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
more general:
n-tricu  
uniform relative:
oco  
general polytopal classes:
segmentotera   lace simplices  

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

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