| Acronym | tosquat |
| Name | truncated square tiling |
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| Vertex figure | [4,82] |
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Incidence matrix according to Dynkin symbol
x4x4o (N→∞) . . . | 4N | 1 2 | 2 1 ------+----+-------+---- x . . | 2 | 2N * | 2 0 . x . | 2 | * 4N | 1 1 ------+----+-------+---- x4x . | 8 | 4 4 | N * . x4o | 4 | 0 4 | * N
x4x4x (N→∞) . . . | 8N | 1 1 1 | 1 1 1 ------+----+----------+------- x . . | 2 | 4N * * | 1 1 0 . x . | 2 | * 4N * | 1 0 1 . . x | 2 | * * 4N | 0 1 1 ------+----+----------+------- x4x . | 8 | 4 4 0 | N * * x . x | 4 | 2 0 2 | * 2N * . x4x | 8 | 0 4 4 | * * N
s4o4x (N→∞)
demi( . . . ) | 4N | 1 2 | 1 2
--------------+----+-------+----
s4o . | 2 | 2N * | 0 2
demi( . . x ) | 2 | * 4N | 1 1
--------------+----+-------+----
demi( . o4x ) | 4 | 0 4 | N *
sefa( s4o4x ) | 8 | 4 4 | * N
s4x4x (N→∞)
demi( . . . ) | 8N | 1 1 1 | 1 1 1
--------------+----+----------+-------
demi( . x . ) | 2 | 4N * * | 1 1 0
demi( . . x ) | 2 | * 4N * | 0 1 1
sefa( s4x . ) | 2 | * * 4N | 1 0 1
--------------+----+----------+-------
s4x . ♦ 4 | 2 0 2 | 2N * *
demi( . x4x ) | 8 | 4 4 0 | * N *
sefa( s4x4x ) | 8 | 0 4 4 | * * N
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