# \#ruliology **URL:** https://community.wolfram.com/tag/ruliology/8.md [Latest](https://community.wolfram.com/latest.md) · [Categories](https://community.wolfram.com/categories.md) · [Tags](https://community.wolfram.com/tags.md) --- ## [\[WSRP26\] Exploring the effects of payoffs on games between programs](https://community.wolfram.com/t/wsrp26-exploring-the-effects-of-payoffs-on-games-between-programs/27244)
**Author:** [@flametail6tails](https://community.wolfram.com/u/flametail6tails)\ **Replies:** 3\ **Last updated:** [November 2, 2026, 12:14am UTC](https://community.wolfram.com/t/wsrp26-exploring-the-effects-of-payoffs-on-games-between-programs/27244 "2026-11-02T00:14:22Z")
Open in Wolfram Cloud ↗ --- ## [Measuring irreducibility, structure and containment in graph-rewriting automata](https://community.wolfram.com/t/measuring-irreducibility-structure-and-containment-in-graph-rewriting-automata/28437)
**Author:** [@petercosyn](https://community.wolfram.com/u/petercosyn)\ **Replies:** 1\ **Last updated:** [October 29, 2026, 1:25pm UTC](https://community.wolfram.com/t/measuring-irreducibility-structure-and-containment-in-graph-rewriting-automata/28437 "2026-10-29T13:25:33Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (10.6 MB) --- ## [A simpler polynomial-time compilation to cyclic tag for bounded computation](https://community.wolfram.com/t/a-simpler-polynomial-time-compilation-to-cyclic-tag-for-bounded-computation/28416)
**Author:** [@udqbpn](https://community.wolfram.com/u/udqbpn)\ **Replies:** 1\ **Last updated:** [October 26, 2026, 6:20pm UTC](https://community.wolfram.com/t/a-simpler-polynomial-time-compilation-to-cyclic-tag-for-bounded-computation/28416 "2026-10-26T18:20:28Z")
Open in Wolfram Cloud ↗ --- ## [New Book by Stephen Wolfram Coming Soon: "What Ultimately Is There?... And Other Foundational Questions"](https://community.wolfram.com/t/new-book-by-stephen-wolfram-coming-soon-what-ultimately-is-there-and-other-foundational-questions/28040)
**Author:** [@paigeb](https://community.wolfram.com/u/paigeb)\ **Replies:** 1\ **Last updated:** [October 21, 2026, 4:49pm UTC](https://community.wolfram.com/t/new-book-by-stephen-wolfram-coming-soon-what-ultimately-is-there-and-other-foundational-questions/28040 "2026-10-21T16:49:22Z")
Preorder now on Amazon: https://a.co/d/06Li5ikq What is time? What is consciousness? Why does the universe exist? Decades of foundational work in science and technology have led Stephen Wolfram to tackle some of … --- ## [Poole manifold: stable surfaces and exact defect laws in a 3D cellular automaton](https://community.wolfram.com/t/poole-manifold-stable-surfaces-and-exact-defect-laws-in-a-3d-cellular-automaton/28364)
**Author:** [@simpleworker](https://community.wolfram.com/u/simpleworker)\ **Replies:** 1\ **Last updated:** [October 20, 2026, 8:18pm UTC](https://community.wolfram.com/t/poole-manifold-stable-surfaces-and-exact-defect-laws-in-a-3d-cellular-automaton/28364 "2026-10-20T20:18:55Z")
Hello, this is my first post. I’m completely self-taught, open to feedback, and was recommended to post here. I am unable to upload referenced code/links here (probably because I’m new) but I will put it in my GitHub @ro… --- ## [TOE and the Upaniṣads: can a Theory of Everything explain life?](https://community.wolfram.com/t/toe-and-the-upani-ads-can-a-theory-of-everything-explain-life/28217)
**Author:** [@jayantap](https://community.wolfram.com/u/jayantap)\ **Replies:** 1\ **Last updated:** [September 30, 2026, 4:06pm UTC](https://community.wolfram.com/t/toe-and-the-upani-ads-can-a-theory-of-everything-explain-life/28217 "2026-09-30T16:06:47Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (10.6 MB) --- ## [New Stephen Wolfram Writings ePub Series](https://community.wolfram.com/t/new-stephen-wolfram-writings-epub-series/27522)
**Author:** [@treytonj](https://community.wolfram.com/u/treytonj)\ **Replies:** 0\ **Last updated:** [September 2, 2026, 9:07pm UTC](https://community.wolfram.com/t/new-stephen-wolfram-writings-epub-series/27522 "2026-09-02T21:07:53Z")
Stephen Wolfram’s writings span physics, computation, AI and philosophy—but what sets them apart is how they connect these fields into coherent frameworks. Across decades of work, he has regularly returned to a centra… --- ## [BorderedFJReduction: a symbolic engine for the Faddeev-Jackiw reduction](https://community.wolfram.com/t/borderedfjreduction-a-symbolic-engine-for-the-faddeev-jackiw-reduction/27525)
**Author:** [@eduardoclopez13](https://community.wolfram.com/u/eduardoclopez13)\ **Replies:** 1\ **Last updated:** [September 2, 2026, 4:27pm UTC](https://community.wolfram.com/t/borderedfjreduction-a-symbolic-engine-for-the-faddeev-jackiw-reduction/27525 "2026-09-02T16:27:33Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (775 KB) --- ## [\[WSFP26\] Understanding and analyzing deeper Langton's Ant](https://community.wolfram.com/t/wsfp26-understanding-and-analyzing-deeper-langtons-ant/27460)
**Author:** [@natsukidevillard](https://community.wolfram.com/u/natsukidevillard)\ **Replies:** 1\ **Last updated:** [August 19, 2026, 5:31pm UTC](https://community.wolfram.com/t/wsfp26-understanding-and-analyzing-deeper-langtons-ant/27460 "2026-08-19T17:31:41Z")
This project was a collaborative effort by Natsuki Devillard, Bruno Alexandre, and Alain Chidiac, carried out during the Wolfram Language Summer School at Wolfram Research Europe. Introduction Langton’s Ant is a simp… --- ## [\[WSRI26\] Sandpile Model Dynamics on Radial Density Gradients](https://community.wolfram.com/t/wsri26-sandpile-model-dynamics-on-radial-density-gradients/27317)
**Author:** [@marialuizacordeiro](https://community.wolfram.com/u/marialuizacordeiro)\ **Replies:** 3\ **Last updated:** [August 8, 2026, 4:37pm UTC](https://community.wolfram.com/t/wsri26-sandpile-model-dynamics-on-radial-density-gradients/27317 "2026-08-08T16:37:50Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (462 KB) --- ## [\[WSS20\] Implementation of level-index arithmetic for very large numbers](https://community.wolfram.com/t/wss20-implementation-of-level-index-arithmetic-for-very-large-numbers/16386)
**Author:** [@ss8659](https://community.wolfram.com/u/ss8659)\ **Replies:** 8\ **Last updated:** [July 24, 2026, 11:34pm UTC](https://community.wolfram.com/t/wss20-implementation-of-level-index-arithmetic-for-very-large-numbers/16386 "2026-07-24T23:34:58Z")
Open in Wolfram Cloud ↗ --- ## [\[WSRI26\] Cellular Automaton Wagering](https://community.wolfram.com/t/wsri26-cellular-automaton-wagering/27304)
**Author:** [@jamesedwardnee](https://community.wolfram.com/u/jamesedwardnee)\ **Replies:** 1\ **Last updated:** [July 23, 2026, 5:05pm UTC](https://community.wolfram.com/t/wsri26-cellular-automaton-wagering/27304 "2026-07-23T17:05:25Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (1.18 MB) --- ## [\[WSRI26\] Classifying Defects in Cellular Automata](https://community.wolfram.com/t/wsri26-classifying-defects-in-cellular-automata/27288)
**Author:** [@myrtoter05](https://community.wolfram.com/u/myrtoter05)\ **Replies:** 5\ **Last updated:** [July 21, 2026, 8:26pm UTC](https://community.wolfram.com/t/wsri26-classifying-defects-in-cellular-automata/27288 "2026-07-21T20:26:08Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (1.14 MB) --- ## [\[WSRI26\] Estimating Satellite Collision Risk: An Ergodic Approach](https://community.wolfram.com/t/wsri26-estimating-satellite-collision-risk-an-ergodic-approach/27324)
**Author:** [@leylasozenkohl](https://community.wolfram.com/u/leylasozenkohl)\ **Replies:** 2\ **Last updated:** [July 21, 2026, 7:27pm UTC](https://community.wolfram.com/t/wsri26-estimating-satellite-collision-risk-an-ergodic-approach/27324 "2026-07-21T19:27:44Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (3.3 MB) --- ## [\[WSRI26\] HyperVacuum: A Dimension-Agnostic Hypergraph Lattice Model of the Quantum Vacuum](https://community.wolfram.com/t/wsri26-hypervacuum-a-dimension-agnostic-hypergraph-lattice-model-of-the-quantum-vacuum/27328)
**Author:** [@federicoselleri](https://community.wolfram.com/u/federicoselleri)\ **Replies:** 1\ **Last updated:** [July 21, 2026, 2:50pm UTC](https://community.wolfram.com/t/wsri26-hypervacuum-a-dimension-agnostic-hypergraph-lattice-model-of-the-quantum-vacuum/27328 "2026-07-21T14:50:17Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (9.67 MB) --- ## [\[WSRI26\] Classifying Cellular Automaton Rules by Diagonal Period Mod\[p\]](https://community.wolfram.com/t/wsri26-classifying-cellular-automaton-rules-by-diagonal-period-mod-p/27338)
**Author:** [@tigrannersissian](https://community.wolfram.com/u/tigrannersissian)\ **Replies:** 3\ **Last updated:** [July 20, 2026, 11:28am UTC](https://community.wolfram.com/t/wsri26-classifying-cellular-automaton-rules-by-diagonal-period-mod-p/27338 "2026-07-20T11:28:22Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (6.97 MB) --- ## [\[WSRI26\] How to build a house around a flower? (an overview)](https://community.wolfram.com/t/wsri26-how-to-build-a-house-around-a-flower-an-overview/27315)
**Author:** [@paulabotellandreu](https://community.wolfram.com/u/paulabotellandreu)\ **Replies:** 1\ **Last updated:** [July 20, 2026, 9:16am UTC](https://community.wolfram.com/t/wsri26-how-to-build-a-house-around-a-flower-an-overview/27315 "2026-07-20T09:16:55Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (5.85 MB) --- ## [\[WSRI26\] Structure-Adaptive Evolutionary Framework for Navigating the Rule-space of Hypergraphs](https://community.wolfram.com/t/wsri26-structure-adaptive-evolutionary-framework-for-navigating-the-rule-space-of-hypergraphs/27334)
**Author:** [@scfrerichs](https://community.wolfram.com/u/scfrerichs)\ **Replies:** 1\ **Last updated:** [July 18, 2026, 11:05pm UTC](https://community.wolfram.com/t/wsri26-structure-adaptive-evolutionary-framework-for-navigating-the-rule-space-of-hypergraphs/27334 "2026-07-18T23:05:53Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (19.2 MB) --- ## [\[WSRI26\] Limits of Multi-Objective Adaptive Evolution for Cellular Automata](https://community.wolfram.com/t/wsri26-limits-of-multi-objective-adaptive-evolution-for-cellular-automata/27332)
**Author:** [@lperillab](https://community.wolfram.com/u/lperillab)\ **Replies:** 2\ **Last updated:** [July 18, 2026, 8:36pm UTC](https://community.wolfram.com/t/wsri26-limits-of-multi-objective-adaptive-evolution-for-cellular-automata/27332 "2026-07-18T20:36:04Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (3.17 MB) --- ## [\[WSRI26\] Evolving Circles: Adaptive Search in a Cellular Automaton Rule Space](https://community.wolfram.com/t/wsri26-evolving-circles-adaptive-search-in-a-cellular-automaton-rule-space/27327)
**Author:** [@jhoansaldarriaga](https://community.wolfram.com/u/jhoansaldarriaga)\ **Replies:** 2\ **Last updated:** [July 18, 2026, 7:34pm UTC](https://community.wolfram.com/t/wsri26-evolving-circles-adaptive-search-in-a-cellular-automaton-rule-space/27327 "2026-07-18T19:34:35Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (14.4 MB) --- ## [\[WSRI26\] Running Computational Clinical Trials on Cellular Automata](https://community.wolfram.com/t/wsri26-running-computational-clinical-trials-on-cellular-automata/27312)
**Author:** [@iqrasajid771](https://community.wolfram.com/u/iqrasajid771)\ **Replies:** 3\ **Last updated:** [July 18, 2026, 5:57pm UTC](https://community.wolfram.com/t/wsri26-running-computational-clinical-trials-on-cellular-automata/27312 "2026-07-18T17:57:44Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (2.12 MB) --- ## [\[WSRI26\] Observer Theory in Cellular Automata](https://community.wolfram.com/t/wsri26-observer-theory-in-cellular-automata/27326)
**Author:** [@mariajoserenza](https://community.wolfram.com/u/mariajoserenza)\ **Replies:** 3\ **Last updated:** [July 18, 2026, 12:08pm UTC](https://community.wolfram.com/t/wsri26-observer-theory-in-cellular-automata/27326 "2026-07-18T12:08:42Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (1.25 MB) --- ## [\[WSRI26\] Quantum Thickening of Reversible Block Cellular Automata: Analyzing Paths from S4 to U(4)](https://community.wolfram.com/t/wsri26-quantum-thickening-of-reversible-block-cellular-automata-analyzing-paths-from-s4-to-u-4/27323)
**Author:** [@dyoldas](https://community.wolfram.com/u/dyoldas)\ **Replies:** 1\ **Last updated:** [July 18, 2026, 11:14am UTC](https://community.wolfram.com/t/wsri26-quantum-thickening-of-reversible-block-cellular-automata-analyzing-paths-from-s4-to-u-4/27323 "2026-07-18T11:14:42Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (17 MB) --- ## [\[WSRI26\] Self-Replication in Rewriting Systems](https://community.wolfram.com/t/wsri26-self-replication-in-rewriting-systems/27319)
**Author:** [@matheo](https://community.wolfram.com/u/matheo)\ **Replies:** 2\ **Last updated:** [July 18, 2026, 12:04am UTC](https://community.wolfram.com/t/wsri26-self-replication-in-rewriting-systems/27319 "2026-07-18T00:04:15Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (18.4 MB) --- ## [\[WSRI26\] Evolutionary Dynamics in Changing Environments](https://community.wolfram.com/t/wsri26-evolutionary-dynamics-in-changing-environments/27321)
**Author:** [@aasthana](https://community.wolfram.com/u/aasthana)\ **Replies:** 1\ **Last updated:** [July 17, 2026, 11:48pm UTC](https://community.wolfram.com/t/wsri26-evolutionary-dynamics-in-changing-environments/27321 "2026-07-17T23:48:07Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (2.67 MB) --- ## [\[WSRI26\] Emergent Continuum Behavior in Reversible Multiway Systems](https://community.wolfram.com/t/wsri26-emergent-continuum-behavior-in-reversible-multiway-systems/27292)
**Author:** [@muhammadawaltahiru](https://community.wolfram.com/u/muhammadawaltahiru)\ **Replies:** 1\ **Last updated:** [July 17, 2026, 10:21pm UTC](https://community.wolfram.com/t/wsri26-emergent-continuum-behavior-in-reversible-multiway-systems/27292 "2026-07-17T22:21:22Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (2.23 MB) --- ## [\[WSRI26\] Inverting the Sitnikov Problem](https://community.wolfram.com/t/wsri26-inverting-the-sitnikov-problem/27313)
**Author:** [@suryansharyan01](https://community.wolfram.com/u/suryansharyan01)\ **Replies:** 1\ **Last updated:** [July 17, 2026, 3:32pm UTC](https://community.wolfram.com/t/wsri26-inverting-the-sitnikov-problem/27313 "2026-07-17T15:32:25Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (2.39 MB) --- ## [\[WSRI26\] Enumerating Sequential Substitution Systems](https://community.wolfram.com/t/wsri26-enumerating-sequential-substitution-systems/27306)
**Author:** [@lagmath13](https://community.wolfram.com/u/lagmath13)\ **Replies:** 1\ **Last updated:** [July 17, 2026, 3:17pm UTC](https://community.wolfram.com/t/wsri26-enumerating-sequential-substitution-systems/27306 "2026-07-17T15:17:39Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (4.73 MB) --- ## [\[WSRI26\] Solving the k-ary Density Classification Task](https://community.wolfram.com/t/wsri26-solving-the-k-ary-density-classification-task/27305)
**Author:** [@ahmeterhanavci](https://community.wolfram.com/u/ahmeterhanavci)\ **Replies:** 2\ **Last updated:** [July 17, 2026, 2:15pm UTC](https://community.wolfram.com/t/wsri26-solving-the-k-ary-density-classification-task/27305 "2026-07-17T14:15:04Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (1.59 MB) --- ## [\[WSRP26\] A model of economic trade using cellular automata](https://community.wolfram.com/t/wsrp26-a-model-of-economic-trade-using-cellular-automata/27184)
**Author:** [@lucasfugate](https://community.wolfram.com/u/lucasfugate)\ **Replies:** 1\ **Last updated:** [July 15, 2026, 5:18pm UTC](https://community.wolfram.com/t/wsrp26-a-model-of-economic-trade-using-cellular-automata/27184 "2026-07-15T17:18:39Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (1.3 MB) [Next page](https://community.wolfram.com/tag/ruliology/8.md?match_all_tags=true&page=1&tags%5B%5D=ruliology)