We show that neither the 3-ball nor the solid torus admits a triangulation in which (i) every vertex is on the boundary, and (ii) every tetrahedron has exactly one triangle on the boundary. Such triangulations are relevant to an unresolved conjecture of Perles.
✦ LIBER ✦
The rhombidodecahedral tessellation of 3-space and a particular 15-vertex triangulation of the 3-dimensional torus
✍ Scribed by Wolfgang Kühnel; Gunter Lassmann
- Book ID
- 105105566
- Publisher
- Springer
- Year
- 1984
- Tongue
- English
- Weight
- 672 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0025-2611
No coin nor oath required. For personal study only.
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