| Acronym | squarit |
| Name | square - rectified-tesseract duoprism |
| Circumradius | sqrt(2) = 1.414214 |
| Face vector | 128, 512, 768, 544, 188, 28 |
| Confer |
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Incidence matrix according to Dynkin symbol
x4o o3o3x4o . . . . . . | 128 | 2 6 | 1 12 6 3 | 6 12 6 2 3 | 6 3 4 6 1 | 2 3 2 ------------+-----+---------+---------------+-----------------+---------------+------- x . . . . . | 2 | 128 * | 1 6 0 0 | 6 6 3 0 0 | 6 3 2 3 0 | 2 3 1 . . . . x . | 2 | * 384 | 0 2 2 1 | 1 4 2 1 2 | 2 1 2 4 1 | 1 2 2 ------------+-----+---------+---------------+-----------------+---------------+------- x4o . . . . | 4 | 4 0 | 32 * * * ♦ 6 0 0 0 0 | 6 3 0 0 0 | 2 3 0 x . . . x . | 4 | 2 2 | * 384 * * | 1 2 1 0 0 | 2 1 1 2 0 | 1 2 1 . . . o3x . | 3 | 0 3 | * * 256 * | 0 2 0 1 1 | 1 0 2 2 1 | 1 1 2 . . . . x4o | 4 | 0 4 | * * * 96 | 0 0 2 0 2 | 0 1 0 4 1 | 0 2 2 ------------+-----+---------+---------------+-----------------+---------------+------- x4o . . x . ♦ 8 | 8 4 | 2 4 0 0 | 96 * * * * | 2 1 0 0 0 | 1 2 0 x . . o3x . ♦ 6 | 3 6 | 0 3 2 0 | * 256 * * * | 1 0 1 1 0 | 1 1 1 x . . . x4o ♦ 8 | 4 8 | 0 4 0 2 | * * 96 * * | 0 1 0 2 0 | 0 2 1 . . o3o3x . ♦ 4 | 0 6 | 0 0 4 0 | * * * 64 * | 0 0 2 0 1 | 1 0 2 . . . o3x4o ♦ 12 | 0 24 | 0 0 8 6 | * * * * 32 | 0 0 0 2 1 | 0 1 2 ------------+-----+---------+---------------+-----------------+---------------+------- x4o . o3x . ♦ 12 | 12 12 | 3 12 4 0 | 3 4 0 0 0 | 64 * * * * | 1 1 0 x4o . . x4o ♦ 16 | 16 16 | 4 16 0 4 | 4 0 4 0 0 | * 24 * * * | 0 2 0 x . o3o3x . ♦ 8 | 4 12 | 0 6 8 0 | 0 4 0 2 0 | * * 64 * * | 1 0 1 x . . o3x4o ♦ 24 | 12 48 | 0 24 16 12 | 0 8 6 0 2 | * * * 32 * | 0 1 1 . . o3o3x4o ♦ 32 | 0 96 | 0 0 64 24 | 0 0 0 16 8 | * * * * 4 | 0 0 2 ------------+-----+---------+---------------+-----------------+---------------+------- x4o o3o3x . ♦ 16 | 16 24 | 4 24 16 0 | 6 16 0 4 0 | 4 0 4 0 0 | 16 * * x4o . o3x4o ♦ 48 | 48 96 | 12 96 32 24 | 24 32 24 0 4 | 8 6 0 4 0 | * 8 * x . o3o3x4o ♦ 64 | 32 192 | 0 96 128 48 | 0 64 24 32 16 | 0 0 16 8 2 | * * 4
x x o3o3x4o . . . . . . | 128 | 1 1 6 | 1 6 6 6 3 | 6 6 3 6 3 2 3 | 6 3 2 3 2 3 1 | 2 3 1 1 ------------+-----+-----------+-------------------+------------------------+---------------------+--------- x . . . . . | 2 | 64 * * | 1 6 0 0 0 | 6 6 3 0 0 0 0 | 6 3 2 3 0 0 0 | 2 3 1 0 . x . . . . | 2 | * 64 * | 1 0 6 0 0 | 6 0 0 6 3 0 0 | 6 3 0 0 2 3 0 | 2 3 0 1 . . . . x . | 2 | * * 384 | 0 1 1 2 1 | 1 2 1 2 1 1 2 | 2 1 1 2 1 2 1 | 1 2 1 1 ------------+-----+-----------+-------------------+------------------------+---------------------+--------- x x . . . . | 4 | 2 2 0 | 32 * * * * ♦ 6 0 0 0 0 0 0 | 6 3 0 0 0 0 0 | 2 3 0 0 x . . . x . | 4 | 2 0 2 | * 192 * * * | 1 2 1 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0 . x . . x . | 4 | 0 2 2 | * * 192 * * | 1 0 0 2 1 0 0 | 2 1 0 0 1 2 0 | 1 2 0 1 . . . o3x . | 3 | 0 0 3 | * * * 256 * | 0 1 0 1 0 1 1 | 1 0 1 1 1 1 1 | 1 1 1 1 . . . . x4o | 4 | 0 0 4 | * * * * 96 | 0 0 1 0 1 0 2 | 0 1 0 2 0 2 1 | 0 2 1 1 ------------+-----+-----------+-------------------+------------------------+---------------------+--------- x x . . x . ♦ 8 | 4 4 4 | 2 2 2 0 0 | 96 * * * * * * | 2 1 0 0 0 0 0 | 1 2 0 0 x . . o3x . ♦ 6 | 3 0 6 | 0 3 0 2 0 | * 128 * * * * * | 1 0 1 1 0 0 0 | 1 1 1 0 x . . . x4o ♦ 8 | 4 0 8 | 0 4 0 0 2 | * * 48 * * * * | 0 1 0 2 0 0 0 | 0 2 1 0 . x . o3x . ♦ 6 | 0 3 6 | 0 0 3 2 0 | * * * 128 * * * | 1 0 0 0 1 1 0 | 1 1 0 1 . x . . x4o ♦ 8 | 0 4 8 | 0 0 4 0 2 | * * * * 48 * * | 0 1 0 0 0 2 0 | 0 2 0 1 . . o3o3x . ♦ 4 | 0 0 6 | 0 0 0 4 0 | * * * * * 64 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . o3x4o ♦ 12 | 0 0 24 | 0 0 0 8 6 | * * * * * * 32 | 0 0 0 1 0 1 1 | 0 1 1 1 ------------+-----+-----------+-------------------+------------------------+---------------------+--------- x x . o3x . ♦ 12 | 6 6 12 | 3 6 6 4 0 | 3 2 0 2 0 0 0 | 64 * * * * * * | 1 1 0 0 x x . . x4o ♦ 16 | 8 8 16 | 4 8 8 0 4 | 4 0 2 0 2 0 0 | * 24 * * * * * | 0 2 0 0 x . o3o3x . ♦ 8 | 4 0 12 | 0 6 0 8 0 | 0 4 0 0 0 2 0 | * * 32 * * * * | 1 0 1 0 x . . o3x4o ♦ 24 | 12 0 48 | 0 24 0 16 12 | 0 8 6 0 0 0 2 | * * * 16 * * * | 0 1 1 0 . x o3o3x . ♦ 8 | 0 4 12 | 0 0 6 8 0 | 0 0 0 4 0 2 0 | * * * * 32 * * | 1 0 0 1 . x . o3x4o ♦ 24 | 0 12 48 | 0 0 24 16 12 | 0 0 0 8 6 0 2 | * * * * * 16 * | 0 1 0 1 . . o3o3x4o ♦ 32 | 0 0 96 | 0 0 0 64 24 | 0 0 0 0 0 16 8 | * * * * * * 4 | 0 0 1 1 ------------+-----+-----------+-------------------+------------------------+---------------------+--------- x x o3o3x . ♦ 16 | 8 8 24 | 4 12 12 16 0 | 6 8 0 8 0 4 0 | 4 0 2 0 2 0 0 | 16 * * * x x . o3x4o ♦ 48 | 24 24 96 | 12 48 48 32 24 | 24 16 12 16 12 0 4 | 8 6 0 2 0 2 0 | * 8 * * x . o3o3x4o ♦ 64 | 32 0 192 | 0 96 0 128 48 | 0 64 24 0 0 32 16 | 0 0 16 8 0 0 2 | * * 2 * . x o3o3x4o ♦ 64 | 0 32 192 | 0 0 96 128 48 | 0 0 0 64 24 32 16 | 0 0 0 0 16 8 2 | * * * 2
x x x3o3x *d3o . . . . . . | 128 | 1 1 3 3 | 1 3 3 3 3 3 3 3 | 3 3 3 3 3 3 3 3 3 1 1 | 3 3 3 3 1 1 3 1 1 1 | 3 1 1 1 1 ---------------+-----+---------------+---------------------------+----------------------------------+------------------------------+---------- x . . . . . | 2 | 64 * * * | 1 3 3 0 0 0 0 0 | 3 3 3 3 3 0 0 0 0 0 0 | 3 3 3 3 1 1 0 0 0 0 | 3 1 1 1 0 . x . . . . | 2 | * 64 * * | 1 0 0 3 3 0 0 0 | 3 3 0 0 0 3 3 3 0 0 0 | 3 3 3 0 0 0 3 1 1 0 | 3 1 1 0 1 . . x . . . | 2 | * * 192 * | 0 1 0 1 0 2 1 0 | 1 0 2 1 0 2 1 0 2 1 0 | 2 1 0 2 1 0 2 1 0 1 | 2 1 0 1 1 . . . . x . | 2 | * * * 192 | 0 0 1 0 1 0 1 2 | 0 1 0 1 2 0 1 2 2 0 1 | 0 1 2 2 0 1 2 0 1 1 | 2 0 1 1 1 ---------------+-----+---------------+---------------------------+----------------------------------+------------------------------+---------- x x . . . . | 4 | 2 2 0 0 | 32 * * * * * * * ♦ 3 3 0 0 0 0 0 0 0 0 0 | 3 3 3 0 0 0 0 0 0 0 | 3 1 1 0 0 x . x . . . | 4 | 2 0 2 0 | * 96 * * * * * * | 1 0 2 1 0 0 0 0 0 0 0 | 2 1 0 2 1 0 0 0 0 0 | 2 1 0 1 0 x . . . x . | 4 | 2 0 0 2 | * * 96 * * * * * | 0 1 0 1 2 0 0 0 0 0 0 | 0 1 2 2 0 1 0 0 0 0 | 2 0 1 1 0 . x x . . . | 4 | 0 2 2 0 | * * * 96 * * * * | 1 0 0 0 0 2 1 0 0 0 0 | 2 1 0 0 0 0 2 1 0 0 | 2 1 0 0 1 . x . . x . | 4 | 0 2 0 2 | * * * * 96 * * * | 0 1 0 0 0 0 1 2 0 0 0 | 0 1 2 0 0 0 2 0 1 0 | 2 0 1 0 1 . . x3o . . | 3 | 0 0 3 0 | * * * * * 128 * * | 0 0 1 0 0 1 0 0 1 1 0 | 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . x . x . | 4 | 0 0 2 2 | * * * * * * 96 * | 0 0 0 1 0 0 1 0 2 0 0 | 0 1 0 2 0 0 2 0 0 1 | 2 0 0 1 1 . . . o3x . | 3 | 0 0 0 3 | * * * * * * * 128 | 0 0 0 0 1 0 0 1 1 0 1 | 0 0 1 1 0 1 1 0 1 1 | 1 0 1 1 1 ---------------+-----+---------------+---------------------------+----------------------------------+------------------------------+---------- x x x . . . ♦ 8 | 4 4 4 0 | 2 2 0 2 0 0 0 0 | 48 * * * * * * * * * * | 2 1 0 0 0 0 0 0 0 0 | 2 1 0 0 0 x x . . x . ♦ 8 | 4 4 0 4 | 2 0 2 0 2 0 0 0 | * 48 * * * * * * * * * | 0 1 2 0 0 0 0 0 0 0 | 2 0 1 0 0 x . x3o . . ♦ 6 | 3 0 6 0 | 0 3 0 0 0 2 0 0 | * * 64 * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . x . x . ♦ 8 | 4 0 4 4 | 0 2 2 0 0 0 2 0 | * * * 48 * * * * * * * | 0 1 0 2 0 0 0 0 0 0 | 2 0 0 1 0 x . . o3x . ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 0 2 | * * * * 64 * * * * * * | 0 0 1 1 0 1 0 0 0 0 | 1 0 1 1 0 . x x3o . . ♦ 6 | 0 3 6 0 | 0 0 0 3 0 2 0 0 | * * * * * 64 * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x x . x . ♦ 8 | 0 4 4 4 | 0 0 0 2 2 0 2 0 | * * * * * * 48 * * * * | 0 1 0 0 0 0 2 0 0 0 | 2 0 0 0 1 . x . o3x . ♦ 6 | 0 3 0 6 | 0 0 0 0 3 0 0 2 | * * * * * * * 64 * * * | 0 0 1 0 0 0 1 0 1 0 | 1 0 1 0 1 . . x3o3x . ♦ 12 | 0 0 12 12 | 0 0 0 0 0 4 6 4 | * * * * * * * * 32 * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x3o . *d3o ♦ 4 | 0 0 6 0 | 0 0 0 0 0 4 0 0 | * * * * * * * * * 32 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . o3x *d3o ♦ 4 | 0 0 0 6 | 0 0 0 0 0 0 0 4 | * * * * * * * * * * 32 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ---------------+-----+---------------+---------------------------+----------------------------------+------------------------------+---------- x x x3o . . ♦ 12 | 6 6 12 0 | 3 6 0 6 0 4 0 0 | 3 0 2 0 0 2 0 0 0 0 0 | 32 * * * * * * * * * | 1 1 0 0 0 x x x . x . ♦ 16 | 8 8 8 8 | 4 4 4 4 4 0 4 0 | 2 2 0 2 0 0 2 0 0 0 0 | * 24 * * * * * * * * | 2 0 0 0 0 x x . o3x . ♦ 12 | 6 6 0 12 | 3 0 6 0 6 0 0 4 | 0 3 0 0 2 0 0 2 0 0 0 | * * 32 * * * * * * * | 1 0 1 0 0 x . x3o3x . ♦ 24 | 12 0 24 24 | 0 12 12 0 0 8 12 8 | 0 0 4 6 4 0 0 0 2 0 0 | * * * 16 * * * * * * | 1 0 0 1 0 x . x3o . *d3o ♦ 8 | 4 0 12 0 | 0 6 0 0 0 8 0 0 | 0 0 4 0 0 0 0 0 0 2 0 | * * * * 16 * * * * * | 0 1 0 1 0 x . . o3x *d3o ♦ 8 | 4 0 0 12 | 0 0 6 0 0 0 0 8 | 0 0 0 0 4 0 0 0 0 0 2 | * * * * * 16 * * * * | 0 0 1 1 0 . x x3o3x . ♦ 24 | 0 12 24 24 | 0 0 0 12 12 8 12 8 | 0 0 0 0 0 4 6 4 2 0 0 | * * * * * * 16 * * * | 1 0 0 0 1 . x x3o . *d3o ♦ 8 | 0 4 12 0 | 0 0 0 6 0 8 0 0 | 0 0 0 0 0 4 0 0 0 2 0 | * * * * * * * 16 * * | 0 1 0 0 1 . x . o3x *d3o ♦ 8 | 0 4 0 12 | 0 0 0 0 6 0 0 8 | 0 0 0 0 0 0 0 4 0 0 2 | * * * * * * * * 16 * | 0 0 1 0 1 . . x3o3x *d3o ♦ 32 | 0 0 48 48 | 0 0 0 0 0 32 24 32 | 0 0 0 0 0 0 0 0 8 8 8 | * * * * * * * * * 4 | 0 0 0 1 1 ---------------+-----+---------------+---------------------------+----------------------------------+------------------------------+---------- x x x3o3x . ♦ 48 | 24 24 48 48 | 12 24 24 24 24 16 24 16 | 12 12 8 12 8 8 12 8 4 0 0 | 4 6 4 2 0 0 2 0 0 0 | 8 * * * * x x x3o . *d3o ♦ 16 | 8 8 24 0 | 4 12 0 12 0 16 0 0 | 6 0 8 0 0 8 0 0 0 4 0 | 4 0 0 0 2 0 0 2 0 0 | * 8 * * * x x . o3x *d3o ♦ 16 | 8 8 0 24 | 4 0 12 0 12 0 0 16 | 0 6 0 0 8 0 0 8 0 0 4 | 0 0 4 0 0 2 0 0 2 0 | * * 8 * * x . x3o3x *d3o ♦ 64 | 32 0 96 96 | 0 48 48 0 0 64 48 64 | 0 0 32 24 32 0 0 0 16 16 16 | 0 0 0 8 8 8 0 0 0 2 | * * * 2 * . x x3o3x *d3o ♦ 64 | 0 32 96 96 | 0 0 0 48 48 64 48 64 | 0 0 0 0 0 32 24 32 16 16 16 | 0 0 0 0 0 0 8 8 8 2 | * * * * 2
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