Acronym | sheat |
Name |
stellated heptagonal tiling, hyperbolic order 7 heptagram tiling |
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Circumradius | sqrt[(1-cos2(π/7))/(1-2 cos(π/7))] = 0.484510 i |
Vertex figure | [(7/2)7] |
Dual | o7/2o7x |
Confer |
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External links |
This hyperbolic star tiling can be obtained as a stellation of o3o7x. Every part of the tiling will be covered twice: by the convex central part and by the pointy ones.
The right picture, by courtesy of Nan Ma, dynamically shrinks the heptagrams, so that those can be spotted easier. – The left one on the other hand uses colorings instead. Even though, the centers of the heptagrams do belong to them also.
Like o3o7x this tiling allows for the according mod-wrap too, then being nothing but the "small stellated quart = sisqua". It thence has the same amount of faces, corresponding to choosing N=12 below.
Incidence matrix according to Dynkin symbol
x7/2o7o (N → ∞) . . . | 2N | 7 | 7 --------+----+----+--- x . . | 2 | 7N | 2 --------+----+----+--- x7/2o . | 7 | 7 | 2N
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