Acronym | trope (old: troctip) |
Name | triangle-octahedron duoprismatic prism |
Circumradius | sqrt(13/12) = 1.040833 |
Volume | sqrt(6)/12 = 0.204124 |
Face vector | 36, 126, 186, 144, 61, 13 |
Confer |
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Incidence matrix according to Dynkin symbol
x x3o x3o4o . . . . . . | 36 | 1 2 4 | 2 4 1 8 4 | 1 8 4 4 8 1 | 4 8 1 4 2 | 4 2 1 ------------+----+----------+----------------+-----------------+--------------+------ x . . . . . | 2 | 18 * * | 2 4 0 0 0 | 1 8 4 0 0 0 | 4 8 1 0 0 | 4 2 0 . x . . . . | 2 | * 36 * | 1 0 1 4 0 | 1 4 0 4 4 0 | 4 4 0 4 1 | 4 1 1 . . . x . . | 2 | * * 72 | 0 1 0 2 2 | 0 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1 ------------+----+----------+----------------+-----------------+--------------+------ x x . . . . | 4 | 2 2 0 | 18 * * * * | 1 4 0 0 0 0 | 4 4 0 0 0 | 4 1 0 x . . x . . | 4 | 2 0 2 | * 36 * * * | 0 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0 . x3o . . . | 3 | 0 3 0 | * * 12 * * | 1 0 0 4 0 0 | 4 0 0 4 0 | 4 0 1 . x . x . . | 4 | 0 2 2 | * * * 72 * | 0 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1 . . . x3o . | 3 | 0 0 3 | * * * * 48 | 0 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1 ------------+----+----------+----------------+-----------------+--------------+------ x x3o . . . ♦ 6 | 3 6 0 | 3 0 2 0 0 | 6 * * * * * | 4 0 0 0 0 | 4 0 0 x x . x . . ♦ 8 | 4 4 4 | 2 2 0 2 0 | * 36 * * * * | 1 2 0 0 0 | 2 1 0 x . . x3o . ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 24 * * * | 0 2 1 0 0 | 1 2 0 . x3o x . . ♦ 6 | 0 6 3 | 0 0 2 3 0 | * * * 24 * * | 1 0 0 2 0 | 2 0 1 . x . x3o . ♦ 6 | 0 3 6 | 0 0 0 3 2 | * * * * 48 * | 0 1 0 1 1 | 1 1 1 . . . x3o4o ♦ 6 | 0 0 12 | 0 0 0 0 8 | * * * * * 6 | 0 0 1 0 2 | 0 2 1 ------------+----+----------+----------------+-----------------+--------------+------ x x3o x . . ♦ 12 | 6 12 6 | 6 3 4 6 0 | 2 3 0 2 0 0 | 12 * * * * | 2 0 0 x x . x3o . ♦ 12 | 6 6 12 | 3 6 0 6 4 | 0 3 2 0 2 0 | * 24 * * * | 1 1 0 x . . x3o4o ♦ 12 | 6 0 24 | 0 12 0 0 16 | 0 0 8 0 0 2 | * * 3 * * | 0 2 0 . x3o x3o . ♦ 9 | 0 9 9 | 0 0 3 9 3 | 0 0 0 3 3 0 | * * * 16 * | 1 0 1 . x . x3o4o ♦ 12 | 0 6 24 | 0 0 0 12 16 | 0 0 0 0 8 2 | * * * * 6 | 0 1 1 ------------+----+----------+----------------+-----------------+--------------+------ x x3o x3o . ♦ 18 | 9 18 18 | 9 9 6 18 6 | 3 9 3 6 6 0 | 3 3 0 2 0 | 8 * * x x . x3o4o ♦ 24 | 12 12 48 | 6 24 0 24 32 | 0 12 16 0 16 4 | 0 8 2 0 2 | * 3 * . x3o x3o4o ♦ 18 | 0 18 36 | 0 0 6 36 24 | 0 0 0 12 24 3 | 0 0 0 8 3 | * * 2
x x3o o3x3o . . . . . . | 36 | 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 | 18 * * | 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 | * 36 * | 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 | * * 72 | 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 | 18 * * * * * | 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 | * 36 * * * * | 0 2 1 1 0 0 0 0 | 1 2 2 1 0 0 0 | 1 1 2 0 . x3o . . . | 3 | 0 3 0 | * * 12 * * * | 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 | * * * 72 * * | 0 1 0 0 1 1 1 0 | 1 1 1 0 1 1 1 | 1 1 1 1 . . . o3x . | 3 | 0 0 3 | * * * * 24 * | 0 0 1 0 0 2 0 1 | 0 2 0 1 1 0 2 | 1 0 2 1 . . . . x3o | 3 | 0 0 3 | * * * * * 24 | 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 | 6 * * * * * * * | 4 0 0 0 0 0 0 | 2 2 0 0 x x . . x . ♦ 8 | 4 4 4 | 2 2 0 2 0 0 | * 36 * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 x . . o3x . ♦ 6 | 3 0 6 | 0 3 0 0 2 0 | * * 12 * * * * * | 0 2 0 1 0 0 0 | 1 0 2 0 x . . . x3o ♦ 6 | 3 0 6 | 0 3 0 0 0 2 | * * * 12 * * * * | 0 0 2 1 0 0 0 | 0 1 2 0 . x3o . x . ♦ 6 | 0 6 3 | 0 0 2 3 0 0 | * * * * 24 * * * | 1 0 0 0 1 1 0 | 1 1 0 1 . x . o3x . ♦ 6 | 0 3 6 | 0 0 0 3 2 0 | * * * * * 24 * * | 0 1 0 0 1 0 1 | 1 0 1 1 . x . . x3o ♦ 6 | 0 3 6 | 0 0 0 3 0 2 | * * * * * * 24 * | 0 0 1 0 0 1 1 | 0 1 1 1 . . . o3x3o ♦ 6 | 0 0 12 | 0 0 0 0 4 4 | * * * * * * * 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 | 12 * * * * * * | 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 | * 12 * * * * * | 1 0 1 0 x x . . x3o ♦ 12 | 6 6 12 | 3 6 0 6 0 4 | 0 3 0 2 0 0 2 0 | * * 12 * * * * | 0 1 1 0 x . . o3x3o ♦ 12 | 6 0 24 | 0 12 0 0 8 8 | 0 0 4 4 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 | * * * * 8 * * | 1 0 0 1 . x3o . x3o ♦ 9 | 0 9 9 | 0 0 3 9 0 3 | 0 0 0 0 3 0 3 0 | * * * * * 8 * | 0 1 0 1 . x . o3x3o ♦ 12 | 0 6 24 | 0 0 0 12 8 8 | 0 0 0 0 0 4 4 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 | 4 * * * x x3o . x3o ♦ 18 | 9 18 18 | 9 9 6 18 0 6 | 3 9 0 3 6 0 6 0 | 3 0 3 0 2 0 0 | * 4 * * x x . o3x3o ♦ 24 | 12 12 48 | 6 24 0 24 16 16 | 0 12 8 8 0 8 8 4 | 0 4 4 2 0 0 2 | * * 3 * . x3o o3x3o ♦ 18 | 0 18 36 | 0 0 6 36 12 12 | 0 0 0 0 12 12 12 3 | 0 0 0 0 4 4 3 | * * * 2
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