Acronym tassiph
Name truncated square prismatic honeycomb
 
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Incidence matrix according to Dynkin symbol

x∞o x4x4o   (N → ∞)

. . . . . | 4N |  2  1  2 |  2  4 2 1 | 4 2
----------+----+----------+-----------+----
x . . . . |  2 | 4N  *  * |  1  2 0 0 | 2 1
. . x . . |  2 |  * 2N  * |  2  0 2 0 | 4 0
. . . x . |  2 |  *  * 4N |  0  2 1 1 | 2 2
----------+----+----------+-----------+----
x . x . . |  4 |  2  2  0 | 2N  * * * | 2 0
x . . x . |  4 |  2  0  2 |  * 4N * * | 1 1
. . x4x . |  8 |  0  4  4 |  *  * N * | 2 0
. . . x4o |  4 |  0  0  4 |  *  * * N | 0 2
----------+----+----------+-----------+----
x . x4x .  16 |  8  8  8 |  4  4 2 0 | N *
x . . x4o   8 |  4  0  8 |  0  4 0 2 | * N

snubbed forms: s∞o2x4s4o, s∞o2s4x4o, s∞o2s4s4o

x∞x x4x4o   (N → ∞)

. . . . . | 8N |  1  1  1  2 |  1  2  1  2  2  1 | 2 1 2 1
----------+----+-------------+-------------------+--------
x . . . . |  2 | 4N  *  *  * |  1  2  0  0  0  0 | 2 1 0 0
. x . . . |  2 |  * 4N  *  * |  0  0  1  2  0  0 | 0 0 2 1
. . x . . |  2 |  *  * 4N  * |  1  0  1  0  2  0 | 2 0 2 0
. . . x . |  2 |  *  *  * 8N |  0  1  0  1  1  1 | 1 1 1 1
----------+----+-------------+-------------------+--------
x . x . . |  4 |  2  0  2  0 | 2N  *  *  *  *  * | 2 0 0 0
x . . x . |  4 |  2  0  0  2 |  * 4N  *  *  *  * | 1 1 0 0
. x x . . |  4 |  0  2  2  0 |  *  * 2N  *  *  * | 0 0 2 0
. x . x . |  4 |  0  2  0  2 |  *  *  * 4N  *  * | 0 0 1 1
. . x4x . |  8 |  0  0  4  4 |  *  *  *  * 2N  * | 1 0 1 0
. . . x4o |  4 |  0  0  0  4 |  *  *  *  *  * 2N | 0 1 0 1
----------+----+-------------+-------------------+--------
x . x4x .  16 |  8  0  8  8 |  4  4  0  0  2  0 | N * * *
x . . x4o   8 |  4  0  0  8 |  0  4  0  0  0  2 | * N * *
. x x4x .  16 |  0  8  8  8 |  0  0  4  4  2  0 | * * N *
. x . x4o   8 |  0  4  0  8 |  0  0  0  4  0  2 | * * * N

x∞o x4x4x   (N → ∞)

. . . . . | 8N |  2  1  1  1 |  2  2  2 1  1 1 | 2  2 2
----------+----+-------------+-----------------+-------
x . . . . |  2 | 8N  *  *  * |  1  1  1 0  0 0 | 1  1 1
. . x . . |  2 |  * 4N  *  * |  2  0  0 1  1 0 | 2  2 0
. . . x . |  2 |  *  * 4N  * |  0  2  0 1  0 1 | 2  0 2
. . . . x |  2 |  *  *  * 4N |  0  0  2 0  1 1 | 0  2 2
----------+----+-------------+-----------------+-------
x . x . . |  4 |  2  2  0  0 | 4N  *  * *  * * | 1  1 0
x . . x . |  4 |  2  0  2  0 |  * 4N  * *  * * | 1  0 1
x . . . x |  4 |  2  0  0  2 |  *  * 4N *  * * | 0  1 1
. . x4x . |  8 |  0  4  4  0 |  *  *  * N  * * | 2  0 0
. . x . x |  4 |  0  2  0  2 |  *  *  * * 2N * | 0  2 0
. . . x4x |  8 |  0  0  4  4 |  *  *  * *  * N | 0  0 2
----------+----+-------------+-----------------+-------
x . x4x .  16 |  8  8  8  0 |  4  4  0 2  0 0 | N  * *
x . x . x   8 |  4  4  0  4 |  2  0  2 0  2 0 | * 2N *
x . . x4x  16 |  8  0  8  8 |  0  4  4 0  0 2 | *  * N

snubbed forms: s∞o2x4s4x, s∞o2s4s4x, s∞o2s4x4s, s∞o2s4s4s

x∞x x4x4x   (N → ∞)

. . . . . | 16N |  1  1  1  1  1 |  1  1  1  1  1  1  1  1  1 | 1  1 1 1  1 1
----------+-----+----------------+----------------------------+--------------
x . . . . |   2 | 8N  *  *  *  * |  1  1  1  0  0  0  0  0  0 | 1  1 1 0  0 0
. x . . . |   2 |  * 8N  *  *  * |  0  0  0  1  1  1  0  0  0 | 0  0 0 1  1 1
. . x . . |   2 |  *  * 8N  *  * |  1  0  0  1  0  0  1  1  0 | 1  1 0 1  1 0
. . . x . |   2 |  *  *  * 8N  * |  0  1  0  0  1  0  1  0  1 | 1  0 1 1  0 1
. . . . x |   2 |  *  *  *  * 8N |  0  0  1  0  0  1  0  1  1 | 0  1 1 0  1 1
----------+-----+----------------+----------------------------+--------------
x . x . . |   4 |  2  0  2  0  0 | 4N  *  *  *  *  *  *  *  * | 1  1 0 0  0 0
x . . x . |   4 |  2  0  0  2  0 |  * 4N  *  *  *  *  *  *  * | 1  0 1 0  0 0
x . . . x |   4 |  2  0  0  0  2 |  *  * 4N  *  *  *  *  *  * | 0  1 1 0  0 0
. x x . . |   4 |  0  2  2  0  0 |  *  *  * 4N  *  *  *  *  * | 0  0 0 1  1 0
. x . x . |   4 |  0  2  0  2  0 |  *  *  *  * 4N  *  *  *  * | 0  0 0 1  0 1
. x . . x |   4 |  0  2  0  0  2 |  *  *  *  *  * 4N  *  *  * | 0  0 0 0  1 1
. . x4x . |   8 |  0  0  4  4  0 |  *  *  *  *  *  * 2N  *  * | 1  0 0 1  0 0
. . x . x |   4 |  0  0  2  0  2 |  *  *  *  *  *  *  * 4N  * | 0  1 0 0  1 0
. . . x4x |   8 |  0  0  0  4  4 |  *  *  *  *  *  *  *  * 2N | 0  0 1 0  0 1
----------+-----+----------------+----------------------------+--------------
x . x4x .   16 |  8  0  8  8  0 |  4  4  0  0  0  0  2  0  0 | N  * * *  * *
x . x . x    8 |  4  0  4  0  4 |  2  0  2  0  0  0  0  2  0 | * 2N * *  * *
x . . x4x   16 |  8  0  0  8  8 |  0  4  4  0  0  0  0  0  2 | *  * N *  * *
. x x4x .   16 |  0  8  8  8  0 |  0  0  0  4  4  0  2  0  0 | *  * * N  * *
. x x . x    8 |  0  4  4  0  4 |  0  0  0  2  0  2  0  2  0 | *  * * * 2N *
. x . x4x   16 |  0  8  0  8  8 |  0  0  0  0  4  4  0  0  2 | *  * * *  * N

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