Acronym ...
Name hyperbolic order 5 pentagonal tiling
 
 ©
Circumradius sqrt[-sqrt(5)/8] = 0.528686 i
Vertex figure [55]
Dual (selfdual)
Confer
more general:
xPoPo  
general polytopal classes:
regular   noble polytopes  
External
links
wikipedia  

Incidence matrix according to Dynkin symbol

x5o5o   (N → ∞)

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

s4o5o   (N → ∞)

demi( . . . ) | 2N |  5 |  5
--------------+----+----+---
      s4o .     2 | 5N |  2
--------------+----+----+---
sefa( s4o5o ) |  5 |  5 | 2N

starting figure: x4o5o

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