A Mathematician Discovered a New Eight-Faced Shape. It Looks Like a Glitch in Reality
If you’ve ever tried 3D modeling (unsuccessfully, like me), you might have unintentionally added so many vertices that you end up with an irreparable mesh of spiky sides and lines. At first glance, that’s what the genus-3 polyhedron looks like—but unlike bad Blender experiments, this is an entirely new shape with big geometric significance. Using a set of simple integer coordinates, independent mathematician Ruslan Mizhaev has found a way to create an 8-faced shape where every pair of faces shares at least one edge.
- ▪If you’ve ever tried 3D modeling (unsuccessfully, like me), you might have unintentionally added so many vertices that you end up with an irreparable mesh of spiky sides and lines.
- ▪At first glance, that’s what the genus-3 polyhedron looks like—but unlike bad Blender experiments, this is an entirely new shape with big geometric significance.
- ▪Using a set of simple integer coordinates, independent mathematician Ruslan Mizhaev has found a way to create an 8-faced shape where every pair of faces shares at least one edge.
Gizmodo files mainly under tech. We currently carry 1,430 of its stories.
Story provenance
Source · retrieval · rights · ranking — open for full record
inspect →
Story provenance
Attribution is not the same as permission. This drawer separates discovery metadata, excerpts, WeSearch-generated summaries, reuse status, and whether the publisher receives the visit. Nothing here claims a legal grant the publisher has not made.
Record
| Original publisher | Gizmodo |
| Canonical URL | https://gizmodo.com/a-mathematician-discovered-a-new-eight-faced-shape-it-looks-like-a-glitch-in-reality-2000818219 |
| Publication time | Tue, 29 Sep 2026 12:35:37 +0000 |
| Retrieval time | 2026-09-29T12:41:21.848Z |
| Last seen | 2026-09-29T12:41:21.848Z |
| Headline source | Publisher (no WeSearch rewrite) |
| Excerpt source | publisher body |
| Excerpt method | First ~120 words (~800 chars) of extracted publisher body, fair-use limited. |
| Summary | WeSearch · cerebras-chat (WeSearch summarizer) |
| Summary source text | contentText |
| Citation coverage | Summary is a WeSearch-generated derivative; primary citation is the original publisher URL. |
| Cluster | Zh42-EO_16iW · 1 stories |
| Cluster logic | Grouped by semantic title/content similarity across sources within a rolling window. Same-publisher template collisions are excluded from coverage comparison. |
| Ranking reason | Story pages are not engagement-ranked. Hub feeds use recency, with optional source-diversified chronological ordering (cap consecutive stories per source). No personalized ranking. |
| Publisher visit | Yes — open original |
| Substitutes article? | No — link-out required for full text |
Rights status (four layers)
WeSearch handling by dimension
| Indexing | May the item be indexed (stored, ranked, made findable)? | Allowed |
| Snippet | May a short excerpt of the publisher's text be shown? | Allowed |
| AI summary | May WeSearch generate its own short summary of the article? | Limited |
| Retrieval / RAG | May the content be exposed for third-party retrieval-augmented generation? | Not asserted |
| Model training | May the content be used to train AI models? | Not asserted |
| Commercial reuse | May the content be reused commercially? | Not permitted |
Basis: Derived from the published RSS/Atom feed. Contact: [email protected]. Reviewed: 2026-07-24.
Opening excerpt (first ~120 words) tap to expand
If you’ve ever tried 3D modeling (unsuccessfully, like me), you might have unintentionally added so many vertices that you end up with an irreparable mesh of spiky sides and lines. At first glance, that’s what the genus-3 polyhedron looks like—but unlike bad Blender experiments, this is an entirely new shape with big geometric significance. Using a set of simple integer coordinates, independent mathematician Ruslan Mizhaev has found a way to create an 8-faced shape where every pair of faces shares at least one edge. Genus-3 polyhedron has 24 vertices and 26 edges, with 3 faces meeting at every vertex. 20 pairs of faces share 1 edge, whereas 8 pairs share 2. Mizhaev provides the data needed to reproduce the shape in a preprint yet to be peer-reviewed, currently available on arXiv.
…
Excerpt limited to ~120 words for fair-use compliance. The full article is at Gizmodo.
Discussion
0 commentsMore from Gizmodo
