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Finite or discrete collections of geometric objects. Packings, tilings, polyhedra, polytopes, intersection, arrangements, rigidity.

0 votes
0 answers
91 views

Number of tetrahedra inside a sphere with boundary A

I understand, that there are some combinatorial problems which are not yet solved regarding gluing triangulations in 3D. At least last time I checked, it was not yet known exactly how many triangulati …
Kregnach's user avatar
  • 183
8 votes
2 answers
837 views

Three-dimensional triangulations with fixed number of vertices

My question is the following: Are there triangulations of $S^3$ which (a) are non-degenerate, (b) have four vertices, and (c) have no edges of degree two? A side question: If one represents this tr …
Kregnach's user avatar
  • 183
3 votes
0 answers
93 views

Minimal set of geometric moves in various equivalence classes of triangulated geometries

I would like to get to know what is the minimal set of geometric changes "aka. moves" (topology preserving modifications / Pachner moves / bistellar moves) that can transform any 3-dimensional triangu …
Kregnach's user avatar
  • 183