Acronym ...
Name hyperbolic alternated order 5 cubical tesselation
 
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Circumradius sqrt[(1-sqrt(5))/8] = 0.393076 i
Vertex figure
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Incidence matrix according to Dynkin symbol

x3o3o *b5o   (N → ∞)

. . .    . |  N   30 |  60 | 20 12
-----------+----+-----+-----+------
x . .    . |  2 | 15N |   4 |  2  2
-----------+----+-----+-----+------
x3o .    . |  3 |   3 | 20N |  1  1
-----------+----+-----+-----+------
x3o3o    .   4 |   6 |   4 | 5N  *
x3o . *b5o  12 |  30 |  20 |  *  N

s4o3o5o   (N → ∞)

demi( . . . . ) |  N   30 |  60 | 20 12
----------------+----+-----+-----+------
      s4o . .     2 | 15N |   4 |  2  2
----------------+----+-----+-----+------
sefa( s4o3o . ) |  3 |   3 | 20N |  1  1
----------------+----+-----+-----+------
      s4o3o .     4 |   6 |   4 | 5N  *
sefa( s4o3o5o )  12 |  30 |  20 |  *  N

starting figure: x4o3o5o

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