Acronym ...
Name hyperbolic order 4 pentagonal tiling
 
 ©
Circumradius sqrt[-(1+sqrt(5))]/2 = 0.899454 i
Vertex figure [54]
Dual x4o5o
Confer
combinatorical relatives:
{6}-halved x6o4o   {8}-quartered x8o4o  
general polytopal classes:
regular   noble polytopes  
External
links
wikipedia

Note that x6o4o allows for a consistent halving of hexagons and x8o4o allows for a consistent quartering of octagons, such as to derive a combinatorical variants of x5o4o. Even so, here are the pentagons regular, while there those would have different edge lengths (being calculated there) but still corner angles of 90° throughout.


Incidence matrix according to Dynkin symbol

o4o5x   (N → ∞)

. . . | 5N |   4 |  4
------+----+-----+---
. . x |  2 | 10N |  2
------+----+-----+---
. o5x |  5 |   5 | 4N

o5x5o   (N → ∞)

. . . | 5N |   4 |  2  2
------+----+-----+------
. x . |  2 | 10N |  1  1
------+----+-----+------
o5x . |  5 |   5 | 2N  *
. x5o |  5 |   5 |  * 2N

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