| Acronym | ... |
| Name | 2dah (?) |
| Circumradius | sqrt(5/8) = 0.790569 |
| General of army | hin |
| Colonel of regiment | hin |
| Confer |
|
Looks like a compound of 2 dishexadecatera (dah), and indeed all elements except the vertices coincide by pairs. In fact the vertex figure itself is the Grünbaumian double-covered 2firp.
Incidence matrix according to Dynkin symbol
_x_
_3 3/2
o o
\ /
3 3
o--3--o
x3o3o3o3o3/2*a . . . . . | 16 ♦ 20 | 30 30 | 20 30 20 | 5 10 10 5 ---------------+----+-----+---------+----------+------------ x . . . . | 2 | 160 | 3 3 | 3 6 3 | 1 3 3 1 ---------------+----+-----+---------+----------+------------ x3o . . . | 3 | 3 | 160 * | 2 2 0 | 1 2 1 0 x . . . o3/2*a | 3 | 3 | * 160 | 0 2 2 | 0 1 2 1 ---------------+----+-----+---------+----------+------------ x3o3o . . ♦ 4 | 6 | 4 0 | 80 * * | 1 1 0 0 x3o . . o3/2*a ♦ 6 | 12 | 4 4 | * 80 * | 0 1 1 0 x . . o3o3/2*a ♦ 4 | 6 | 0 4 | * * 80 | 0 0 1 1 ---------------+----+-----+---------+----------+------------ x3o3o3o . ♦ 5 | 10 | 10 0 | 5 0 0 | 16 * * * x3o3o . o3/2*a ♦ 10 | 30 | 20 10 | 5 5 0 | * 16 * * x3o . o3o3/2*a ♦ 10 | 30 | 10 20 | 0 5 5 | * * 16 * x . o3o3o3/2*a ♦ 5 | 10 | 0 10 | 0 0 5 | * * * 16
_x_
_3 3_
o o
\ /
3 3/2
o--3--o
x3o3o3o3/2o3*a . . . . . | 16 ♦ 20 | 30 30 | 20 30 20 | 5 10 10 5 ---------------+----+-----+---------+----------+------------ x . . . . | 2 | 160 | 3 3 | 3 6 3 | 1 3 3 1 ---------------+----+-----+---------+----------+------------ x3o . . . | 3 | 3 | 160 * | 2 2 0 | 1 2 1 0 x . . . o3*a | 3 | 3 | * 160 | 0 2 2 | 0 1 2 1 ---------------+----+-----+---------+----------+------------ x3o3o . . ♦ 4 | 6 | 4 0 | 80 * * | 1 1 0 0 x3o . . o3*a ♦ 6 | 12 | 4 4 | * 80 * | 0 1 1 0 x . . o3/2o3*a ♦ 4 | 6 | 0 4 | * * 80 | 0 0 1 1 ---------------+----+-----+---------+----------+------------ x3o3o3o . ♦ 5 | 10 | 10 0 | 5 0 0 | 16 * * * x3o3o . o3*a ♦ 10 | 30 | 20 10 | 5 5 0 | * 16 * * x3o . o3/2o3*a ♦ 10 | 30 | 10 20 | 0 5 5 | * * 16 * x . o3o3/2o3*a ♦ 5 | 10 | 0 10 | 0 0 5 | * * * 16
_x_
_3 3_
o o
\ /
3 3
o-3/2-o
x3o3o3/2o3o3*a . . . . . | 16 ♦ 20 | 30 30 | 20 30 20 | 5 10 10 5 ---------------+----+-----+---------+----------+------------ x . . . . | 2 | 160 | 3 3 | 3 6 3 | 1 3 3 1 ---------------+----+-----+---------+----------+------------ x3o . . . | 3 | 3 | 160 * | 2 2 0 | 1 2 1 0 x . . . o3*a | 3 | 3 | * 160 | 0 2 2 | 0 1 2 1 ---------------+----+-----+---------+----------+------------ x3o3o . . ♦ 4 | 6 | 4 0 | 80 * * | 1 1 0 0 x3o . . o3*a ♦ 6 | 12 | 4 4 | * 80 * | 0 1 1 0 x . . o3o3*a ♦ 4 | 6 | 0 4 | * * 80 | 0 0 1 1 ---------------+----+-----+---------+----------+------------ x3o3o3/2o . ♦ 5 | 10 | 10 0 | 5 0 0 | 16 * * * x3o3o . o3*a ♦ 10 | 30 | 20 10 | 5 5 0 | * 16 * * x3o . o3o3*a ♦ 10 | 30 | 10 20 | 0 5 5 | * * 16 * x . o3/2o3o3*a ♦ 5 | 10 | 0 10 | 0 0 5 | * * * 16
or . . . . . | 16 ♦ 20 | 60 | 40 30 | 10 20 -----------------+----+-----+-----+--------+------ x . . . . | 2 | 160 | 6 | 6 6 | 2 6 -----------------+----+-----+-----+--------+------ x3o . . . & | 3 | 3 | 320 | 2 2 | 1 3 -----------------+----+-----+-----+--------+------ x3o3o . . & ♦ 4 | 6 | 4 | 160 * | 1 1 x3o . . o3*a ♦ 6 | 12 | 8 | * 80 | 0 2 -----------------+----+-----+-----+--------+------ x3o3o3/2o . & ♦ 5 | 10 | 10 | 5 0 | 32 * x3o3o . o3*a & ♦ 10 | 30 | 30 | 5 5 | * 32
_x_
_3 3/2
o o
\ /
3 3/2
o-3/2-o
x3o3o3/2o3/2o3/2*a . . . . . | 16 ♦ 20 | 30 30 | 20 30 20 | 5 10 10 5 -------------------+----+-----+---------+----------+------------ x . . . . | 2 | 160 | 3 3 | 3 6 3 | 1 3 3 1 -------------------+----+-----+---------+----------+------------ x3o . . . | 3 | 3 | 160 * | 2 2 0 | 1 2 1 0 x . . . o3/2*a | 3 | 3 | * 160 | 0 2 2 | 0 1 2 1 -------------------+----+-----+---------+----------+------------ x3o3o . . ♦ 4 | 6 | 4 0 | 80 * * | 1 1 0 0 x3o . . o3/2*a ♦ 6 | 12 | 4 4 | * 80 * | 0 1 1 0 x . . o3/2o3/2*a ♦ 4 | 6 | 0 4 | * * 80 | 0 0 1 1 -------------------+----+-----+---------+----------+------------ x3o3o3/2o . ♦ 5 | 10 | 10 0 | 5 0 0 | 16 * * * x3o3o . o3/2*a ♦ 10 | 30 | 20 10 | 5 5 0 | * 16 * * x3o . o3/2o3/2*a ♦ 10 | 30 | 10 20 | 0 5 5 | * * 16 * x . o3/2o3/2o3/2*a ♦ 5 | 10 | 0 10 | 0 0 5 | * * * 16
_x_
_3 3/2
o o
\ /
3/2 3/2
o--3--o
x3o3/2o3o3/2o3/2*a . . . . . | 16 ♦ 20 | 30 30 | 20 30 20 | 5 10 10 5 -------------------+----+-----+---------+----------+------------ x . . . . | 2 | 160 | 3 3 | 3 6 3 | 1 3 3 1 -------------------+----+-----+---------+----------+------------ x3o . . . | 3 | 3 | 160 * | 2 2 0 | 1 2 1 0 x . . . o3/2*a | 3 | 3 | * 160 | 0 2 2 | 0 1 2 1 -------------------+----+-----+---------+----------+------------ x3o3/2o . . ♦ 4 | 6 | 4 0 | 80 * * | 1 1 0 0 x3o . . o3/2*a ♦ 6 | 12 | 4 4 | * 80 * | 0 1 1 0 x . . o3/2o3/2*a ♦ 4 | 6 | 0 4 | * * 80 | 0 0 1 1 -------------------+----+-----+---------+----------+------------ x3o3/2o3o . ♦ 5 | 10 | 10 0 | 5 0 0 | 16 * * * x3o3/2o . o3/2*a ♦ 10 | 30 | 20 10 | 5 5 0 | * 16 * * x3o . o3/2o3/2*a ♦ 10 | 30 | 10 20 | 0 5 5 | * * 16 * x . o3o3/2o3/2*a ♦ 5 | 10 | 0 10 | 0 0 5 | * * * 16
_x_
_3 3/2
o o
\ /
3/2 3
o-3/2-o
x3o3/2o3/2o3o3/2*a . . . . . | 16 ♦ 20 | 30 30 | 20 30 20 | 5 10 10 5 -------------------+----+-----+---------+----------+------------ x . . . . | 2 | 160 | 3 3 | 3 6 3 | 1 3 3 1 -------------------+----+-----+---------+----------+------------ x3o . . . | 3 | 3 | 160 * | 2 2 0 | 1 2 1 0 x . . . o3/2*a | 3 | 3 | * 160 | 0 2 2 | 0 1 2 1 -------------------+----+-----+---------+----------+------------ x3o3/2o . . ♦ 4 | 6 | 4 0 | 80 * * | 1 1 0 0 x3o . . o3/2*a ♦ 6 | 12 | 4 4 | * 80 * | 0 1 1 0 x . . o3o3/2*a ♦ 4 | 6 | 0 4 | * * 80 | 0 0 1 1 -------------------+----+-----+---------+----------+------------ x3o3/2o3/2o . ♦ 5 | 10 | 10 0 | 5 0 0 | 16 * * * x3o3/2o . o3/2*a ♦ 10 | 30 | 20 10 | 5 5 0 | * 16 * * x3o . o3o3/2*a ♦ 10 | 30 | 10 20 | 0 5 5 | * * 16 * x . o3/2o3o3/2*a ♦ 5 | 10 | 0 10 | 0 0 5 | * * * 16
_x_
_3 3_
o o
\ /
3/2 3/2
o-3/2-o
x3o3/2o3/2o3o3*a . . . . . | 16 ♦ 20 | 30 30 | 20 30 20 | 5 10 10 5 -------------------+----+-----+---------+----------+------------ x . . . . | 2 | 160 | 3 3 | 3 6 3 | 1 3 3 1 -------------------+----+-----+---------+----------+------------ x3o . . . | 3 | 3 | 160 * | 2 2 0 | 1 2 1 0 x . . . o3*a | 3 | 3 | * 160 | 0 2 2 | 0 1 2 1 -------------------+----+-----+---------+----------+------------ x3o3/2o . . ♦ 4 | 6 | 4 0 | 80 * * | 1 1 0 0 x3o . . o3*a ♦ 6 | 12 | 4 4 | * 80 * | 0 1 1 0 x . . o3/2o3*a ♦ 4 | 6 | 0 4 | * * 80 | 0 0 1 1 -------------------+----+-----+---------+----------+------------ x3o3/2o3/2o . ♦ 5 | 10 | 10 0 | 5 0 0 | 16 * * * x3o3/2o . o3*a ♦ 10 | 30 | 20 10 | 5 5 0 | * 16 * * x3o . o3/2o3*a ♦ 10 | 30 | 10 20 | 0 5 5 | * * 16 * x . o3/2o3/2o3*a ♦ 5 | 10 | 0 10 | 0 0 5 | * * * 16
or . . . . . | 16 ♦ 20 | 60 | 40 30 | 10 20 ---------------------+----+-----+-----+--------+------ x . . . . | 2 | 160 | 6 | 6 6 | 2 6 ---------------------+----+-----+-----+--------+------ x3o . . . & | 3 | 3 | 320 | 2 2 | 1 3 ---------------------+----+-----+-----+--------+------ x3o3/2o . . & ♦ 4 | 6 | 4 | 160 * | 1 1 x3o . . o3*a ♦ 6 | 12 | 8 | * 80 | 0 2 ---------------------+----+-----+-----+--------+------ x3o3/2o3/2o . & ♦ 5 | 10 | 10 | 5 0 | 32 * x3o3/2o . o3*a & ♦ 10 | 30 | 30 | 5 5 | * 32
_x_
3/2 3/2
o o
\ /
3 3/2
o--3--o
x3/2o3o3o3/2o3/2*a . . . . . | 16 ♦ 20 | 30 30 | 20 30 20 | 5 10 10 5 -------------------+----+-----+---------+----------+------------ x . . . . | 2 | 160 | 3 3 | 3 6 3 | 1 3 3 1 -------------------+----+-----+---------+----------+------------ x3/2o . . . | 3 | 3 | 160 * | 2 2 0 | 1 2 1 0 x . . . o3/2*a | 3 | 3 | * 160 | 0 2 2 | 0 1 2 1 -------------------+----+-----+---------+----------+------------ x3/2o3o . . ♦ 4 | 6 | 4 0 | 80 * * | 1 1 0 0 x3/2o . . o3/2*a ♦ 6 | 12 | 4 4 | * 80 * | 0 1 1 0 x . . o3/2o3/2*a ♦ 4 | 6 | 0 4 | * * 80 | 0 0 1 1 -------------------+----+-----+---------+----------+------------ x3/2o3o3o . ♦ 5 | 10 | 10 0 | 5 0 0 | 16 * * * x3/2o3o . o3/2*a ♦ 10 | 30 | 20 10 | 5 5 0 | * 16 * * x3/2o . o3/2o3/2*a ♦ 10 | 30 | 10 20 | 0 5 5 | * * 16 * x . o3o3/2o3/2*a ♦ 5 | 10 | 0 10 | 0 0 5 | * * * 16
_x_
3/2 3/2
o o
\ /
3 3
o-3/2-o
x3/2o3o3/2o3o3/2*a . . . . . | 16 ♦ 20 | 30 30 | 20 30 20 | 5 10 10 5 -------------------+----+-----+---------+----------+------------ x . . . . | 2 | 160 | 3 3 | 3 6 3 | 1 3 3 1 -------------------+----+-----+---------+----------+------------ x3/2o . . . | 3 | 3 | 160 * | 2 2 0 | 1 2 1 0 x . . . o3/2*a | 3 | 3 | * 160 | 0 2 2 | 0 1 2 1 -------------------+----+-----+---------+----------+------------ x3/2o3o . . ♦ 4 | 6 | 4 0 | 80 * * | 1 1 0 0 x3/2o . . o3/2*a ♦ 6 | 12 | 4 4 | * 80 * | 0 1 1 0 x . . o3o3/2*a ♦ 4 | 6 | 0 4 | * * 80 | 0 0 1 1 -------------------+----+-----+---------+----------+------------ x3/2o3o3/2o . ♦ 5 | 10 | 10 0 | 5 0 0 | 16 * * * x3/2o3o . o3/2*a ♦ 10 | 30 | 20 10 | 5 5 0 | * 16 * * x3/2o . o3o3/2*a ♦ 10 | 30 | 10 20 | 0 5 5 | * * 16 * x . o3/2o3o3/2*a ♦ 5 | 10 | 0 10 | 0 0 5 | * * * 16
or . . . . . | 16 ♦ 20 | 60 | 40 30 | 10 20 ---------------------+----+-----+-----+--------+------ x . . . . | 2 | 160 | 6 | 6 6 | 2 6 ---------------------+----+-----+-----+--------+------ x3/2o . . . & | 3 | 3 | 320 | 2 2 | 1 3 ---------------------+----+-----+-----+--------+------ x3/2o3o . . & ♦ 4 | 6 | 4 | 160 * | 1 1 x3/2o . . o3/2*a ♦ 6 | 12 | 8 | * 80 | 0 2 ---------------------+----+-----+-----+--------+------ x3/2o3o3/2o . & ♦ 5 | 10 | 10 | 5 0 | 32 * x3/2o3o . o3/2*a & ♦ 10 | 30 | 30 | 5 5 | * 32
_x_
3/2 3/2
o o
\ /
3/2 3/2
o-3/2-o
x3/2o3/2o3/2o3/2o3/2*a . . . . . | 16 ♦ 20 | 30 30 | 20 30 20 | 5 10 10 5 -----------------------+----+-----+---------+----------+------------ x . . . . | 2 | 160 | 3 3 | 3 6 3 | 1 3 3 1 -----------------------+----+-----+---------+----------+------------ x3/2o . . . | 3 | 3 | 160 * | 2 2 0 | 1 2 1 0 x . . . o3/2*a | 3 | 3 | * 160 | 0 2 2 | 0 1 2 1 -----------------------+----+-----+---------+----------+------------ x3/2o3/2o . . ♦ 4 | 6 | 4 0 | 80 * * | 1 1 0 0 x3/2o . . o3/2*a ♦ 6 | 12 | 4 4 | * 80 * | 0 1 1 0 x . . o3/2o3/2*a ♦ 4 | 6 | 0 4 | * * 80 | 0 0 1 1 -----------------------+----+-----+---------+----------+------------ x3/2o3/2o3/2o . ♦ 5 | 10 | 10 0 | 5 0 0 | 16 * * * x3/2o3/2o . o3/2*a ♦ 10 | 30 | 20 10 | 5 5 0 | * 16 * * x3/2o . o3/2o3/2*a ♦ 10 | 30 | 10 20 | 0 5 5 | * * 16 * x . o3/2o3/2o3/2*a ♦ 5 | 10 | 0 10 | 0 0 5 | * * * 16
or . . . . . | 16 ♦ 20 | 60 | 40 30 | 10 20 -------------------------+----+-----+-----+--------+------ x . . . . | 2 | 160 | 6 | 6 6 | 2 6 -------------------------+----+-----+-----+--------+------ x3/2o . . . & | 3 | 3 | 320 | 2 2 | 1 3 -------------------------+----+-----+-----+--------+------ x3/2o3/2o . . & ♦ 4 | 6 | 4 | 160 * | 1 1 x3/2o . . o3/2*a ♦ 6 | 12 | 8 | * 80 | 0 2 -------------------------+----+-----+-----+--------+------ x3/2o3/2o3/2o . & ♦ 5 | 10 | 10 | 5 0 | 32 * x3/2o3/2o . o3/2*a & ♦ 10 | 30 | 30 | 5 5 | * 32
© 2004-2025 | top of page |