| Acronym | racpix |
| Name | retrocelliprismated hexateron |
| Circumradius | sqrt(8/3) = 1.632993 |
| General of army | cappix |
| Colonel of regiment | cappix |
| Face vector | 120, 420, 450, 195, 33 |
| Confer |
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Incidence matrix according to Dynkin symbol
3 3 3
x---x---o---o
3 \ / 3/2
x
x3x3o3o *b3x3/2*c . . . . . | 120 | 1 3 3 | 3 3 3 3 3 | 3 3 3 1 3 1 | 1 3 1 1 ------------------+-----+------------+------------------+-------------------+--------- x . . . . | 2 | 60 * * | 3 3 0 0 0 | 3 3 3 0 0 0 | 1 3 1 0 . x . . . | 2 | * 180 * | 1 0 2 1 0 | 2 1 0 1 2 0 | 1 2 0 1 . . . . x | 2 | * * 180 | 0 1 0 1 2 | 0 1 2 0 2 1 | 0 2 1 1 ------------------+-----+------------+------------------+-------------------+--------- x3x . . . | 6 | 3 3 0 | 60 * * * * | 2 1 0 0 0 0 | 1 2 0 0 x . . . x | 4 | 2 0 2 | * 90 * * * | 0 1 2 0 0 0 | 0 2 1 0 . x3o . . | 3 | 0 3 0 | * * 120 * * | 1 0 0 1 1 0 | 1 1 0 1 . x . . *b3x | 6 | 0 3 3 | * * * 60 * | 0 1 0 0 2 0 | 0 2 0 1 . . o . x3/2*c | 3 | 0 0 3 | * * * * 120 | 0 0 1 0 1 1 | 0 1 1 1 ------------------+-----+------------+------------------+-------------------+--------- x3x3o . . ♦ 12 | 6 12 0 | 4 0 4 0 0 | 30 * * * * * | 1 1 0 0 x3x . . *b3x ♦ 24 | 12 12 12 | 4 6 0 4 0 | * 15 * * * * | 0 2 0 0 x . o . x3/2*c ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 60 * * * | 0 1 1 0 . x3o3o . ♦ 4 | 0 6 0 | 0 0 4 0 0 | * * * 30 * * | 1 0 0 1 . x3o . *b3x3/2*c ♦ 12 | 0 12 12 | 0 0 4 4 4 | * * * * 30 * | 0 1 0 1 . . o3o x3/2*c ♦ 4 | 0 0 6 | 0 0 0 0 4 | * * * * * 30 | 0 0 1 1 ------------------+-----+------------+------------------+-------------------+--------- x3x3o3o . ♦ 20 | 10 30 0 | 10 0 20 0 0 | 5 0 0 5 0 0 | 6 * * * x3x3o . *b3x3/2*c ♦ 60 | 30 60 60 | 20 30 20 20 20 | 5 5 10 0 5 0 | * 6 * * x . o3o x3/2*c ♦ 8 | 4 0 12 | 0 6 0 0 8 | 0 0 4 0 0 2 | * * 15 * . x3o3o *b3x3/2*c ♦ 20 | 0 30 30 | 0 0 20 10 20 | 0 0 0 5 5 5 | * * * 6
3 3 3/2
x---x---o---o
3 \ / 3/2
x
x3x3o3/2o *b3x3/2*c . . . . . | 120 | 1 3 3 | 3 3 3 3 3 | 3 3 3 1 3 1 | 1 3 1 1 --------------------+-----+------------+------------------+-------------------+--------- x . . . . | 2 | 60 * * | 3 3 0 0 0 | 3 3 3 0 0 0 | 1 3 1 0 . x . . . | 2 | * 180 * | 1 0 2 1 0 | 2 1 0 1 2 0 | 1 2 0 1 . . . . x | 2 | * * 180 | 0 1 0 1 2 | 0 1 2 0 2 1 | 0 2 1 1 --------------------+-----+------------+------------------+-------------------+--------- x3x . . . | 6 | 3 3 0 | 60 * * * * | 2 1 0 0 0 0 | 1 2 0 0 x . . . x | 4 | 2 0 2 | * 90 * * * | 0 1 2 0 0 0 | 0 2 1 0 . x3o . . | 3 | 0 3 0 | * * 120 * * | 1 0 0 1 1 0 | 1 1 0 1 . x . . *b3x | 6 | 0 3 3 | * * * 60 * | 0 1 0 0 2 0 | 0 2 0 1 . . o . x3/2*c | 3 | 0 0 3 | * * * * 120 | 0 0 1 0 1 1 | 0 1 1 1 --------------------+-----+------------+------------------+-------------------+--------- x3x3o . . ♦ 12 | 6 12 0 | 4 0 4 0 0 | 30 * * * * * | 1 1 0 0 x3x . . *b3x ♦ 24 | 12 12 12 | 4 6 0 4 0 | * 15 * * * * | 0 2 0 0 x . o . x3/2*c ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 60 * * * | 0 1 1 0 . x3o3/2o . ♦ 4 | 0 6 0 | 0 0 4 0 0 | * * * 30 * * | 1 0 0 1 . x3o . *b3x3/2*c ♦ 12 | 0 12 12 | 0 0 4 4 4 | * * * * 30 * | 0 1 0 1 . . o3/2o x3/2*c ♦ 4 | 0 0 6 | 0 0 0 0 4 | * * * * * 30 | 0 0 1 1 --------------------+-----+------------+------------------+-------------------+--------- x3x3o3/2o . ♦ 20 | 10 30 0 | 10 0 20 0 0 | 5 0 0 5 0 0 | 6 * * * x3x3o . *b3x3/2*c ♦ 60 | 30 60 60 | 20 30 20 20 20 | 5 5 10 0 5 0 | * 6 * * x . o3/2o x3/2*c ♦ 8 | 4 0 12 | 0 6 0 0 8 | 0 0 4 0 0 2 | * * 15 * . x3o3/2o *b3x3/2*c ♦ 20 | 0 30 30 | 0 0 20 10 20 | 0 0 0 5 5 5 | * * * 6
3 3/2 3
x---x---o---o
3 \ / 3
x
x3x3/2o3o *b3x3*c . . . . . | 120 | 1 3 3 | 3 3 3 3 3 | 3 3 3 1 3 1 | 1 3 1 1 ------------------+-----+------------+------------------+-------------------+--------- x . . . . | 2 | 60 * * | 3 3 0 0 0 | 3 3 3 0 0 0 | 1 3 1 0 . x . . . | 2 | * 180 * | 1 0 2 1 0 | 2 1 0 1 2 0 | 1 2 0 1 . . . . x | 2 | * * 180 | 0 1 0 1 2 | 0 1 2 0 2 1 | 0 2 1 1 ------------------+-----+------------+------------------+-------------------+--------- x3x . . . | 6 | 3 3 0 | 60 * * * * | 2 1 0 0 0 0 | 1 2 0 0 x . . . x | 4 | 2 0 2 | * 90 * * * | 0 1 2 0 0 0 | 0 2 1 0 . x3/2o . . | 3 | 0 3 0 | * * 120 * * | 1 0 0 1 1 0 | 1 1 0 1 . x . . *b3x | 6 | 0 3 3 | * * * 60 * | 0 1 0 0 2 0 | 0 2 0 1 . . o . x3*c | 3 | 0 0 3 | * * * * 120 | 0 0 1 0 1 1 | 0 1 1 1 ------------------+-----+------------+------------------+-------------------+--------- x3x3/2o . . ♦ 12 | 6 12 0 | 4 0 4 0 0 | 30 * * * * * | 1 1 0 0 x3x . . *b3x ♦ 24 | 12 12 12 | 4 6 0 4 0 | * 15 * * * * | 0 2 0 0 x . o . x3*c ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 60 * * * | 0 1 1 0 . x3/2o3o . ♦ 4 | 0 6 0 | 0 0 4 0 0 | * * * 30 * * | 1 0 0 1 . x3/2o . *b3x3*c ♦ 12 | 0 12 12 | 0 0 4 4 4 | * * * * 30 * | 0 1 0 1 . . o3o x3*c ♦ 4 | 0 0 6 | 0 0 0 0 4 | * * * * * 30 | 0 0 1 1 ------------------+-----+------------+------------------+-------------------+--------- x3x3/2o3o . ♦ 20 | 10 30 0 | 10 0 20 0 0 | 5 0 0 5 0 0 | 6 * * * x3x3/2o . *b3x3*c ♦ 60 | 30 60 60 | 20 30 20 20 20 | 5 5 10 0 5 0 | * 6 * * x . o3o x3*c ♦ 8 | 4 0 12 | 0 6 0 0 8 | 0 0 4 0 0 2 | * * 15 * . x3/2o3o *b3x3*c ♦ 20 | 0 30 30 | 0 0 20 10 20 | 0 0 0 5 5 5 | * * * 6
3 3/2 3/2
x---x---o---o
3 \ / 3
x
x3x3/2o3/2o *b3x3*c . . . . . | 120 | 1 3 3 | 3 3 3 3 3 | 3 3 3 1 3 1 | 1 3 1 1 --------------------+-----+------------+------------------+-------------------+--------- x . . . . | 2 | 60 * * | 3 3 0 0 0 | 3 3 3 0 0 0 | 1 3 1 0 . x . . . | 2 | * 180 * | 1 0 2 1 0 | 2 1 0 1 2 0 | 1 2 0 1 . . . . x | 2 | * * 180 | 0 1 0 1 2 | 0 1 2 0 2 1 | 0 2 1 1 --------------------+-----+------------+------------------+-------------------+--------- x3x . . . | 6 | 3 3 0 | 60 * * * * | 2 1 0 0 0 0 | 1 2 0 0 x . . . x | 4 | 2 0 2 | * 90 * * * | 0 1 2 0 0 0 | 0 2 1 0 . x3/2o . . | 3 | 0 3 0 | * * 120 * * | 1 0 0 1 1 0 | 1 1 0 1 . x . . *b3x | 6 | 0 3 3 | * * * 60 * | 0 1 0 0 2 0 | 0 2 0 1 . . o . x3*c | 3 | 0 0 3 | * * * * 120 | 0 0 1 0 1 1 | 0 1 1 1 --------------------+-----+------------+------------------+-------------------+--------- x3x3/2o . . ♦ 12 | 6 12 0 | 4 0 4 0 0 | 30 * * * * * | 1 1 0 0 x3x . . *b3x ♦ 24 | 12 12 12 | 4 6 0 4 0 | * 15 * * * * | 0 2 0 0 x . o . x3*c ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 60 * * * | 0 1 1 0 . x3/2o3/2o . ♦ 4 | 0 6 0 | 0 0 4 0 0 | * * * 30 * * | 1 0 0 1 . x3/2o . *b3x3*c ♦ 12 | 0 12 12 | 0 0 4 4 4 | * * * * 30 * | 0 1 0 1 . . o3/2o x3*c ♦ 4 | 0 0 6 | 0 0 0 0 4 | * * * * * 30 | 0 0 1 1 --------------------+-----+------------+------------------+-------------------+--------- x3x3/2o3/2o . ♦ 20 | 10 30 0 | 10 0 20 0 0 | 5 0 0 5 0 0 | 6 * * * x3x3/2o . *b3x3*c ♦ 60 | 30 60 60 | 20 30 20 20 20 | 5 5 10 0 5 0 | * 6 * * x . o3/2o x3*c ♦ 8 | 4 0 12 | 0 6 0 0 8 | 0 0 4 0 0 2 | * * 15 * . x3/2o3/2o *b3x3*c ♦ 20 | 0 30 30 | 0 0 20 10 20 | 0 0 0 5 5 5 | * * * 6
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