Acronym opet
Name octahedral-prism tegum,
(line, octahedral prism) duotegum
Circumradius ...
Volume sqrt(2)/15 = 0.094281
Confer
general polytopal classes:
Hanner polytopes  

Incidence matrix according to Dynkin symbol

xo ox ox3oo4oo&#zx   → height = 0
(tegum product of pseudo line with cube)

o. o. o.3o.4o.    | 2  *  12 0  0 |  6 24  0  0 | 12 16 0 0 |  8 2
.o .o .o3.o4.o    | * 12 |  2 1  4 |  2  8  4  4 |  8  8 4 1 |  8 2
------------------+------+---------+-------------+-----------+-----
oo oo oo3oo4oo&#x | 1  1 | 24 *  * |  1  4  0  0 |  4  4 0 0 |  4 1
.. .x .. .. ..    | 0  2 |  * 6  * |  2  0  4  0 |  8  0 4 0 |  8 0
.. .. .x .. ..    | 0  2 |  * * 24 |  0  2  1  2 |  2  4 2 1 |  4 2
------------------+------+---------+-------------+-----------+-----
.. ox .. .. ..&#x | 1  2 |  2 1  0 | 12  *  *  * |  4  0 0 0 |  4 0
.. .. ox .. ..&#x | 1  2 |  2 0  1 |  * 48  *  * |  1  2 0 0 |  2 1
.. .x .x .. ..    | 0  4 |  0 2  2 |  *  * 12  * |  2  0 2 0 |  4 0
.. .. .x3.o ..    | 0  3 |  0 0  3 |  *  *  * 16 |  0  2 1 1 |  2 2
------------------+------+---------+-------------+-----------+-----
.. ox ox .. ..&#x  1  4 |  4 2  2 |  2  2  1  0 | 24  * * * |  2 0
.. .. ox3oo ..&#x  1  3 |  3 0  3 |  0  3  0  1 |  * 32 * * |  1 1
.. .x .x3.o ..     0  6 |  0 3  6 |  0  0  3  2 |  *  * 8 * |  2 0
.. .. .x3.o4.o     0  6 |  0 0 12 |  0  0  0  8 |  *  * * 2 |  0 2
------------------+------+---------+-------------+-----------+-----
.. ox ox3oo ..&#x  1  6 |  6 3  6 |  3  6  3  2 |  3  2 1 0 | 16 *
.. .. ox3oo4oo&#x  1  6 |  6 0 12 |  0 12  0  8 |  0  8 0 1 |  * 4

© 2004-2022
top of page