Acronym ...
Name hyperbolic order 10 pentagonal tiling
Circumradius sqrt[(5-3 sqrt(5))/40] = 0.206652 i
Vertex figure [510]
Dual o5o10x
Confer
general polytopal classes:
regular   noble polytopes  

Incidence matrix according to Dynkin symbol

x5o10o   (N → ∞)

. .  . | N | 10 | 10
-------+---+----+---
x .  . | 2 | 5N |  2
-------+---+----+---
x5o  . | 5 |  5 | 2N

x5o5o5*a   (N → ∞)

. . .    | N | 10 | 5 5
---------+---+----+----
x . .    | 2 | 5N | 1 1
---------+---+----+----
x5o .    | 5 |  5 | N *
x . o5*a | 5 |  5 | * N

o5o10s   (N → ∞)

demi( . .  . ) | N | 10 | 5 5
---------------+---+----+----
sefa( . o10s ) | 2 | 5N | 1 1
---------------+---+----+----
      . o10s   | 5 |  5 | N *
sefa( o5o10s ) | 5 |  5 | * N

starting figure: o5o10x

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