# \#discrete-mathematics
**URL:** https://community.wolfram.com/tag/discrete-mathematics/43.md
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## [\[WSRP26\] 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 ↗
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## [Winners of the OEIS 400K milestone contest](https://community.wolfram.com/t/winners-of-the-oeis-400k-milestone-contest/28423)
**Author:** [@edp](https://community.wolfram.com/u/edp)\
**Replies:** 1\
**Last updated:** [October 26, 2026, 9:32pm UTC](https://community.wolfram.com/t/winners-of-the-oeis-400k-milestone-contest/28423 "2026-10-26T21:32:05Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (1.3 MB)
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## [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 ↗
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## [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…
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## [Devices of difference in games of complementarity](https://community.wolfram.com/t/devices-of-difference-in-games-of-complementarity/28337)
**Author:** [@pharrald](https://community.wolfram.com/u/pharrald)\
**Replies:** 1\
**Last updated:** [October 14, 2026, 7:09pm UTC](https://community.wolfram.com/t/devices-of-difference-in-games-of-complementarity/28337 "2026-10-14T19:09:21Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (3.0 MB)
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## [An introduction to multivariate zeta functions](https://community.wolfram.com/t/an-introduction-to-multivariate-zeta-functions/28317)
**Author:** [@jayantap](https://community.wolfram.com/u/jayantap)\
**Replies:** 1\
**Last updated:** [October 12, 2026, 3:26pm UTC](https://community.wolfram.com/t/an-introduction-to-multivariate-zeta-functions/28317 "2026-10-12T15:26:24Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (2.7 MB)
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## [AILAND: topological invariants in protein folding and visuo-postural reset](https://community.wolfram.com/t/ailand-topological-invariants-in-protein-folding-and-visuo-postural-reset/28163)
**Author:** [@Adamoli](https://community.wolfram.com/u/Adamoli)\
**Replies:** 1\
**Last updated:** [October 9, 2026, 11:48am UTC](https://community.wolfram.com/t/ailand-topological-invariants-in-protein-folding-and-visuo-postural-reset/28163 "2026-10-09T11:48:01Z")
Within the H\_0 framework, complex dynamical systems — whether polypeptide chains or neuromuscular feedback loops — are represented as high-dimensional hypergraphs. Structural relaxation corresponds to a topological contr…
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## [Monoidal alphabets for generalized harmonic sums](https://community.wolfram.com/t/monoidal-alphabets-for-generalized-harmonic-sums/28280)
**Author:** [@jayantap](https://community.wolfram.com/u/jayantap)\
**Replies:** 1\
**Last updated:** [October 7, 2026, 7:52am UTC](https://community.wolfram.com/t/monoidal-alphabets-for-generalized-harmonic-sums/28280 "2026-10-07T07:52:53Z")
Open in Wolfram Cloud ↗ AffinePolyBaseSupport.wl (13.9 KB) DOWNLOAD-DESKTOP-NOTEBOOK.nb (598.3 KB)
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## [Pólya's urn: Martingales and limiting distribution](https://community.wolfram.com/t/polyas-urn-martingales-and-limiting-distribution/28231)
**Author:** [@diegoferramos0493](https://community.wolfram.com/u/diegoferramos0493)\
**Replies:** 1\
**Last updated:** [October 3, 2026, 5:18pm UTC](https://community.wolfram.com/t/polyas-urn-martingales-and-limiting-distribution/28231 "2026-10-03T17:18:40Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (7.8 MB)
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## [Mathematical Games: filling space with similar parts](https://community.wolfram.com/t/mathematical-games-filling-space-with-similar-parts/28170)
**Author:** [@edp](https://community.wolfram.com/u/edp)\
**Replies:** 1\
**Last updated:** [September 24, 2026, 6:08pm UTC](https://community.wolfram.com/t/mathematical-games-filling-space-with-similar-parts/28170 "2026-09-24T18:08:00Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (6.9 MB)
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## [Hadamard matrix of order 668](https://community.wolfram.com/t/hadamard-matrix-of-order-668/28083)
**Author:** [@edp](https://community.wolfram.com/u/edp)\
**Replies:** 1\
**Last updated:** [September 22, 2026, 7:55pm UTC](https://community.wolfram.com/t/hadamard-matrix-of-order-668/28083 "2026-09-22T19:55:03Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (212.1 KB)
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## [Is my new mean for elementary asymmetric functions with singularities existent and non-equivalent to their Cauchy Principal Value?](https://community.wolfram.com/t/is-my-new-mean-for-elementary-asymmetric-functions-with-singularities-existent-and-non-equivalent-to-their-cauchy-principal-value/28077)
**Author:** [@bharathk98](https://community.wolfram.com/u/bharathk98)\
**Replies:** 3\
**Last updated:** [September 22, 2026, 7:24pm UTC](https://community.wolfram.com/t/is-my-new-mean-for-elementary-asymmetric-functions-with-singularities-existent-and-non-equivalent-to-their-cauchy-principal-value/28077 "2026-09-22T19:24:42Z")
Motivations First Motivation: I got a “new mean” by indirectly attempting to establish the relationship between the uniform probability measure and normalized Hausdorff measure. This is the third open problem in Section …
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## [Projective plane crossing number in MathWorld page](https://community.wolfram.com/t/projective-plane-crossing-number-in-mathworld-page/27488)
**Author:** [@math4klass](https://community.wolfram.com/u/math4klass)\
**Replies:** 5\
**Last updated:** [September 2, 2026, 11:31am UTC](https://community.wolfram.com/t/projective-plane-crossing-number-in-mathworld-page/27488 "2026-09-02T11:31:59Z")
Hello, everyone! In Projective Plane Crossing Number -- from Wolfram MathWorld claims that “All graphs with graph crossing number 0 or 1 (i.e., planar and singlecross graphs) have projective plane crossing number 0,” bu…
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## [Isolated critical points for Scherk-Schwarz compactifications of M-theory](https://community.wolfram.com/t/isolated-critical-points-for-scherk-schwarz-compactifications-of-m-theory/27506)
**Author:** [@zbaykara](https://community.wolfram.com/u/zbaykara)\
**Replies:** 1\
**Last updated:** [August 31, 2026, 6:38pm UTC](https://community.wolfram.com/t/isolated-critical-points-for-scherk-schwarz-compactifications-of-m-theory/27506 "2026-08-31T18:38:10Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (1.14 MB)
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## [The Hippasus Primes](https://community.wolfram.com/t/the-hippasus-primes/9636)
**Author:** [@edp](https://community.wolfram.com/u/edp)\
**Replies:** 6\
**Last updated:** [August 30, 2026, 5:48pm UTC](https://community.wolfram.com/t/the-hippasus-primes/9636 "2026-08-30T17:48:18Z")
According to legend, when Hippasus proved the irrationality of \\sqrt2, he was thrown off a ship. Poor guy. .. Gauss discovered that the numbers 1, 2, 3, 7, 11, 19, 43, 67, 163 led to unique factorization domains, a…
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## [Mathematical Games: colors and combinatorics](https://community.wolfram.com/t/mathematical-games-colors-and-combinatorics/27491)
**Author:** [@edp](https://community.wolfram.com/u/edp)\
**Replies:** 1\
**Last updated:** [August 28, 2026, 1:08pm UTC](https://community.wolfram.com/t/mathematical-games-colors-and-combinatorics/27491 "2026-08-28T13:08:13Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (12.8 MB)
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## [Visualize OEIS A001333 Pell-Lucas numbers with NestGraph and NestTree](https://community.wolfram.com/t/visualize-oeis-a001333-pell-lucas-numbers-with-nestgraph-and-nesttree/27431)
**Author:** [@shenghuiy](https://community.wolfram.com/u/shenghuiy)\
**Replies:** 1\
**Last updated:** [August 11, 2026, 5:33pm UTC](https://community.wolfram.com/t/visualize-oeis-a001333-pell-lucas-numbers-with-nestgraph-and-nesttree/27431 "2026-08-11T17:33:04Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (562 KB)
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## [\[WSRI26\] 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)
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## [How to make learning Wolfram Language more fun](https://community.wolfram.com/t/how-to-make-learning-wolfram-language-more-fun/27290)
**Author:** [@robertcowen](https://community.wolfram.com/u/robertcowen)\
**Replies:** 1\
**Last updated:** [August 6, 2026, 4:32pm UTC](https://community.wolfram.com/t/how-to-make-learning-wolfram-language-more-fun/27290 "2026-08-06T16:32:53Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (854 KB)
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## [\[WSRI26\] 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)
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## [\[WSRI26\] 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)
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## [\[WSRI26\] 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)
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## [\[WSRI26\] 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)
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## [\[WSRI26\] 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)
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## [\[WSRI26\] Anisotropy of Space From Discretization](https://community.wolfram.com/t/wsri26-anisotropy-of-space-from-discretization/27310)
**Author:** [@myoussef](https://community.wolfram.com/u/myoussef)\
**Replies:** 1\
**Last updated:** [July 17, 2026, 5:12pm UTC](https://community.wolfram.com/t/wsri26-anisotropy-of-space-from-discretization/27310 "2026-07-17T17:12:06Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (4.23 MB)
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## [\[WSRI26\] 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)
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## [\[WSRI26\] 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)
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## [Get snarky: the cycle double cover conjecture -- an AI proof?](https://community.wolfram.com/t/get-snarky-the-cycle-double-cover-conjecture-an-ai-proof/27275)
**Author:** [@edp](https://community.wolfram.com/u/edp)\
**Replies:** 1\
**Last updated:** [July 15, 2026, 2:53pm UTC](https://community.wolfram.com/t/get-snarky-the-cycle-double-cover-conjecture-an-ai-proof/27275 "2026-07-15T14:53:04Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (5.82 MB)
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## [\[WSRP26\] Analyzing properties and behaviors of S family nestedly recursive functions](https://community.wolfram.com/t/wsrp26-analyzing-properties-and-behaviors-of-s-family-nestedly-recursive-functions/27232)
**Author:** [@gracelync24](https://community.wolfram.com/u/gracelync24)\
**Replies:** 1\
**Last updated:** [July 13, 2026, 1:16pm UTC](https://community.wolfram.com/t/wsrp26-analyzing-properties-and-behaviors-of-s-family-nestedly-recursive-functions/27232 "2026-07-13T13:16:55Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (10.5 MB)
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## [\[WSRP26\] Properties of discrete balls in lattices and grids](https://community.wolfram.com/t/wsrp26-properties-of-discrete-balls-in-lattices-and-grids/27223)
**Author:** [@pjasso](https://community.wolfram.com/u/pjasso)\
**Replies:** 1\
**Last updated:** [July 12, 2026, 12:21pm UTC](https://community.wolfram.com/t/wsrp26-properties-of-discrete-balls-in-lattices-and-grids/27223 "2026-07-12T12:21:10Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (2.1 MB)
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