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Results tagged with tiling
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user 2672
For questions about mathematical tiling.
4
votes
1
answer
167
views
Absolute and relative tilings of the hyperbolic plane
In Conway's Symmetries of Things on p. 265 I found these two tilings of the hyperbolic plane with the same vertex configuration $(3.5.3.5.3)$ (resp. vertex figure, as Conway calls it).
The differenc …
- 9,720
0
votes
0
answers
139
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Graph theory: Closed neighourhoods and generalized clustering coefficients
The neighbourhood of node $v$ in graph $G$ is the subgraph of $G$ induced by all vertices adjacent to $v$.
The number of edges between neighbours divided by the number of pairs of neighbours is th …
- 9,720
3
votes
0
answers
83
views
Distance spectra of uniform tilings
Let a uniform tiling be defined by a vertex configuration $(n_1.n_2.\cdots.n_k)^m$, which is either spherical, Euclidean or hyperbolic. … Let the distance spectrum $\delta$ of such a tiling be the vector with $\delta_d$ = number of vertices at distance $d$ (which is by assumption the same for all vertices). …
- 9,720
4
votes
1
answer
279
views
Structures for random graphs with structure
This has to do with the question if all vertex configurations (in the sense of geometry) which don't define a periodic tiling of the sphere (i.e. a regular polyhedron) define a periodic tiling of the Euclidean …
- 9,720