| Acronym | (n,m-ap)-dip |
| Name | n-gon - m-antiprism - duoprism |
| Circumradius | sqrt[1/(4 sin2(π/n))+(3-2 cos(π/m))/(8-8 cos(π/m))] |
| Face vector | 2nm, 6nm, 6nm+2n+2m, 2nm+3n+4m, n+2m+2 |
| Especially |
n,oct-dip (m=3) troct (n=3,m=3) squoct (n=4,m=3) poct (n=5,m=3) stoct (n=5/2,m=3) hoct (n=6,m=3) owoct (n=8,m=3) stowoct (n=8/3,m=3) |
| Confer |
|
Incidence matrix according to Dynkin symbol
xx-n-oo xo-m-ox&#x → height = sqrt[(1+2 cos(π/m))/(2+2 cos(π/m))]
(n,m-dip || para-gyro n,m-dip)
o.-n-o. o.-m-o. & | 2nm | 2 2 2 | 1 4 1 4 3 | 2 2 2 6 1 | 1 3 2
---------------------+-----+-------------+-------------------+----------------+-------
x. .. .. .. & | 2 | 2nm * * | 1 2 0 2 0 | 2 1 2 3 0 | 1 3 1
.. .. x. .. & | 2 | * 2nm * | 0 2 1 0 1 | 1 2 0 2 1 | 1 1 2
oo-n-oo oo-m-oo&#x | 2 | * * 2nm | 0 0 0 2 2 | 0 0 1 4 1 | 0 2 2
---------------------+-----+-------------+-------------------+----------------+-------
x.-n-o. .. .. & | n | n 0 0 | 2m * * * * | 2 0 2 0 0 | 1 3 0
x. .. x. .. & | 4 | 2 2 0 | * 2nm * * * | 1 1 0 1 0 | 1 1 1
.. .. x.-m-o. & | m | 0 m 0 | * * 2n * * | 0 2 0 0 1 | 1 0 2
xx .. .. ..&#x | 4 | 2 0 2 | * * * 2nm * | 0 0 1 2 0 | 0 2 1
.. .. xo ..&#x & | 3 | 0 1 2 | * * * * 2nm | 0 0 0 2 1 | 0 1 2
---------------------+-----+-------------+-------------------+----------------+-------
x.-n-o. x. .. & ♦ 2n | 2n n 0 | 2 n 0 0 0 | 2m * * * * | 1 1 0
x. .. x.-m-o. & ♦ 2m | m 2m 0 | 0 m 2 0 0 | * 2n * * * | 1 0 1
xx-n-oo .. ..&#x ♦ 2n | 2n 0 n | 2 0 0 n 0 | * * 2m * * | 0 2 0
xx .. xo ..&#x & ♦ 6 | 3 2 4 | 0 1 0 2 2 | * * * 2nm * | 0 1 1
.. .. xo-m-ox&#x ♦ 2m | 0 2m 2m | 0 0 2 0 2m | * * * * n | 0 0 2
---------------------+-----+-------------+-------------------+----------------+-------
x.-n-o. x.-m-o. & ♦ nm | nm nm 0 | m nm n 0 0 | m n 0 0 0 | 2 * *
xx-n-oo xo ..&#x & ♦ 3n | 3n n 2n | 3 n 0 2n n | 1 0 2 n 0 | * 2m *
xx .. xo-m-ox&#x ♦ 4m | 2m 4m 4m | 0 2m 4 2m 4m | 0 2 0 2m 2 | * * n
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