Brief
Mathematician Ruslan Mizhaev discovers new eight‑faced genus‑3 polyhedron
The shape, detailed in an arXiv preprint, features every pair of faces sharing at least one edge.
By Felo News Desk · Published
Independent mathematician Ruslan Mizhaev has identified a previously unknown genus‑3 polyhedron that has eight faces, 24 vertices and 26 edges, according to Gizmodo.
The shape is defined by a simple set of integer coordinates and every pair of its faces shares at least one edge; 20 pairs share a single edge and eight pairs share two edges. Mizhaev has made the construction data available in a preprint on arXiv, which has not yet undergone peer review.
Lars Schewe, a mathematician at the University of Edinburgh, told New Scientist that while the discovery does not overturn existing conjectures, it is noteworthy because “constructing these has always been a difficult task.”
Key facts
- Ruslan Mizhaev discovered a new genus‑3 polyhedron with eight faces, 24 vertices and 26 edges. (gizmodo.com)
- Every pair of faces in the polyhedron shares at least one edge; 20 pairs share one edge and eight pairs share two edges. (gizmodo.com)
- Mizhaev posted the construction data in an arXiv preprint that has not been peer‑reviewed. (gizmodo.com)
- Lars Schewe of the University of Edinburgh said constructing such shapes is historically difficult. (gizmodo.com)
Sources
- [1] gizmodo.com — originally reported as “A Mathematician Discovered a New Eight-Faced Shape. It Looks Like a Glitch in Reality”
