Acronym  ... 
Name  hyperbolic order 3 heptagonal tiling 
©  
Circumradius  sqrt[3/(1216 cos^{2}(π/7))] = 1.742610 i 
Vertex figure  [7^{3}] 
Dual  x3o7o 
Confer 

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When considering not the limit N → ∞, but rather the finite approximant N = 4, then this represents the (smallest) modwrap, depicted at the above right, which uses only 24 heptagons resp. 56 vertices. That one then is also known as the Klein quartic, i.e. the symmetry, which corresponds to the equation x^{3}y + y^{3} + x = 0. – To the right there is provided a faithful picture of its dual, showing up the connectivity of the 56 triangles. (Spot that it is built from red trips at the tetrahedral vertices and adjoined colorful drilled squaps at the tetrahedral edges.)
Incidence matrix according to Dynkin symbol
o3o7x (N → ∞) . . .  14N  3  3 +++ . . x  2  21N  2 +++ . o7x  7  7  6N
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