great heptagonal tiling,|
hyperbolic order 7/2 heptagon tiling
|Circumradius||sqrt[(1-cos2(π/7))/(3-4 cos2(π/7))] = 0.873057 i|
This hyperbolic star tiling can be obtained from x3o7o, when 7 triangles each are joined into one heptagon each. Every part of the tiling will be covered thrice: every triangle of that related tiling would be used in 3 heptagons each.
The right picture, by courtesy of Nan Ma, dynamically shrinks the heptagons, so that those can be spotted easier. – The left one on the other hand uses colorings instead. Even though, the[[:space:]]starry[[:space:]]central regions of those heptagons do belong to them also.
Like x3o7o this tiling allows for the according mod-wrap too, then being nothing but the "great quart = gaqua" faceting. It thence has the same amount of vertices, corresponding to choosing N=12 below.
Incidence matrix according to Dynkin symbol
o7/2o7x (N → ∞) . . . | 2N | 7 | 7 --------+----+----+--- . . x | 2 | 7N | 2 --------+----+----+--- . o7x | 7 | 7 | 2N
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