| Acronym | tracope |
| Name | triangle-cuboctahedron duoprismatic prism |
| Circumradius | sqrt(19/12) = 1.258306 |
| Volume | 5 sqrt(6)/12 = 1.020621 |
| Face vector | 72, 252, 360, 264, 103, 19 |
| Confer |
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Incidence matrix according to Dynkin symbol
x x3o o3x4o . . . . . . | 72 | 1 2 4 | 2 4 1 8 2 2 | 1 8 2 2 4 4 4 1 | 4 4 4 1 2 2 2 | 2 2 2 1 ------------+----+-----------+--------------------+------------------------+--------------------+-------- x . . . . . | 2 | 36 * * | 2 4 0 0 0 0 | 1 8 2 2 0 0 0 0 | 4 4 4 1 0 0 0 | 2 2 2 0 . x . . . . | 2 | * 72 * | 1 0 1 4 0 0 | 1 4 0 0 4 2 2 0 | 4 2 2 0 2 2 1 | 2 2 1 1 . . . . x . | 2 | * * 144 | 0 1 0 2 1 1 | 0 2 1 1 1 2 2 1 | 1 2 2 1 1 1 2 | 1 1 2 1 ------------+----+-----------+--------------------+------------------------+--------------------+-------- x x . . . . | 4 | 2 2 0 | 36 * * * * * | 1 4 0 0 0 0 0 0 | 4 2 2 0 0 0 0 | 2 2 1 0 x . . . x . | 4 | 2 0 2 | * 72 * * * * | 0 2 1 1 0 0 0 0 | 1 2 2 1 0 0 0 | 1 1 2 0 . x3o . . . | 3 | 0 3 0 | * * 24 * * * | 1 0 0 0 4 0 0 0 | 4 0 0 0 2 2 0 | 2 2 0 1 . x . . x . | 4 | 0 2 2 | * * * 144 * * | 0 1 0 0 1 1 1 0 | 1 1 1 0 1 1 1 | 1 1 1 1 . . . o3x . | 3 | 0 0 3 | * * * * 48 * | 0 0 1 0 0 2 0 1 | 0 2 0 1 1 0 2 | 1 0 2 1 . . . . x4o | 4 | 0 0 4 | * * * * * 36 | 0 0 0 1 0 0 2 1 | 0 0 2 1 0 1 2 | 0 1 2 1 ------------+----+-----------+--------------------+------------------------+--------------------+-------- x x3o . . . ♦ 6 | 3 6 0 | 3 0 2 0 0 0 | 12 * * * * * * * | 4 0 0 0 0 0 0 | 2 2 0 0 x x . . x . ♦ 8 | 4 4 4 | 2 2 0 2 0 0 | * 72 * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 x . . o3x . ♦ 6 | 3 0 6 | 0 3 0 0 2 0 | * * 24 * * * * * | 0 2 0 1 0 0 0 | 1 0 2 0 x . . . x4o ♦ 8 | 4 0 8 | 0 4 0 0 0 2 | * * * 18 * * * * | 0 0 2 1 0 0 0 | 0 1 2 0 . x3o . x . ♦ 6 | 0 6 3 | 0 0 2 3 0 0 | * * * * 48 * * * | 1 0 0 0 1 1 0 | 1 1 0 1 . x . o3x . ♦ 6 | 0 3 6 | 0 0 0 3 2 0 | * * * * * 48 * * | 0 1 0 0 1 0 1 | 1 0 1 1 . x . . x4o ♦ 8 | 0 4 8 | 0 0 0 4 0 2 | * * * * * * 36 * | 0 0 1 0 0 1 1 | 0 1 1 1 . . . o3x4o ♦ 12 | 0 0 24 | 0 0 0 0 8 6 | * * * * * * * 6 | 0 0 0 1 0 0 2 | 0 0 2 1 ------------+----+-----------+--------------------+------------------------+--------------------+-------- x x3o . x . ♦ 12 | 6 12 6 | 6 3 4 6 0 0 | 2 3 0 0 2 0 0 0 | 24 * * * * * * | 1 1 0 0 x x . o3x . ♦ 12 | 6 6 12 | 3 6 0 6 4 0 | 0 3 2 0 0 2 0 0 | * 24 * * * * * | 1 0 1 0 x x . . x4o ♦ 16 | 8 8 16 | 4 8 0 8 0 4 | 0 4 0 2 0 0 2 0 | * * 18 * * * * | 0 1 1 0 x . . o3x4o ♦ 24 | 12 0 48 | 0 24 0 0 16 12 | 0 0 8 6 0 0 0 2 | * * * 3 * * * | 0 0 2 0 . x3o o3x . ♦ 9 | 0 9 9 | 0 0 3 9 3 0 | 0 0 0 0 3 3 0 0 | * * * * 16 * * | 1 0 0 1 . x3o . x4o ♦ 12 | 0 12 12 | 0 0 4 12 0 3 | 0 0 0 0 4 0 3 0 | * * * * * 12 * | 0 1 0 1 . x . o3x4o ♦ 24 | 0 12 48 | 0 0 0 24 16 12 | 0 0 0 0 0 8 6 2 | * * * * * * 6 | 0 0 1 1 ------------+----+-----------+--------------------+------------------------+--------------------+-------- x x3o o3x . ♦ 18 | 9 18 18 | 9 9 6 18 6 0 | 3 9 3 0 6 6 0 0 | 3 3 0 0 2 0 0 | 8 * * * x x3o . x4o ♦ 24 | 12 24 24 | 12 12 8 24 0 6 | 4 12 0 3 8 0 6 0 | 4 0 3 0 0 2 0 | * 6 * * x x . o3x4o ♦ 48 | 24 24 96 | 12 48 0 48 32 24 | 0 24 16 12 0 16 12 4 | 0 8 6 2 0 0 2 | * * 3 * . x3o o3x4o ♦ 36 | 0 36 72 | 0 0 12 72 24 18 | 0 0 0 0 24 24 18 3 | 0 0 0 0 8 6 3 | * * * 2
x x3o x3o3x . . . . . . | 72 | 1 2 2 2 | 2 2 2 1 4 4 1 2 1 | 1 4 4 1 2 1 2 2 2 4 2 1 | 2 2 2 4 2 1 1 2 1 2 | 1 2 1 2 1 ------------+----+-------------+----------------------------+------------------------------------+---------------------------+---------- x . . . . . | 2 | 36 * * * | 2 2 2 0 0 0 0 0 0 | 1 4 4 1 2 1 0 0 0 0 0 0 | 2 2 2 4 2 1 0 0 0 0 | 1 2 1 2 0 . x . . . . | 2 | * 72 * * | 1 0 0 1 2 2 0 0 0 | 1 2 2 0 0 0 2 2 1 2 1 0 | 2 2 1 2 1 0 1 2 1 1 | 1 2 1 1 1 . . . x . . | 2 | * * 72 * | 0 1 0 0 2 0 1 1 0 | 0 2 0 1 1 0 1 0 2 2 0 1 | 1 0 2 2 0 1 1 1 0 2 | 1 1 0 2 1 . . . . . x | 2 | * * * 72 | 0 0 1 0 0 2 0 1 1 | 0 0 2 0 1 1 0 1 0 2 2 1 | 0 1 0 2 2 1 0 1 1 2 | 0 1 1 2 1 ------------+----+-------------+----------------------------+------------------------------------+---------------------------+---------- x x . . . . | 4 | 2 2 0 0 | 36 * * * * * * * * | 1 2 2 0 0 0 0 0 0 0 0 0 | 2 2 1 2 1 0 0 0 0 0 | 1 2 1 1 0 x . . x . . | 4 | 2 0 2 0 | * 36 * * * * * * * | 0 2 0 1 1 0 0 0 0 0 0 0 | 1 0 2 2 0 1 0 0 0 0 | 1 1 0 2 0 x . . . . x | 4 | 2 0 0 2 | * * 36 * * * * * * | 0 0 2 0 1 1 0 0 0 0 0 0 | 0 1 0 2 2 1 0 0 0 0 | 0 1 1 2 0 . x3o . . . | 3 | 0 3 0 0 | * * * 24 * * * * * | 1 0 0 0 0 0 2 2 0 0 0 0 | 2 2 0 0 0 0 1 2 1 0 | 1 2 1 0 1 . x . x . . | 4 | 0 2 2 0 | * * * * 72 * * * * | 0 1 0 0 0 0 1 0 1 1 0 0 | 1 0 1 1 0 0 1 1 0 1 | 1 1 0 1 1 . x . . . x | 4 | 0 2 0 2 | * * * * * 72 * * * | 0 0 1 0 0 0 0 1 0 1 1 0 | 0 1 0 1 1 0 0 1 1 1 | 0 1 1 1 1 . . . x3o . | 3 | 0 0 3 0 | * * * * * * 24 * * | 0 0 0 1 0 0 0 0 2 0 0 1 | 0 0 2 0 0 1 1 0 0 2 | 1 0 0 2 1 . . . x . x | 4 | 0 0 2 2 | * * * * * * * 36 * | 0 0 0 0 1 0 0 0 0 2 0 1 | 0 0 0 2 0 1 0 1 0 2 | 0 1 0 2 1 . . . . o3x | 3 | 0 0 0 3 | * * * * * * * * 24 | 0 0 0 0 0 1 0 0 0 0 2 1 | 0 0 0 0 2 1 0 0 1 2 | 0 0 1 2 1 ------------+----+-------------+----------------------------+------------------------------------+---------------------------+---------- x x3o . . . ♦ 6 | 3 6 0 0 | 3 0 0 2 0 0 0 0 0 | 12 * * * * * * * * * * * | 2 2 0 0 0 0 0 0 0 0 | 1 2 1 0 0 x x . x . . ♦ 8 | 4 4 4 0 | 2 2 0 0 2 0 0 0 0 | * 36 * * * * * * * * * * | 1 0 1 1 0 0 0 0 0 0 | 1 1 0 1 0 x x . . . x ♦ 8 | 4 4 0 4 | 2 0 2 0 0 2 0 0 0 | * * 36 * * * * * * * * * | 0 1 0 1 1 0 0 0 0 0 | 0 1 1 1 0 x . . x3o . ♦ 6 | 3 0 6 0 | 0 3 0 0 0 0 2 0 0 | * * * 12 * * * * * * * * | 0 0 2 0 0 1 0 0 0 0 | 1 0 0 2 0 x . . x . x ♦ 8 | 4 0 4 4 | 0 2 2 0 0 0 0 2 0 | * * * * 18 * * * * * * * | 0 0 0 2 0 1 0 0 0 0 | 0 1 0 2 0 x . . . o3x ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 0 0 2 | * * * * * 12 * * * * * * | 0 0 0 0 2 1 0 0 0 0 | 0 0 1 2 0 . x3o x . . ♦ 6 | 0 6 3 0 | 0 0 0 2 3 0 0 0 0 | * * * * * * 24 * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x3o . . x ♦ 6 | 0 6 0 3 | 0 0 0 2 0 3 0 0 0 | * * * * * * * 24 * * * * | 0 1 0 0 0 0 0 1 1 0 | 0 1 1 0 1 . x . x3o . ♦ 6 | 0 3 6 0 | 0 0 0 0 3 0 2 0 0 | * * * * * * * * 24 * * * | 0 0 1 0 0 0 1 0 0 1 | 1 0 0 1 1 . x . x . x ♦ 8 | 0 4 4 4 | 0 0 0 0 2 2 0 2 0 | * * * * * * * * * 36 * * | 0 0 0 1 0 0 0 1 0 1 | 0 1 0 1 1 . x . . o3x ♦ 6 | 0 3 0 6 | 0 0 0 0 0 3 0 0 2 | * * * * * * * * * * 24 * | 0 0 0 0 1 0 0 0 1 1 | 0 0 1 1 1 . . . x3o3x ♦ 12 | 0 0 12 12 | 0 0 0 0 0 0 4 6 4 | * * * * * * * * * * * 6 | 0 0 0 0 0 1 0 0 0 2 | 0 0 0 2 1 ------------+----+-------------+----------------------------+------------------------------------+---------------------------+---------- x x3o x . . ♦ 12 | 6 12 6 0 | 6 3 0 4 6 0 0 0 0 | 2 3 0 0 0 0 2 0 0 0 0 0 | 12 * * * * * * * * * | 1 1 0 0 0 x x3o . . x ♦ 12 | 6 12 0 6 | 6 0 3 4 0 6 0 0 0 | 2 0 3 0 0 0 0 2 0 0 0 0 | * 12 * * * * * * * * | 0 1 1 0 0 x x . x3o . ♦ 12 | 6 6 12 0 | 3 6 0 0 6 0 4 0 0 | 0 3 0 2 0 0 0 0 2 0 0 0 | * * 12 * * * * * * * | 1 0 0 1 0 x x . x . x ♦ 16 | 8 8 8 8 | 4 4 4 0 4 4 0 4 0 | 0 2 2 0 2 0 0 0 0 2 0 0 | * * * 18 * * * * * * | 0 1 0 1 0 x x . . o3x ♦ 12 | 6 6 0 12 | 3 0 6 0 0 6 0 0 4 | 0 0 3 0 0 2 0 0 0 0 2 0 | * * * * 12 * * * * * | 0 0 1 1 0 x . . x3o3x ♦ 24 | 12 0 24 24 | 0 12 12 0 0 0 8 12 8 | 0 0 0 4 6 4 0 0 0 0 0 2 | * * * * * 3 * * * * | 0 0 0 2 0 . x3o x3o . ♦ 9 | 0 9 9 0 | 0 0 0 3 9 0 3 0 0 | 0 0 0 0 0 0 3 0 3 0 0 0 | * * * * * * 8 * * * | 1 0 0 0 1 . x3o x . x ♦ 12 | 0 12 6 6 | 0 0 0 4 6 6 0 3 0 | 0 0 0 0 0 0 2 2 0 3 0 0 | * * * * * * * 12 * * | 0 1 0 0 1 . x3o . o3x ♦ 9 | 0 9 0 9 | 0 0 0 3 0 9 0 0 3 | 0 0 0 0 0 0 0 3 0 0 3 0 | * * * * * * * * 8 * | 0 0 1 0 1 . x . x3o3x ♦ 24 | 0 12 24 24 | 0 0 0 0 12 12 8 12 8 | 0 0 0 0 0 0 0 0 4 6 4 2 | * * * * * * * * * 6 | 0 0 0 1 1 ------------+----+-------------+----------------------------+------------------------------------+---------------------------+---------- x x3o x3o . ♦ 18 | 9 18 18 0 | 9 9 0 6 18 0 6 0 0 | 3 9 0 3 0 0 6 0 6 0 0 0 | 3 0 3 0 0 0 2 0 0 0 | 4 * * * * x x3o x . x ♦ 24 | 12 24 12 12 | 12 6 6 8 12 12 0 6 0 | 4 6 6 0 3 0 4 4 0 6 0 0 | 2 2 0 3 0 0 0 2 0 0 | * 6 * * * x x3o . o3x ♦ 18 | 9 18 0 18 | 9 0 9 6 0 18 0 0 6 | 3 0 9 0 0 3 0 6 0 0 6 0 | 0 3 0 0 3 0 0 0 2 0 | * * 4 * * x x . x3o3x ♦ 48 | 24 24 48 48 | 12 24 24 0 24 24 16 24 16 | 0 12 12 8 12 8 0 0 8 12 8 4 | 0 0 4 6 4 2 0 0 0 2 | * * * 3 * . x3o x3o3x ♦ 36 | 0 36 36 36 | 0 0 0 12 36 36 12 18 12 | 0 0 0 0 0 0 12 12 12 18 12 3 | 0 0 0 0 0 0 4 6 4 3 | * * * * 2
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