| Acronym | rippix |
| Name | retroprismated hexateron |
| Circumradius | sqrt(17/12) = 1.190238 |
| Colonel of regiment | spix |
| Face vector | 60, 270, 300, 120, 18 |
| Confer |
|
Incidence matrix according to Dynkin symbol
3 3 3
o---x---o---o
3 \ / 3/2
x
o3x3o3o *b3x3/2*c . . . . . | 60 | 6 3 | 3 6 6 3 | 3 3 2 6 1 | 1 3 2 ------------------+----+--------+--------------+----------------+------ . x . . . | 2 | 180 * | 1 2 1 0 | 2 1 1 2 0 | 1 2 1 . . . . x | 2 | * 90 | 0 0 2 2 | 0 1 0 4 1 | 0 2 2 ------------------+----+--------+--------------+----------------+------ o3x . . . | 3 | 3 0 | 60 * * * | 2 1 0 0 0 | 1 2 0 . x3o . . | 3 | 3 0 | * 120 * * | 1 0 1 1 0 | 1 1 1 . x . . *b3x | 6 | 3 3 | * * 60 * | 0 1 0 2 0 | 0 2 1 . . o . x3/2*c | 3 | 0 3 | * * * 60 | 0 0 0 2 1 | 0 1 2 ------------------+----+--------+--------------+----------------+------ o3x3o . . ♦ 6 | 12 0 | 4 4 0 0 | 30 * * * * | 1 1 0 o3x . . *b3x ♦ 12 | 12 6 | 4 0 4 0 | * 15 * * * | 0 2 0 . x3o3o . ♦ 4 | 6 0 | 0 4 0 0 | * * 30 * * | 1 0 1 . x3o . *b3x3/2*c ♦ 12 | 12 12 | 0 4 4 4 | * * * 30 * | 0 1 1 . . o3o x3/2*c ♦ 4 | 0 6 | 0 0 0 4 | * * * * 15 | 0 0 2 ------------------+----+--------+--------------+----------------+------ o3x3o3o . ♦ 10 | 30 0 | 10 20 0 0 | 5 0 5 0 0 | 6 * * o3x3o . *b3x3/2*c ♦ 30 | 60 30 | 20 20 20 10 | 5 5 0 5 0 | * 6 * . x3o3o *b3x3/2*c ♦ 20 | 30 30 | 0 20 10 20 | 0 0 5 5 5 | * * 6
3 3 3/2
o---x---o---o
3 \ / 3/2
x
o3x3o3/2o *b3x3/2*c . . . . . | 60 | 6 3 | 3 6 6 3 | 3 3 2 6 1 | 1 3 2 --------------------+----+--------+--------------+----------------+------ . x . . . | 2 | 180 * | 1 2 1 0 | 2 1 1 2 0 | 1 2 1 . . . . x | 2 | * 90 | 0 0 2 2 | 0 1 0 4 1 | 0 2 2 --------------------+----+--------+--------------+----------------+------ o3x . . . | 3 | 3 0 | 60 * * * | 2 1 0 0 0 | 1 2 0 . x3o . . | 3 | 3 0 | * 120 * * | 1 0 1 1 0 | 1 1 1 . x . . *b3x | 6 | 3 3 | * * 60 * | 0 1 0 2 0 | 0 2 1 . . o . x3/2*c | 3 | 0 3 | * * * 60 | 0 0 0 2 1 | 0 1 2 --------------------+----+--------+--------------+----------------+------ o3x3o . . ♦ 6 | 12 0 | 4 4 0 0 | 30 * * * * | 1 1 0 o3x . . *b3x ♦ 12 | 12 6 | 4 0 4 0 | * 15 * * * | 0 2 0 . x3o3/2o . ♦ 4 | 6 0 | 0 4 0 0 | * * 30 * * | 1 0 1 . x3o . *b3x3/2*c ♦ 12 | 12 12 | 0 4 4 4 | * * * 30 * | 0 1 1 . . o3/2o x3/2*c ♦ 4 | 0 6 | 0 0 0 4 | * * * * 15 | 0 0 2 --------------------+----+--------+--------------+----------------+------ o3x3o3/2o . ♦ 10 | 30 0 | 10 20 0 0 | 5 0 5 0 0 | 6 * * o3x3o . *b3x3/2*c ♦ 30 | 60 30 | 20 20 20 10 | 5 5 0 5 0 | * 6 * . x3o3/2o *b3x3/2*c ♦ 20 | 30 30 | 0 20 10 20 | 0 0 5 5 5 | * * 6
3/2 3 3
o---x---o---o
3 \ / 3/2
x
o3/2x3o3o *b3x3/2*c . . . . . | 60 | 6 3 | 3 6 6 3 | 3 3 2 6 1 | 1 3 2 --------------------+----+--------+--------------+----------------+------ . x . . . | 2 | 180 * | 1 2 1 0 | 2 1 1 2 0 | 1 2 1 . . . . x | 2 | * 90 | 0 0 2 2 | 0 1 0 4 1 | 0 2 2 --------------------+----+--------+--------------+----------------+------ o3/2x . . . | 3 | 3 0 | 60 * * * | 2 1 0 0 0 | 1 2 0 . x3o . . | 3 | 3 0 | * 120 * * | 1 0 1 1 0 | 1 1 1 . x . . *b3x | 6 | 3 3 | * * 60 * | 0 1 0 2 0 | 0 2 1 . . o . x3/2*c | 3 | 0 3 | * * * 60 | 0 0 0 2 1 | 0 1 2 --------------------+----+--------+--------------+----------------+------ o3/2x3o . . ♦ 6 | 12 0 | 4 4 0 0 | 30 * * * * | 1 1 0 o3/2x . . *b3x ♦ 12 | 12 6 | 4 0 4 0 | * 15 * * * | 0 2 0 . x3o3o . ♦ 4 | 6 0 | 0 4 0 0 | * * 30 * * | 1 0 1 . x3o . *b3x3/2*c ♦ 12 | 12 12 | 0 4 4 4 | * * * 30 * | 0 1 1 . . o3o x3/2*c ♦ 4 | 0 6 | 0 0 0 4 | * * * * 15 | 0 0 2 --------------------+----+--------+--------------+----------------+------ o3/2x3o3o . ♦ 10 | 30 0 | 10 20 0 0 | 5 0 5 0 0 | 6 * * o3/2x3o . *b3x3/2*c ♦ 30 | 60 30 | 20 20 20 10 | 5 5 0 5 0 | * 6 * . x3o3o *b3x3/2*c ♦ 20 | 30 30 | 0 20 10 20 | 0 0 5 5 5 | * * 6
3/2 3 3/2
o---x---o---o
3 \ / 3/2
x
o3/2x3o3/2o *b3x3/2*c . . . . . | 60 | 6 3 | 3 6 6 3 | 3 3 2 6 1 | 1 3 2 ----------------------+----+--------+--------------+----------------+------ . x . . . | 2 | 180 * | 1 2 1 0 | 2 1 1 2 0 | 1 2 1 . . . . x | 2 | * 90 | 0 0 2 2 | 0 1 0 4 1 | 0 2 2 ----------------------+----+--------+--------------+----------------+------ o3/2x . . . | 3 | 3 0 | 60 * * * | 2 1 0 0 0 | 1 2 0 . x3o . . | 3 | 3 0 | * 120 * * | 1 0 1 1 0 | 1 1 1 . x . . *b3x | 6 | 3 3 | * * 60 * | 0 1 0 2 0 | 0 2 1 . . o . x3/2*c | 3 | 0 3 | * * * 60 | 0 0 0 2 1 | 0 1 2 ----------------------+----+--------+--------------+----------------+------ o3/2x3o . . ♦ 6 | 12 0 | 4 4 0 0 | 30 * * * * | 1 1 0 o3/2x . . *b3x ♦ 12 | 12 6 | 4 0 4 0 | * 15 * * * | 0 2 0 . x3o3/2o . ♦ 4 | 6 0 | 0 4 0 0 | * * 30 * * | 1 0 1 . x3o . *b3x3/2*c ♦ 12 | 12 12 | 0 4 4 4 | * * * 30 * | 0 1 1 . . o3/2o x3/2*c ♦ 4 | 0 6 | 0 0 0 4 | * * * * 15 | 0 0 2 ----------------------+----+--------+--------------+----------------+------ o3/2x3o3/2o . ♦ 10 | 30 0 | 10 20 0 0 | 5 0 5 0 0 | 6 * * o3/2x3o . *b3x3/2*c ♦ 30 | 60 30 | 20 20 20 10 | 5 5 0 5 0 | * 6 * . x3o3/2o *b3x3/2*c ♦ 20 | 30 30 | 0 20 10 20 | 0 0 5 5 5 | * * 6
3 3/2 3
o---x---o---o
3 \ / 3
x
o3x3/2o3o *b3x3*c . . . . . | 60 | 6 3 | 3 6 6 3 | 3 3 2 6 1 | 1 3 2 ------------------+----+--------+--------------+----------------+------ . x . . . | 2 | 180 * | 1 2 1 0 | 2 1 1 2 0 | 1 2 1 . . . . x | 2 | * 90 | 0 0 2 2 | 0 1 0 4 1 | 0 2 2 ------------------+----+--------+--------------+----------------+------ o3x . . . | 3 | 3 0 | 60 * * * | 2 1 0 0 0 | 1 2 0 . x3/2o . . | 3 | 3 0 | * 120 * * | 1 0 1 1 0 | 1 1 1 . x . . *b3x | 6 | 3 3 | * * 60 * | 0 1 0 2 0 | 0 2 1 . . o . x3*c | 3 | 0 3 | * * * 60 | 0 0 0 2 1 | 0 1 2 ------------------+----+--------+--------------+----------------+------ o3x3/2o . . ♦ 6 | 12 0 | 4 4 0 0 | 30 * * * * | 1 1 0 o3x . . *b3x ♦ 12 | 12 6 | 4 0 4 0 | * 15 * * * | 0 2 0 . x3/2o3o . ♦ 4 | 6 0 | 0 4 0 0 | * * 30 * * | 1 0 1 . x3/2o . *b3x3*c ♦ 12 | 12 12 | 0 4 4 4 | * * * 30 * | 0 1 1 . . o3o x3*c ♦ 4 | 0 6 | 0 0 0 4 | * * * * 15 | 0 0 2 ------------------+----+--------+--------------+----------------+------ o3x3/2o3o . ♦ 10 | 30 0 | 10 20 0 0 | 5 0 5 0 0 | 6 * * o3x3/2o . *b3x3*c ♦ 30 | 60 30 | 20 20 20 10 | 5 5 0 5 0 | * 6 * . x3/2o3o *b3x3*c ♦ 20 | 30 30 | 0 20 10 20 | 0 0 5 5 5 | * * 6
3 3/2 3/2
o---x---o---o
3 \ / 3
x
o3x3/2o3/2o *b3x3*c . . . . . | 60 | 6 3 | 3 6 6 3 | 3 3 2 6 1 | 1 3 2 --------------------+----+--------+--------------+----------------+------ . x . . . | 2 | 180 * | 1 2 1 0 | 2 1 1 2 0 | 1 2 1 . . . . x | 2 | * 90 | 0 0 2 2 | 0 1 0 4 1 | 0 2 2 --------------------+----+--------+--------------+----------------+------ o3x . . . | 3 | 3 0 | 60 * * * | 2 1 0 0 0 | 1 2 0 . x3/2o . . | 3 | 3 0 | * 120 * * | 1 0 1 1 0 | 1 1 1 . x . . *b3x | 6 | 3 3 | * * 60 * | 0 1 0 2 0 | 0 2 1 . . o . x3*c | 3 | 0 3 | * * * 60 | 0 0 0 2 1 | 0 1 2 --------------------+----+--------+--------------+----------------+------ o3x3/2o . . ♦ 6 | 12 0 | 4 4 0 0 | 30 * * * * | 1 1 0 o3x . . *b3x ♦ 12 | 12 6 | 4 0 4 0 | * 15 * * * | 0 2 0 . x3/2o3/2o . ♦ 4 | 6 0 | 0 4 0 0 | * * 30 * * | 1 0 1 . x3/2o . *b3x3*c ♦ 12 | 12 12 | 0 4 4 4 | * * * 30 * | 0 1 1 . . o3/2o x3*c ♦ 4 | 0 6 | 0 0 0 4 | * * * * 15 | 0 0 2 --------------------+----+--------+--------------+----------------+------ o3x3/2o3/2o . ♦ 10 | 30 0 | 10 20 0 0 | 5 0 5 0 0 | 6 * * o3x3/2o . *b3x3*c ♦ 30 | 60 30 | 20 20 20 10 | 5 5 0 5 0 | * 6 * . x3/2o3/2o *b3x3*c ♦ 20 | 30 30 | 0 20 10 20 | 0 0 5 5 5 | * * 6
3/2 3/2 3
o---x---o---o
3 \ / 3
x
o3/2x3/2o3o *b3x3*c . . . . . | 60 | 6 3 | 3 6 6 3 | 3 3 2 6 1 | 1 3 2 --------------------+----+--------+--------------+----------------+------ . x . . . | 2 | 180 * | 1 2 1 0 | 2 1 1 2 0 | 1 2 1 . . . . x | 2 | * 90 | 0 0 2 2 | 0 1 0 4 1 | 0 2 2 --------------------+----+--------+--------------+----------------+------ o3/2x . . . | 3 | 3 0 | 60 * * * | 2 1 0 0 0 | 1 2 0 . x3/2o . . | 3 | 3 0 | * 120 * * | 1 0 1 1 0 | 1 1 1 . x . . *b3x | 6 | 3 3 | * * 60 * | 0 1 0 2 0 | 0 2 1 . . o . x3*c | 3 | 0 3 | * * * 60 | 0 0 0 2 1 | 0 1 2 --------------------+----+--------+--------------+----------------+------ o3/2x3/2o . . ♦ 6 | 12 0 | 4 4 0 0 | 30 * * * * | 1 1 0 o3/2x . . *b3x ♦ 12 | 12 6 | 4 0 4 0 | * 15 * * * | 0 2 0 . x3/2o3o . ♦ 4 | 6 0 | 0 4 0 0 | * * 30 * * | 1 0 1 . x3/2o . *b3x3*c ♦ 12 | 12 12 | 0 4 4 4 | * * * 30 * | 0 1 1 . . o3o x3*c ♦ 4 | 0 6 | 0 0 0 4 | * * * * 15 | 0 0 2 --------------------+----+--------+--------------+----------------+------ o3/2x3/2o3o . ♦ 10 | 30 0 | 10 20 0 0 | 5 0 5 0 0 | 6 * * o3/2x3/2o . *b3x3*c ♦ 30 | 60 30 | 20 20 20 10 | 5 5 0 5 0 | * 6 * . x3/2o3o *b3x3*c ♦ 20 | 30 30 | 0 20 10 20 | 0 0 5 5 5 | * * 6
3/2 3/2 3/2
o---x---o---o
3 \ / 3
x
o3/2x3/2o3/2o *b3x3*c . . . . . | 60 | 6 3 | 3 6 6 3 | 3 3 2 6 1 | 1 3 2 ----------------------+----+--------+--------------+----------------+------ . x . . . | 2 | 180 * | 1 2 1 0 | 2 1 1 2 0 | 1 2 1 . . . . x | 2 | * 90 | 0 0 2 2 | 0 1 0 4 1 | 0 2 2 ----------------------+----+--------+--------------+----------------+------ o3/2x . . . | 3 | 3 0 | 60 * * * | 2 1 0 0 0 | 1 2 0 . x3/2o . . | 3 | 3 0 | * 120 * * | 1 0 1 1 0 | 1 1 1 . x . . *b3x | 6 | 3 3 | * * 60 * | 0 1 0 2 0 | 0 2 1 . . o . x3*c | 3 | 0 3 | * * * 60 | 0 0 0 2 1 | 0 1 2 ----------------------+----+--------+--------------+----------------+------ o3/2x3/2o . . ♦ 6 | 12 0 | 4 4 0 0 | 30 * * * * | 1 1 0 o3/2x . . *b3x ♦ 12 | 12 6 | 4 0 4 0 | * 15 * * * | 0 2 0 . x3/2o3/2o . ♦ 4 | 6 0 | 0 4 0 0 | * * 30 * * | 1 0 1 . x3/2o . *b3x3*c ♦ 12 | 12 12 | 0 4 4 4 | * * * 30 * | 0 1 1 . . o3/2o x3*c ♦ 4 | 0 6 | 0 0 0 4 | * * * * 15 | 0 0 2 ----------------------+----+--------+--------------+----------------+------ o3/2x3/2o3/2o . ♦ 10 | 30 0 | 10 20 0 0 | 5 0 5 0 0 | 6 * * o3/2x3/2o . *b3x3*c ♦ 30 | 60 30 | 20 20 20 10 | 5 5 0 5 0 | * 6 * . x3/2o3/2o *b3x3*c ♦ 20 | 30 30 | 0 20 10 20 | 0 0 5 5 5 | * * 6
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