| Acronym | otricu |
| Name |
octagon-tricu duoprism, trip-first half of oco |
| Circumradius | sqrt[2+1/sqrt(2)] = 1.645329 |
| Volume | 5[2+sqrt(2)]/3 = 5.690356 |
| Face vector | 72, 192, 193, 87, 16 |
| Confer |
|
Incidence matrix according to Dynkin symbol
oo8xx ox3xx&#x → height = sqrt(2/3) = 0.816497
(todip || hodip)
o.8o. o.3o. | 24 * | 2 2 2 0 0 0 | 1 4 1 4 1 2 0 0 0 0 | 2 2 2 2 4 1 0 0 0 | 1 1 2 2 0
.o8.o .o3.o | * 48 | 0 0 1 2 1 1 | 0 0 0 2 1 1 1 2 2 1 | 0 0 1 2 2 1 1 1 2 | 0 1 1 2 1
---------------+-------+-------------------+---------------------------+---------------------+----------
.. x. .. .. | 2 0 | 24 * * * * * | 1 2 0 2 0 0 0 0 0 0 | 2 1 2 1 2 0 0 0 0 | 1 1 2 1 0
.. .. .. x. | 2 0 | * 24 * * * * | 0 2 1 0 0 1 0 0 0 0 | 1 2 0 0 2 1 0 0 0 | 1 0 1 2 0
oo8oo oo3oo&#x | 1 1 | * * 48 * * * | 0 0 0 2 1 1 0 0 0 0 | 0 0 1 2 2 1 0 0 0 | 0 1 1 2 0
.. .x .. .. | 0 2 | * * * 48 * * | 0 0 0 1 0 0 1 1 1 0 | 0 0 1 1 1 0 1 1 1 | 0 1 1 1 1
.. .. .x .. | 0 2 | * * * * 24 * | 0 0 0 0 1 0 0 2 0 1 | 0 0 0 2 0 1 1 0 2 | 0 1 0 2 1
.. .. .. .x | 0 2 | * * * * * 24 | 0 0 0 0 0 1 0 0 2 1 | 0 0 0 0 2 1 0 1 2 | 0 0 1 2 1
---------------+-------+-------------------+---------------------------+---------------------+----------
o.8x. .. .. | 8 0 | 8 0 0 0 0 0 | 3 * * * * * * * * * | 2 0 2 0 0 0 0 0 0 | 1 1 2 0 0
.. x. .. x. | 4 0 | 2 2 0 0 0 0 | * 24 * * * * * * * * | 1 1 0 0 1 0 0 0 0 | 1 0 1 1 0
.. .. o.3x. | 3 0 | 0 3 0 0 0 0 | * * 8 * * * * * * * | 0 2 0 0 0 1 0 0 0 | 1 0 0 2 0
.. xx .. ..&#x | 2 2 | 1 0 2 1 0 0 | * * * 48 * * * * * * | 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0
.. .. ox ..&#x | 1 2 | 0 0 2 0 1 0 | * * * * 24 * * * * * | 0 0 0 2 0 1 0 0 0 | 0 1 0 2 0
.. .. .. xx&#x | 2 2 | 0 1 2 0 0 1 | * * * * * 24 * * * * | 0 0 0 0 2 1 0 0 0 | 0 0 1 2 0
.o8.x .. .. | 0 8 | 0 0 0 8 0 0 | * * * * * * 6 * * * | 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1
.. .x .x .. | 0 4 | 0 0 0 2 2 0 | * * * * * * * 24 * * | 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
.. .x .. .x | 0 4 | 0 0 0 2 0 2 | * * * * * * * * 24 * | 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
.. .. .x3.x | 0 6 | 0 0 0 0 3 3 | * * * * * * * * * 8 | 0 0 0 0 0 1 0 0 2 | 0 0 0 2 1
---------------+-------+-------------------+---------------------------+---------------------+----------
o.8x. .. x. ♦ 16 0 | 16 8 0 0 0 0 | 2 8 0 0 0 0 0 0 0 0 | 3 * * * * * * * * | 1 0 1 0 0
.. x. o.3x. ♦ 6 0 | 3 6 0 0 0 0 | 0 3 2 0 0 0 0 0 0 0 | * 8 * * * * * * * | 1 0 0 1 0
oo8xx .. ..&#x ♦ 8 8 | 8 0 8 8 0 0 | 1 0 0 8 0 0 1 0 0 0 | * * 6 * * * * * * | 0 1 1 0 0
.. xx ox ..&#x ♦ 2 4 | 1 0 4 2 2 0 | 0 0 0 2 2 0 0 1 0 0 | * * * 24 * * * * * | 0 1 0 1 0
.. xx .. xx&#x ♦ 4 4 | 2 2 4 2 0 2 | 0 1 0 2 0 2 0 0 1 0 | * * * * 24 * * * * | 0 0 1 1 0
.. .. ox3xx&#x ♦ 3 6 | 0 3 6 0 3 3 | 0 0 1 0 3 3 0 0 0 1 | * * * * * 8 * * * | 0 0 0 2 0
.o8.x .x .. ♦ 0 16 | 0 0 0 16 8 0 | 0 0 0 0 0 0 2 8 0 0 | * * * * * * 3 * * | 0 1 0 0 1
.o8.x .. .x ♦ 0 16 | 0 0 0 16 0 8 | 0 0 0 0 0 0 2 0 8 0 | * * * * * * * 3 * | 0 0 1 0 1
.. .x .x3.x ♦ 0 12 | 0 0 0 6 6 6 | 0 0 0 0 0 0 0 3 3 2 | * * * * * * * * 8 | 0 0 0 1 1
---------------+-------+-------------------+---------------------------+---------------------+----------
o.8x. o.3x. ♦ 24 0 | 24 24 0 0 0 0 | 3 24 8 0 0 0 0 0 0 0 | 3 8 0 0 0 0 0 0 0 | 1 * * * *
oo8xx ox ..&#x ♦ 8 16 | 8 0 16 16 8 0 | 1 0 0 16 8 0 2 8 0 0 | 0 0 2 8 0 0 1 0 0 | * 3 * * *
oo8xx .. xx&#x ♦ 16 16 | 16 8 16 16 0 8 | 2 8 0 16 0 8 2 0 8 0 | 1 0 2 0 8 0 0 1 0 | * * 3 * *
.. xx ox3xx&#x ♦ 6 12 | 3 6 12 6 6 6 | 0 3 2 6 6 6 0 3 3 2 | 0 1 0 3 3 2 0 0 1 | * * * 8 *
.o8.x .x3.x ♦ 0 48 | 0 0 0 48 24 24 | 0 0 0 0 0 0 6 24 24 8 | 0 0 0 0 0 0 3 3 8 | * * * * 1
ox3xx xx4xx&#x → height = sqrt(2/3) = 0.816497
(todip || hodip)
o.3o. o.4o. | 24 * | 2 1 1 2 0 0 0 0 | 1 2 2 1 1 2 2 2 0 0 0 0 0 0 | 1 1 2 1 1 1 2 2 2 0 0 0 0 | 1 1 1 1 2 0
.o3.o .o4.o | * 48 | 0 0 0 1 1 1 1 1 | 0 0 0 0 1 1 1 1 1 1 1 1 1 1 | 0 0 0 1 1 1 1 1 1 1 1 1 1 | 0 1 1 1 1 1
---------------+-------+-------------------------+---------------------------------------+-------------------------------+------------
.. x. .. .. | 2 0 | 24 * * * * * * * | 1 1 1 0 0 1 0 0 0 0 0 0 0 0 | 1 1 1 1 0 0 1 1 0 0 0 0 0 | 1 1 1 0 1 0
.. .. x. .. | 2 0 | * 12 * * * * * * | 0 2 0 1 0 0 2 0 0 0 0 0 0 0 | 1 0 2 0 1 0 2 0 2 0 0 0 0 | 1 1 0 1 2 0
.. .. .. x. | 2 0 | * * 12 * * * * * | 0 0 2 1 0 0 0 2 0 0 0 0 0 0 | 0 1 2 0 0 1 0 2 2 0 0 0 0 | 1 0 1 1 2 0
oo3oo oo4oo&#x | 1 1 | * * * 48 * * * * | 0 0 0 0 1 1 1 1 0 0 0 0 0 0 | 0 0 0 1 1 1 1 1 1 0 0 0 0 | 0 1 1 1 1 0
.x .. .. .. | 0 2 | * * * * 24 * * * | 0 0 0 0 1 0 0 0 1 1 1 0 0 0 | 0 0 0 1 1 1 0 0 0 1 1 1 0 | 0 1 1 1 0 1
.. .x .. .. | 0 2 | * * * * * 24 * * | 0 0 0 0 0 1 0 0 1 0 0 1 1 0 | 0 0 0 1 0 0 1 1 0 1 1 0 1 | 0 1 1 0 1 1
.. .. .x .. | 0 2 | * * * * * * 24 * | 0 0 0 0 0 0 1 0 0 1 0 1 0 1 | 0 0 0 0 1 0 1 0 1 1 0 1 1 | 0 1 0 1 1 1
.. .. .. .x | 0 2 | * * * * * * * 24 | 0 0 0 0 0 0 0 1 0 0 1 0 1 1 | 0 0 0 0 0 1 0 1 1 0 1 1 1 | 0 0 1 1 1 1
---------------+-------+-------------------------+---------------------------------------+-------------------------------+------------
o.3x. .. .. | 3 0 | 3 0 0 0 0 0 0 0 | 8 * * * * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
.. x. x. .. | 4 0 | 2 2 0 0 0 0 0 0 | * 12 * * * * * * * * * * * * | 1 0 1 0 0 0 1 0 0 0 0 0 0 | 1 1 0 0 1 0
.. x. .. x. | 4 0 | 2 0 2 0 0 0 0 0 | * * 12 * * * * * * * * * * * | 0 1 1 0 0 0 0 1 0 0 0 0 0 | 1 0 1 0 1 0
.. .. x.4x. | 8 0 | 0 4 4 0 0 0 0 0 | * * * 3 * * * * * * * * * * | 0 0 2 0 0 0 0 0 2 0 0 0 0 | 1 0 0 1 2 0
ox .. .. ..&#x | 1 2 | 0 0 0 2 1 0 0 0 | * * * * 24 * * * * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0
.. xx .. ..&#x | 2 2 | 1 0 0 2 0 1 0 0 | * * * * * 24 * * * * * * * * | 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 1 1 0 1 0
.. .. xx ..&#x | 2 2 | 0 1 0 2 0 0 1 0 | * * * * * * 24 * * * * * * * | 0 0 0 0 1 0 1 0 1 0 0 0 0 | 0 1 0 1 1 0
.. .. .. xx&#x | 2 2 | 0 0 1 2 0 0 0 1 | * * * * * * * 24 * * * * * * | 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 1 1 0
.x3.x .. .. | 0 6 | 0 0 0 0 3 3 0 0 | * * * * * * * * 8 * * * * * | 0 0 0 1 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.x .. .x .. | 0 4 | 0 0 0 0 2 0 2 0 | * * * * * * * * * 12 * * * * | 0 0 0 0 1 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1
.x .. .. .x | 0 4 | 0 0 0 0 2 0 0 2 | * * * * * * * * * * 12 * * * | 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1
.. .x .x .. | 0 4 | 0 0 0 0 0 2 2 0 | * * * * * * * * * * * 12 * * | 0 0 0 0 0 0 1 0 0 1 0 0 1 | 0 1 0 0 1 1
.. .x .. .x | 0 4 | 0 0 0 0 0 2 0 2 | * * * * * * * * * * * * 12 * | 0 0 0 0 0 0 0 1 0 0 1 0 1 | 0 0 1 0 1 1
.. .. .x4.x | 0 8 | 0 0 0 0 0 0 4 4 | * * * * * * * * * * * * * 6 | 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
---------------+-------+-------------------------+---------------------------------------+-------------------------------+------------
o.3x. x. .. ♦ 6 0 | 6 3 0 0 0 0 0 0 | 2 3 0 0 0 0 0 0 0 0 0 0 0 0 | 4 * * * * * * * * * * * * | 1 1 0 0 0 0
o.3x. .. x. ♦ 6 0 | 6 0 3 0 0 0 0 0 | 2 0 3 0 0 0 0 0 0 0 0 0 0 0 | * 4 * * * * * * * * * * * | 1 0 1 0 0 0
.. x. x.4x. ♦ 16 0 | 8 8 8 0 0 0 0 0 | 0 4 4 2 0 0 0 0 0 0 0 0 0 0 | * * 3 * * * * * * * * * * | 1 0 0 0 1 0
ox3xx .. ..&#x ♦ 3 6 | 3 0 0 6 3 3 0 0 | 1 0 0 0 3 3 0 0 1 0 0 0 0 0 | * * * 8 * * * * * * * * * | 0 1 1 0 0 0
ox .. xx ..&#x ♦ 2 4 | 0 1 0 4 2 0 2 0 | 0 0 0 0 2 0 2 0 0 1 0 0 0 0 | * * * * 12 * * * * * * * * | 0 1 0 1 0 0
ox .. .. xx&#x ♦ 2 4 | 0 0 1 4 2 0 0 2 | 0 0 0 0 2 0 0 2 0 0 1 0 0 0 | * * * * * 12 * * * * * * * | 0 0 1 1 0 0
.. xx xx ..&#x ♦ 4 4 | 2 2 0 4 0 2 2 0 | 0 1 0 0 0 2 2 0 0 0 0 1 0 0 | * * * * * * 12 * * * * * * | 0 1 0 0 1 0
.. xx .. xx&#x ♦ 4 4 | 2 0 2 4 0 2 0 2 | 0 0 1 0 0 2 0 2 0 0 0 0 1 0 | * * * * * * * 12 * * * * * | 0 0 1 0 1 0
.. .. xx4xx&#x ♦ 8 8 | 0 4 4 8 0 0 4 4 | 0 0 0 1 0 0 4 4 0 0 0 0 0 1 | * * * * * * * * 6 * * * * | 0 0 0 1 1 0
.x3.x .x .. ♦ 0 12 | 0 0 0 0 6 6 6 0 | 0 0 0 0 0 0 0 0 2 3 0 3 0 0 | * * * * * * * * * 4 * * * | 0 1 0 0 0 1
.x3.x .. .x ♦ 0 12 | 0 0 0 0 6 6 0 6 | 0 0 0 0 0 0 0 0 2 0 3 0 3 0 | * * * * * * * * * * 4 * * | 0 0 1 0 0 1
.x .. .x4.x ♦ 0 16 | 0 0 0 0 8 0 8 8 | 0 0 0 0 0 0 0 0 0 4 4 0 0 2 | * * * * * * * * * * * 3 * | 0 0 0 1 0 1
.. .x .x4.x ♦ 0 16 | 0 0 0 0 0 8 8 8 | 0 0 0 0 0 0 0 0 0 0 0 4 4 2 | * * * * * * * * * * * * 3 | 0 0 0 0 1 1
---------------+-------+-------------------------+---------------------------------------+-------------------------------+------------
o.3x. x.4x. ♦ 24 0 | 24 12 12 0 0 0 0 0 | 8 12 12 3 0 0 0 0 0 0 0 0 0 0 | 4 4 3 0 0 0 0 0 0 0 0 0 0 | 1 * * * * *
ox3xx xx ..&#x ♦ 6 12 | 6 3 0 12 6 6 6 0 | 2 3 0 0 6 6 6 0 2 3 0 3 0 0 | 1 0 0 2 3 0 3 0 0 1 0 0 0 | * 4 * * * *
ox3xx .. xx&#x ♦ 6 12 | 6 0 3 12 6 6 0 6 | 2 0 3 0 6 6 0 6 2 0 3 0 3 0 | 0 1 0 2 0 3 0 3 0 0 1 0 0 | * * 4 * * *
ox .. xx4xx&#x ♦ 8 16 | 0 4 4 16 8 0 8 8 | 0 0 0 1 8 0 8 8 0 4 4 0 0 2 | 0 0 0 0 4 4 0 0 2 0 0 1 0 | * * * 3 * *
.. xx xx4xx&#x ♦ 16 16 | 8 8 8 16 0 8 8 8 | 0 4 4 2 0 8 8 8 0 0 0 4 4 2 | 0 0 1 0 0 0 4 4 2 0 0 0 1 | * * * * 3 *
.x3.x .x4.x ♦ 0 36 | 0 0 0 0 24 24 24 24 | 0 0 0 0 0 0 0 0 8 12 12 12 12 6 | 0 0 0 0 0 0 0 0 0 4 4 3 3 | * * * * * 1
© 2004-2026 | top of page |