Acronym ...
Name hyperbolic order 4 dodecahedral tesselation
 
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Circumradius sqrt[-(1+sqrt(5))]/2 = 0.899454 i
Vertex figure
 ©
Dual x4o3o5o
Confer
general polytopal classes:
regular   noble polytopes  
External
links
wikipedia

Incidence matrix according to Dynkin symbol

o4o3o5x   (N → ∞)

. . . . | 5N    6 |  12 |  8
--------+----+-----+-----+---
. . . x |  2 | 15N |   4 |  4
--------+----+-----+-----+---
. . o5x |  5 |   5 | 12N |  2
--------+----+-----+-----+---
. o3o5x  20 |  30 |  12 | 2N

o3o3o *b5x   (N → ∞)

. . .    . | 5N    6 |  12 | 4 4
-----------+----+-----+-----+----
. . .    x |  2 | 15N |   4 | 2 2
-----------+----+-----+-----+----
. o . *b5x |  5 |   5 | 12N | 1 1
-----------+----+-----+-----+----
o3o . *b5x  20 |  30 |  12 | N *
. o3o *b5x  20 |  30 |  12 | * N

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