Acronym ...
Name hyperbolic tetraoctagonal tiling
 
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Circumradius 1/sqrt[-sqrt(2)] = 0.840896 i
Vertex figure [(4,8)2]
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Incidence matrix according to Dynkin symbol

o4x8o   (N → ∞)

. . . | 4N |  4 |  2 2
------+----+----+-----
. x . |  2 | 8N |  1 1
------+----+----+-----
o4x . |  4 |  4 | 2N *
. x8o |  8 |  8 |  * N

x8o8x   (N → ∞)

. . . | 8N |  2  2 | 1  2 1
------+----+-------+-------
x . . |  2 | 8N  * | 1  1 0
. . x |  2 |  * 8N | 0  1 1
------+----+-------+-------
x8o . |  8 |  8  0 | N  * *
x . x |  4 |  2  2 | * 4N *
. o8x |  8 |  0  8 | *  * N

x4x4o4*a   (N → ∞)

. . .    | 4N |  2  2 | 2 1 1
---------+----+-------+------
x . .    |  2 | 4N  * | 1 1 0
. x .    |  2 |  * 4N | 1 0 1
---------+----+-------+------
x4x .    |  8 |  4  4 | N * *
x . o4*a |  4 |  4  0 | * N *
. x4o    |  4 |  0  4 | * * N

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