Acronym | gippix |
Name |
great prismated hexateron, runcicantitruncated hexateron |
Field of sections |
© |
Circumradius | sqrt(20/3) = 2.581989 |
Vertex figure |
© © |
Face vector | 360, 900, 810, 315, 47 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x3x3x3x3o . . . . . | 360 | 1 1 1 2 | 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1 ----------+-----+-----------------+--------------------------+----------------------+---------- x . . . . | 2 | 180 * * * | 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 . x . . . | 2 | * 180 * * | 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 . . x . . | 2 | * * 180 * | 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1 . . . x . | 2 | * * * 360 | 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1 ----------+-----+-----------------+--------------------------+----------------------+---------- x3x . . . | 6 | 3 3 0 0 | 60 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 90 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 x . . x . | 4 | 2 0 0 2 | * * 180 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 . x3x . . | 6 | 0 3 3 0 | * * * 60 * * * | 1 0 0 0 2 0 0 | 2 0 0 1 . x . x . | 4 | 0 2 0 2 | * * * * 180 * * | 0 1 0 0 1 1 0 | 1 1 0 1 . . x3x . | 6 | 0 0 3 3 | * * * * * 120 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . x3o | 3 | 0 0 0 3 | * * * * * * 120 | 0 0 0 1 0 1 1 | 0 1 1 1 ----------+-----+-----------------+--------------------------+----------------------+---------- x3x3x . . ♦ 24 | 12 12 12 0 | 4 6 0 4 0 0 0 | 15 * * * * * * | 2 0 0 0 x3x . x . ♦ 12 | 6 6 0 6 | 2 0 3 0 3 0 0 | * 60 * * * * * | 1 1 0 0 x . x3x . ♦ 12 | 6 0 6 6 | 0 3 3 0 0 2 0 | * * 60 * * * * | 1 0 1 0 x . . x3o ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 2 | * * * 60 * * * | 0 1 1 0 . x3x3x . ♦ 24 | 0 12 12 12 | 0 0 0 4 6 4 0 | * * * * 30 * * | 1 0 0 1 . x . x3o ♦ 6 | 0 3 0 6 | 0 0 0 0 3 0 2 | * * * * * 60 * | 0 1 0 1 . . x3x3o ♦ 12 | 0 0 6 12 | 0 0 0 0 0 4 4 | * * * * * * 30 | 0 0 1 1 ----------+-----+-----------------+--------------------------+----------------------+---------- x3x3x3x . ♦ 120 | 60 60 60 60 | 20 30 30 20 30 20 0 | 5 10 10 0 5 0 0 | 6 * * * x3x . x3o ♦ 18 | 9 9 0 18 | 3 0 9 0 9 0 6 | 0 3 0 3 0 3 0 | * 20 * * x . x3x3o ♦ 24 | 12 0 12 24 | 0 6 12 0 0 8 8 | 0 0 4 4 0 0 2 | * * 15 * . x3x3x3o ♦ 60 | 0 30 30 60 | 0 0 0 10 30 20 20 | 0 0 0 0 5 10 5 | * * * 6
x3x3x3x3/2o . . . . . | 360 | 1 1 1 2 | 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1 ------------+-----+-----------------+--------------------------+----------------------+---------- x . . . . | 2 | 180 * * * | 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 . x . . . | 2 | * 180 * * | 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 . . x . . | 2 | * * 180 * | 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1 . . . x . | 2 | * * * 360 | 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1 ------------+-----+-----------------+--------------------------+----------------------+---------- x3x . . . | 6 | 3 3 0 0 | 60 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 90 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 x . . x . | 4 | 2 0 0 2 | * * 180 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 . x3x . . | 6 | 0 3 3 0 | * * * 60 * * * | 1 0 0 0 2 0 0 | 2 0 0 1 . x . x . | 4 | 0 2 0 2 | * * * * 180 * * | 0 1 0 0 1 1 0 | 1 1 0 1 . . x3x . | 6 | 0 0 3 3 | * * * * * 120 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . x3/2o | 3 | 0 0 0 3 | * * * * * * 120 | 0 0 0 1 0 1 1 | 0 1 1 1 ------------+-----+-----------------+--------------------------+----------------------+---------- x3x3x . . ♦ 24 | 12 12 12 0 | 4 6 0 4 0 0 0 | 15 * * * * * * | 2 0 0 0 x3x . x . ♦ 12 | 6 6 0 6 | 2 0 3 0 3 0 0 | * 60 * * * * * | 1 1 0 0 x . x3x . ♦ 12 | 6 0 6 6 | 0 3 3 0 0 2 0 | * * 60 * * * * | 1 0 1 0 x . . x3/2o ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 2 | * * * 60 * * * | 0 1 1 0 . x3x3x . ♦ 24 | 0 12 12 12 | 0 0 0 4 6 4 0 | * * * * 30 * * | 1 0 0 1 . x . x3/2o ♦ 6 | 0 3 0 6 | 0 0 0 0 3 0 2 | * * * * * 60 * | 0 1 0 1 . . x3x3/2o ♦ 12 | 0 0 6 12 | 0 0 0 0 0 4 4 | * * * * * * 30 | 0 0 1 1 ------------+-----+-----------------+--------------------------+----------------------+---------- x3x3x3x . ♦ 120 | 60 60 60 60 | 20 30 30 20 30 20 0 | 5 10 10 0 5 0 0 | 6 * * * x3x . x3/2o ♦ 18 | 9 9 0 18 | 3 0 9 0 9 0 6 | 0 3 0 3 0 3 0 | * 20 * * x . x3x3/2o ♦ 24 | 12 0 12 24 | 0 6 12 0 0 8 8 | 0 0 4 4 0 0 2 | * * 15 * . x3x3x3/2o ♦ 60 | 0 30 30 60 | 0 0 0 10 30 20 20 | 0 0 0 0 5 10 5 | * * * 6
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