| Acronym | ... |
| Name | 2rinhit (?) |
| Circumradius | 1 |
| General of army | rat |
| Colonel of regiment | rat |
| Confer |
|
This Grünbaumian polyteron indeed has all elements in coincident pairs.
Incidence matrix according to Dynkin symbol
o o
3 \ / 3
o
3 / \ 3/2
x---x
3
o3o3x3x3/2*b3o . . . . . | 80 | 6 6 | 12 12 6 | 4 4 12 4 4 | 4 1 1 4 ---------------+----+---------+------------+----------------+------------ . . x . . | 2 | 240 * | 4 0 1 | 2 0 4 2 0 | 2 1 0 2 . . . x . | 2 | * 240 | 0 4 1 | 0 2 4 0 2 | 2 0 1 2 ---------------+----+---------+------------+----------------+------------ . o3x . . | 3 | 3 0 | 320 * * | 1 0 1 1 0 | 1 1 0 1 . o . x3/2*b . | 3 | 0 3 | * 320 * | 0 1 1 0 1 | 1 0 1 1 . . x3x . | 6 | 3 3 | * * 80 | 0 0 4 0 0 | 2 0 0 2 ---------------+----+---------+------------+----------------+------------ o3o3x . . ♦ 4 | 6 0 | 4 0 0 | 80 * * * * | 1 1 0 0 o3o . x3/2*b . ♦ 4 | 0 6 | 0 4 0 | * 80 * * * | 1 0 1 0 . o3x3x3/2*b . ♦ 12 | 12 12 | 4 4 4 | * * 80 * * | 1 0 0 1 . o3x . *b3o ♦ 4 | 6 0 | 4 0 0 | * * * 80 * | 0 1 0 1 . o . x3/2*b3o ♦ 4 | 0 6 | 0 4 0 | * * * * 80 | 0 0 1 1 ---------------+----+---------+------------+----------------+------------ o3o3x3x3/2*b . ♦ 20 | 30 30 | 20 20 10 | 5 5 5 0 0 | 16 * * * o3o3x . *b3o ♦ 8 | 24 0 | 32 0 0 | 8 0 0 8 0 | * 10 * * o3o . x3/2*b3o ♦ 8 | 0 24 | 0 32 0 | 0 8 0 0 8 | * * 10 * . o3x3x3/2*b3o ♦ 20 | 30 30 | 20 20 10 | 0 0 5 5 5 | * * * 16
o o
3 \ / 3/2
o
3 / \ 3/2
x---x
3
o3o3x3x3/2*b3/2o . . . . . | 80 | 6 6 | 12 12 6 | 4 4 12 4 4 | 4 1 1 4 -----------------+----+---------+------------+----------------+------------ . . x . . | 2 | 240 * | 4 0 1 | 2 0 4 2 0 | 2 1 0 2 . . . x . | 2 | * 240 | 0 4 1 | 0 2 4 0 2 | 2 0 1 2 -----------------+----+---------+------------+----------------+------------ . o3x . . | 3 | 3 0 | 320 * * | 1 0 1 1 0 | 1 1 0 1 . o . x3/2*b . | 3 | 0 3 | * 320 * | 0 1 1 0 1 | 1 0 1 1 . . x3x . | 6 | 3 3 | * * 80 | 0 0 4 0 0 | 2 0 0 2 -----------------+----+---------+------------+----------------+------------ o3o3x . . ♦ 4 | 6 0 | 4 0 0 | 80 * * * * | 1 1 0 0 o3o . x3/2*b . ♦ 4 | 0 6 | 0 4 0 | * 80 * * * | 1 0 1 0 . o3x3x3/2*b . ♦ 12 | 12 12 | 4 4 4 | * * 80 * * | 1 0 0 1 . o3x . *b3/2o ♦ 4 | 6 0 | 4 0 0 | * * * 80 * | 0 1 0 1 . o . x3/2*b3/2o ♦ 4 | 0 6 | 0 4 0 | * * * * 80 | 0 0 1 1 -----------------+----+---------+------------+----------------+------------ o3o3x3x3/2*b . ♦ 20 | 30 30 | 20 20 10 | 5 5 5 0 0 | 16 * * * o3o3x . *b3/2o ♦ 8 | 24 0 | 32 0 0 | 8 0 0 8 0 | * 10 * * o3o . x3/2*b3/2o ♦ 8 | 0 24 | 0 32 0 | 0 8 0 0 8 | * * 10 * . o3x3x3/2*b3/2o ♦ 20 | 30 30 | 20 20 10 | 0 0 5 5 5 | * * * 16
o o
3/2 \ / 3/2
o
3 / \ 3/2
x---x
3
o3/2o3x3x3/2*b3/2o . . . . . | 80 | 6 6 | 12 12 6 | 4 4 12 4 4 | 4 1 1 4 -------------------+----+---------+------------+----------------+------------ . . x . . | 2 | 240 * | 4 0 1 | 2 0 4 2 0 | 2 1 0 2 . . . x . | 2 | * 240 | 0 4 1 | 0 2 4 0 2 | 2 0 1 2 -------------------+----+---------+------------+----------------+------------ . o3x . . | 3 | 3 0 | 320 * * | 1 0 1 1 0 | 1 1 0 1 . o . x3/2*b . | 3 | 0 3 | * 320 * | 0 1 1 0 1 | 1 0 1 1 . . x3x . | 6 | 3 3 | * * 80 | 0 0 4 0 0 | 2 0 0 2 -------------------+----+---------+------------+----------------+------------ o3/2o3x . . ♦ 4 | 6 0 | 4 0 0 | 80 * * * * | 1 1 0 0 o3/2o . x3/2*b . ♦ 4 | 0 6 | 0 4 0 | * 80 * * * | 1 0 1 0 . o3x3x3/2*b . ♦ 12 | 12 12 | 4 4 4 | * * 80 * * | 1 0 0 1 . o3x . *b3/2o ♦ 4 | 6 0 | 4 0 0 | * * * 80 * | 0 1 0 1 . o . x3/2*b3/2o ♦ 4 | 0 6 | 0 4 0 | * * * * 80 | 0 0 1 1 -------------------+----+---------+------------+----------------+------------ o3/2o3x3x3/2*b . ♦ 20 | 30 30 | 20 20 10 | 5 5 5 0 0 | 16 * * * o3/2o3x . *b3/2o ♦ 8 | 24 0 | 32 0 0 | 8 0 0 8 0 | * 10 * * o3/2o . x3/2*b3/2o ♦ 8 | 0 24 | 0 32 0 | 0 8 0 0 8 | * * 10 * . o3x3x3/2*b3/2o ♦ 20 | 30 30 | 20 20 10 | 0 0 5 5 5 | * * * 16
3/2 3 4
x---o---o---o
3 \ / 3
x
o4o3o3x3x3/2*c . . . . . | 80 | 6 6 | 12 12 6 | 8 8 12 | 1 1 8 ---------------+----+---------+------------+------------+--------- . . . x . | 2 | 240 * | 4 0 1 | 4 0 4 | 1 0 4 . . . . x | 2 | * 240 | 0 4 1 | 0 4 4 | 0 1 4 ---------------+----+---------+------------+------------+--------- . . o3x . | 3 | 3 0 | 320 * * | 2 0 1 | 1 0 2 . . o . x3/2*c | 3 | 0 3 | * 320 * | 0 2 1 | 0 1 2 . . . x3x | 6 | 3 3 | * * 80 | 0 0 4 | 0 0 4 ---------------+----+---------+------------+------------+--------- . o3o3x . ♦ 4 | 6 0 | 4 0 0 | 160 * * | 1 0 1 . o3o . x3/2*c ♦ 4 | 0 6 | 0 4 0 | * 160 * | 0 1 1 . . o3x3x3/2*c ♦ 12 | 12 12 | 4 4 4 | * * 80 | 0 0 2 ---------------+----+---------+------------+------------+--------- o4o3o3x . ♦ 8 | 24 0 | 32 0 0 | 16 0 0 | 10 * * o4o3o . x3/2*c ♦ 8 | 0 24 | 0 32 0 | 0 16 0 | * 10 * . o3o3x3x3/2*c ♦ 20 | 30 30 | 20 20 10 | 5 5 5 | * * 32
3/2 3/2 4
x---o---o---o
3 \ / 3
x
o4o3/2o3x3x3/2*c . . . . . | 80 | 6 6 | 12 12 6 | 8 8 12 | 1 1 8 -----------------+----+---------+------------+------------+--------- . . . x . | 2 | 240 * | 4 0 1 | 4 0 4 | 1 0 4 . . . . x | 2 | * 240 | 0 4 1 | 0 4 4 | 0 1 4 -----------------+----+---------+------------+------------+--------- . . o3x . | 3 | 3 0 | 320 * * | 2 0 1 | 1 0 2 . . o . x3/2*c | 3 | 0 3 | * 320 * | 0 2 1 | 0 1 2 . . . x3x | 6 | 3 3 | * * 80 | 0 0 4 | 0 0 4 -----------------+----+---------+------------+------------+--------- . o3/2o3x . ♦ 4 | 6 0 | 4 0 0 | 160 * * | 1 0 1 . o3/2o . x3/2*c ♦ 4 | 0 6 | 0 4 0 | * 160 * | 0 1 1 . . o3x3x3/2*c ♦ 12 | 12 12 | 4 4 4 | * * 80 | 0 0 2 -----------------+----+---------+------------+------------+--------- o4o3/2o3x . ♦ 8 | 24 0 | 32 0 0 | 16 0 0 | 10 * * o4o3/2o . x3/2*c ♦ 8 | 0 24 | 0 32 0 | 0 16 0 | * 10 * . o3/2o3x3x3/2*c ♦ 20 | 30 30 | 20 20 10 | 5 5 5 | * * 32
3/2 3 4/3
x---o---o---o
3 \ / 3
x
o4/3o3o3x3x3/2*c . . . . . | 80 | 6 6 | 12 12 6 | 8 8 12 | 1 1 8 -----------------+----+---------+------------+------------+--------- . . . x . | 2 | 240 * | 4 0 1 | 4 0 4 | 1 0 4 . . . . x | 2 | * 240 | 0 4 1 | 0 4 4 | 0 1 4 -----------------+----+---------+------------+------------+--------- . . o3x . | 3 | 3 0 | 320 * * | 2 0 1 | 1 0 2 . . o . x3/2*c | 3 | 0 3 | * 320 * | 0 2 1 | 0 1 2 . . . x3x | 6 | 3 3 | * * 80 | 0 0 4 | 0 0 4 -----------------+----+---------+------------+------------+--------- . o3o3x . ♦ 4 | 6 0 | 4 0 0 | 160 * * | 1 0 1 . o3o . x3/2*c ♦ 4 | 0 6 | 0 4 0 | * 160 * | 0 1 1 . . o3x3x3/2*c ♦ 12 | 12 12 | 4 4 4 | * * 80 | 0 0 2 -----------------+----+---------+------------+------------+--------- o4/3o3o3x . ♦ 8 | 24 0 | 32 0 0 | 16 0 0 | 10 * * o4/3o3o . x3/2*c ♦ 8 | 0 24 | 0 32 0 | 0 16 0 | * 10 * . o3o3x3x3/2*c ♦ 20 | 30 30 | 20 20 10 | 5 5 5 | * * 32
3/2 3/2 4/3
x---o---o---o
3 \ / 3
x
o4/3o3/2o3x3x3/2*c . . . . . | 80 | 6 6 | 12 12 6 | 8 8 12 | 1 1 8 -------------------+----+---------+------------+------------+--------- . . . x . | 2 | 240 * | 4 0 1 | 4 0 4 | 1 0 4 . . . . x | 2 | * 240 | 0 4 1 | 0 4 4 | 0 1 4 -------------------+----+---------+------------+------------+--------- . . o3x . | 3 | 3 0 | 320 * * | 2 0 1 | 1 0 2 . . o . x3/2*c | 3 | 0 3 | * 320 * | 0 2 1 | 0 1 2 . . . x3x | 6 | 3 3 | * * 80 | 0 0 4 | 0 0 4 -------------------+----+---------+------------+------------+--------- . o3/2o3x . ♦ 4 | 6 0 | 4 0 0 | 160 * * | 1 0 1 . o3/2o . x3/2*c ♦ 4 | 0 6 | 0 4 0 | * 160 * | 0 1 1 . . o3x3x3/2*c ♦ 12 | 12 12 | 4 4 4 | * * 80 | 0 0 2 -------------------+----+---------+------------+------------+--------- o4/3o3/2o3x . ♦ 8 | 24 0 | 32 0 0 | 16 0 0 | 10 * * o4/3o3/2o . x3/2*c ♦ 8 | 0 24 | 0 32 0 | 0 16 0 | * 10 * . o3/2o3x3x3/2*c ♦ 20 | 30 30 | 20 20 10 | 5 5 5 | * * 32
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