# \#geometry **URL:** https://community.wolfram.com/tag/geometry/46.md [Latest](https://community.wolfram.com/latest.md) · [Categories](https://community.wolfram.com/categories.md) · [Tags](https://community.wolfram.com/tags.md) --- ## [The Plastic Pentagon - A new tile system](https://community.wolfram.com/t/the-plastic-pentagon-a-new-tile-system/28451)
**Author:** [@edp](https://community.wolfram.com/u/edp)\ **Replies:** 2\ **Last updated:** [October 31, 2026, 2:07pm UTC](https://community.wolfram.com/t/the-plastic-pentagon-a-new-tile-system/28451 "2026-10-31T14:07:51Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (5.8 MB) --- ## [From a rubber face to a hanging curtain](https://community.wolfram.com/t/from-a-rubber-face-to-a-hanging-curtain/28452)
**Author:** [@mthiel](https://community.wolfram.com/u/mthiel)\ **Replies:** 0\ **Last updated:** [October 30, 2026, 10:16pm UTC](https://community.wolfram.com/t/from-a-rubber-face-to-a-hanging-curtain/28452 "2026-10-30T22:16:44Z")
Open in Wolfram Cloud ↗ Download the complete interactive notebook: FaceDistortionToCurtain.nb (7.3 MB) Readable Wolfram Language source (optional): ElasticPortrait.wl (13.0 KB) ElasticL… --- ## [Elliptic curves in Weierstrass normal form](https://community.wolfram.com/t/elliptic-curves-in-weierstrass-normal-form/28424)
**Author:** [@p6majo](https://community.wolfram.com/u/p6majo)\ **Replies:** 1\ **Last updated:** [October 27, 2026, 7:14pm UTC](https://community.wolfram.com/t/elliptic-curves-in-weierstrass-normal-form/28424 "2026-10-27T19:14:14Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (1.6 MB) --- ## [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) --- ## [Light that twists: optical skyrmions, topological geometry, and photonic engineering](https://community.wolfram.com/t/light-that-twists-optical-skyrmions-topological-geometry-and-photonic-engineering/28411)
**Author:** [@rihaan2901](https://community.wolfram.com/u/rihaan2901)\ **Replies:** 1\ **Last updated:** [October 26, 2026, 4:32pm UTC](https://community.wolfram.com/t/light-that-twists-optical-skyrmions-topological-geometry-and-photonic-engineering/28411 "2026-10-26T16:32:56Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (6.2 MB) --- ## [Sphere-filling curve 2: scalable self-avoiding paths on a sphere via traveling salesman tours, geodesic polyhedra and Hamiltonian cycles](https://community.wolfram.com/t/sphere-filling-curve-2-scalable-self-avoiding-paths-on-a-sphere-via-traveling-salesman-tours-geodesic-polyhedra-and-hamiltonian-cycles/28398)
**Author:** [@ivanovdenis710616](https://community.wolfram.com/u/ivanovdenis710616)\ **Replies:** 1\ **Last updated:** [October 23, 2026, 4:38pm UTC](https://community.wolfram.com/t/sphere-filling-curve-2-scalable-self-avoiding-paths-on-a-sphere-via-traveling-salesman-tours-geodesic-polyhedra-and-hamiltonian-cycles/28398 "2026-10-23T16:38:39Z")
Intro In the previous post, we construct a special example of sphere filling curve. However, we noted that it (as many other known examples) are not truly scalable and self-similar. Such constructions simply copy frag… --- ## [Mathematical Games: sporadic similar triangles](https://community.wolfram.com/t/mathematical-games-sporadic-similar-triangles/28388)
**Author:** [@edp](https://community.wolfram.com/u/edp)\ **Replies:** 1\ **Last updated:** [October 22, 2026, 3:11pm UTC](https://community.wolfram.com/t/mathematical-games-sporadic-similar-triangles/28388 "2026-10-22T15:11:41Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (13.4 MB) --- ## [Dandeline spheres parabola case final version](https://community.wolfram.com/t/dandeline-spheres-parabola-case-final-version/28383)
**Author:** [@alatorre](https://community.wolfram.com/u/alatorre)\ **Replies:** 0\ **Last updated:** [October 21, 2026, 4:45pm UTC](https://community.wolfram.com/t/dandeline-spheres-parabola-case-final-version/28383 "2026-10-21T16:45:52Z")
Open in Wolfram Cloud ↗ --- ## [Dentelée of a curve: computational geometry methods for curvilinear edge analysis](https://community.wolfram.com/t/dentelee-of-a-curve-computational-geometry-methods-for-curvilinear-edge-analysis/28375)
**Author:** [@alatorre](https://community.wolfram.com/u/alatorre)\ **Replies:** 0\ **Last updated:** [October 20, 2026, 3:53pm UTC](https://community.wolfram.com/t/dentelee-of-a-curve-computational-geometry-methods-for-curvilinear-edge-analysis/28375 "2026-10-20T15:53:33Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (73.3 KB) --- ## [Circular hyperbolic cubic: a geometric envelope construction](https://community.wolfram.com/t/circular-hyperbolic-cubic-a-geometric-envelope-construction/28370)
**Author:** [@alatorre](https://community.wolfram.com/u/alatorre)\ **Replies:** 0\ **Last updated:** [October 19, 2026, 6:48pm UTC](https://community.wolfram.com/t/circular-hyperbolic-cubic-a-geometric-envelope-construction/28370 "2026-10-19T18:48:04Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (91.9 KB) --- ## [Penrose stairs or impossible staircase: formation from real 3D object by projection](https://community.wolfram.com/t/penrose-stairs-or-impossible-staircase-formation-from-real-3d-object-by-projection/27069)
**Author:** [@Vitaliyk](https://community.wolfram.com/u/Vitaliyk)\ **Replies:** 1\ **Last updated:** [October 19, 2026, 4:11pm UTC](https://community.wolfram.com/t/penrose-stairs-or-impossible-staircase-formation-from-real-3d-object-by-projection/27069 "2026-10-19T16:11:25Z")
From this discussion some minimal code variants: 1 d = Join\[Table\[{0, -1, 0}, 6\], Table\[{1, 0, 0}, 8\], Table\[{0, 1, 0}, 4\], {{-1, 0, 0}}\]; c = FoldList\[Cuboid\[#1\[\[1\]\] + #2, #1\[\[2\]\] + #2 + {0, 0, 0.5}\] &, Cuboid\[{0, … --- ## [Three geometric constructions of the Devil's curve](https://community.wolfram.com/t/three-geometric-constructions-of-the-devils-curve/28360)
**Author:** [@alatorre](https://community.wolfram.com/u/alatorre)\ **Replies:** 0\ **Last updated:** [October 18, 2026, 4:20pm UTC](https://community.wolfram.com/t/three-geometric-constructions-of-the-devils-curve/28360 "2026-10-18T16:20:19Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (214.0 KB) --- ## [Hügelschäffer Egg: construction of an egg-shaped curve and its surface of revolution](https://community.wolfram.com/t/hugelschaffer-egg-construction-of-an-egg-shaped-curve-and-its-surface-of-revolution/28340)
**Author:** [@alatorre](https://community.wolfram.com/u/alatorre)\ **Replies:** 1\ **Last updated:** [October 15, 2026, 4:50pm UTC](https://community.wolfram.com/t/hugelschaffer-egg-construction-of-an-egg-shaped-curve-and-its-surface-of-revolution/28340 "2026-10-15T16:50:40Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (243.5 KB) --- ## [Packing an ellipse inside an isosceles triangle](https://community.wolfram.com/t/packing-an-ellipse-inside-an-isosceles-triangle/28339)
**Author:** [@fkampas](https://community.wolfram.com/u/fkampas)\ **Replies:** 0\ **Last updated:** [October 14, 2026, 7:30pm UTC](https://community.wolfram.com/t/packing-an-ellipse-inside-an-isosceles-triangle/28339 "2026-10-14T19:30:00Z")
Open in Wolfram Cloud ↗ --- ## [The quantum cartographer: mapping curvature, topology, and geodesics in quantum state space](https://community.wolfram.com/t/the-quantum-cartographer-mapping-curvature-topology-and-geodesics-in-quantum-state-space/28327)
**Author:** [@rihaan2901](https://community.wolfram.com/u/rihaan2901)\ **Replies:** 1\ **Last updated:** [October 13, 2026, 4:32pm UTC](https://community.wolfram.com/t/the-quantum-cartographer-mapping-curvature-topology-and-geodesics-in-quantum-state-space/28327 "2026-10-13T16:32:49Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (5.1 MB) --- ## [The Delanges trisectrix and its inversion to Dürer's folium](https://community.wolfram.com/t/the-delanges-trisectrix-and-its-inversion-to-durers-folium/28324)
**Author:** [@alatorre](https://community.wolfram.com/u/alatorre)\ **Replies:** 0\ **Last updated:** [October 12, 2026, 10:18pm UTC](https://community.wolfram.com/t/the-delanges-trisectrix-and-its-inversion-to-durers-folium/28324 "2026-10-12T22:18:57Z")
Open in Wolfram Cloud ↗ --- ## [The physical mechanics of discrete hypergraphs: TTDS framework and the resolution of quantum non-locality](https://community.wolfram.com/t/the-physical-mechanics-of-discrete-hypergraphs-ttds-framework-and-the-resolution-of-quantum-non-locality/28315)
**Author:** [@CZERNEK](https://community.wolfram.com/u/CZERNEK)\ **Replies:** 0\ **Last updated:** [October 12, 2026, 8:53am UTC](https://community.wolfram.com/t/the-physical-mechanics-of-discrete-hypergraphs-ttds-framework-and-the-resolution-of-quantum-non-locality/28315 "2026-10-12T08:53:11Z")
Official Preprint DOI: 10.5281/zenodo.23301937 Link: Topological Theory of Deformed Space (TTDS): A Discrete Mechanical Framework for Gravity and Quantum Wave Kinematics. Overview The Topological Theory of Deformed Spac… --- ## [Albert Dürer folium](https://community.wolfram.com/t/albert-durer-folium/28312)
**Author:** [@alatorre](https://community.wolfram.com/u/alatorre)\ **Replies:** 0\ **Last updated:** [October 11, 2026, 10:05pm UTC](https://community.wolfram.com/t/albert-durer-folium/28312 "2026-10-11T22:05:15Z")
Open in Wolfram Cloud ↗ --- ## [Triangle inside-out is square: looped 2D-3D transform for optimal Dudeney’s dissection](https://community.wolfram.com/t/triangle-inside-out-is-square-looped-2d-3d-transform-for-optimal-dudeney-s-dissection/28274)
**Author:** [@Vitaliyk](https://community.wolfram.com/u/Vitaliyk)\ **Replies:** 1\ **Last updated:** [October 6, 2026, 1:45pm UTC](https://community.wolfram.com/t/triangle-inside-out-is-square-looped-2d-3d-transform-for-optimal-dudeney-s-dissection/28274 "2026-10-06T13:45:32Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (91.9 KB) --- ## [Hügelschäffer egg](https://community.wolfram.com/t/hugelschaffer-egg/28264)
**Author:** [@alatorre](https://community.wolfram.com/u/alatorre)\ **Replies:** 0\ **Last updated:** [October 5, 2026, 2:59pm UTC](https://community.wolfram.com/t/hugelschaffer-egg/28264 "2026-10-05T14:59:16Z")
Open in Wolfram Cloud ↗ --- ## [Sparrow problem](https://community.wolfram.com/t/sparrow-problem/28251)
**Author:** [@alatorre](https://community.wolfram.com/u/alatorre)\ **Replies:** 0\ **Last updated:** [October 4, 2026, 3:21pm UTC](https://community.wolfram.com/t/sparrow-problem/28251 "2026-10-04T15:21:29Z")
Open in Wolfram Cloud ↗ --- ## [Directional derivatives and movement on the air](https://community.wolfram.com/t/directional-derivatives-and-movement-on-the-air/28243)
**Author:** [@alatorre](https://community.wolfram.com/u/alatorre)\ **Replies:** 0\ **Last updated:** [October 3, 2026, 10:51pm UTC](https://community.wolfram.com/t/directional-derivatives-and-movement-on-the-air/28243 "2026-10-03T22:51:08Z")
Open in Wolfram Cloud ↗ --- ## [Directional derivatives and gradient](https://community.wolfram.com/t/directional-derivatives-and-gradient/28234)
**Author:** [@alatorre](https://community.wolfram.com/u/alatorre)\ **Replies:** 0\ **Last updated:** [October 2, 2026, 1:57pm UTC](https://community.wolfram.com/t/directional-derivatives-and-gradient/28234 "2026-10-02T13:57:54Z")
Open in Wolfram Cloud ↗ --- ## [Majorana honeycomb: Kitaev spin liquid, topological bands, and Majorana modes](https://community.wolfram.com/t/majorana-honeycomb-kitaev-spin-liquid-topological-bands-and-majorana-modes/28212)
**Author:** [@rihaan2901](https://community.wolfram.com/u/rihaan2901)\ **Replies:** 1\ **Last updated:** [October 1, 2026, 10:52pm UTC](https://community.wolfram.com/t/majorana-honeycomb-kitaev-spin-liquid-topological-bands-and-majorana-modes/28212 "2026-10-01T22:52:07Z")
--- ## [Derived from a scalar field](https://community.wolfram.com/t/derived-from-a-scalar-field/28226)
**Author:** [@alatorre](https://community.wolfram.com/u/alatorre)\ **Replies:** 0\ **Last updated:** [October 1, 2026, 1:23pm UTC](https://community.wolfram.com/t/derived-from-a-scalar-field/28226 "2026-10-01T13:23:10Z")
Open in Wolfram Cloud ↗ --- ## [Growth character of scalar field](https://community.wolfram.com/t/growth-character-of-scalar-field/28220)
**Author:** [@alatorre](https://community.wolfram.com/u/alatorre)\ **Replies:** 0\ **Last updated:** [September 30, 2026, 2:05pm UTC](https://community.wolfram.com/t/growth-character-of-scalar-field/28220 "2026-09-30T14:05:38Z")
Open in Wolfram Cloud ↗ --- ## [Sphere-filling curve 1: generating continuous self-avoiding paths on geodesic polyhedra via dual graph Hamiltonian cycles](https://community.wolfram.com/t/sphere-filling-curve-1-generating-continuous-self-avoiding-paths-on-geodesic-polyhedra-via-dual-graph-hamiltonian-cycles/28210)
**Author:** [@ivanovdenis710616](https://community.wolfram.com/u/ivanovdenis710616)\ **Replies:** 1\ **Last updated:** [September 29, 2026, 4:31pm UTC](https://community.wolfram.com/t/sphere-filling-curve-1-generating-continuous-self-avoiding-paths-on-geodesic-polyhedra-via-dual-graph-hamiltonian-cycles/28210 "2026-09-29T16:31:13Z")
Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (4.7 MB) --- ## [Hypocycloids and epicycloids](https://community.wolfram.com/t/hypocycloids-and-epicycloids/28208)
**Author:** [@alatorre](https://community.wolfram.com/u/alatorre)\ **Replies:** 0\ **Last updated:** [September 29, 2026, 1:25pm UTC](https://community.wolfram.com/t/hypocycloids-and-epicycloids/28208 "2026-09-29T13:25:50Z")
Open in Wolfram Cloud ↗ --- ## [Area of a revolution surface formed by turning a section of a parabola](https://community.wolfram.com/t/area-of-a-revolution-surface-formed-by-turning-a-section-of-a-parabola/28197)
**Author:** [@alatorre](https://community.wolfram.com/u/alatorre)\ **Replies:** 0\ **Last updated:** [September 28, 2026, 2:33pm UTC](https://community.wolfram.com/t/area-of-a-revolution-surface-formed-by-turning-a-section-of-a-parabola/28197 "2026-09-28T14:33:20Z")
Open in Wolfram Cloud ↗ --- ## [Nephroid (kidney shaped curve)](https://community.wolfram.com/t/nephroid-kidney-shaped-curve/28185)
**Author:** [@alatorre](https://community.wolfram.com/u/alatorre)\ **Replies:** 0\ **Last updated:** [September 27, 2026, 8:48pm UTC](https://community.wolfram.com/t/nephroid-kidney-shaped-curve/28185 "2026-09-27T20:48:17Z")
Open in Wolfram Cloud ↗ [Next page](https://community.wolfram.com/tag/geometry/46.md?match_all_tags=true&page=1&tags%5B%5D=geometry)