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Results tagged with triangulations
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user 135618
0
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0
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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. … Is it known how many triangulations are there inside a triangulated sphere with boundary $A$? …
- 183
1
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84
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Number of polyhedral covers of a triangulation of $S^2$
Under polygonal cover, I mean, you take a particular triangulations of the sphere with $N$ triangles, then select a few connected triangles and "mark them" as a polygon, then move to the next ones. …
- 183
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125
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Naming convention for different type of triangulations
However, one can say, that the endpoints of an edge can be the same vertex, and in that case one introduces tadpoles in the dual-graph of the triangulations, creating degenerate triangulations. … Could someone clarify the proper "naming convention" of the type of triangulations (together with an example, if it differs from the three classes of mine). …
- 183
8
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2
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837
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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? … We use labeled triangulations of $S^3$. We allow adjacent tetrahedra to share multiple faces. …
- 183
3
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0
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93
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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 triangulations …
- 183