Acronym ohix
Name octagon - hexateron duoprism
Circumradius sqrt[(17+6 sqrt(2))/12] = 1.457317
Volume [1+sqrt(2)] sqrt(3)/240 = 0.017423
Confer
more general:
n,hix-dip  
general polytopal classes:
segmentoexa  

As abstract polytope ohix is isomorphic to stohix, thereby replacing octagons by octagrams, resp. op by stop, resp. otet by stotet, resp. open by stopen.


Incidence matrix according to Dynkin symbol

x3o3o3o3o x4x

. . . . . . . | 48 |   5  1  1 |  10  5  5 1 |  10 10 10  5 |  5 10 10 10 | 1  5  5 10 | 1 1 5
--------------+----+-----------+-------------+--------------+-------------+------------+------
x . . . . . . |  2 | 120  *  * |   4  1  1 0 |   6  4  4  1 |  4  6  6  4 | 1  4  4  6 | 1 1 4
. . . . . x . |  2 |   * 24  * |   0  5  0 1 |   0 10  0  5 |  0 10  0 10 | 0  5  0 10 | 1 0 5
. . . . . . x |  2 |   *  * 24 |   0  0  5 1 |   0  0 10  5 |  0  0 10 10 | 0  0  5 10 | 0 1 5
--------------+----+-----------+-------------+--------------+-------------+------------+------
x3o . . . . . |  3 |   3  0  0 | 160  *  * * |   3  1  1  0 |  3  3  3  1 | 1  3  3  3 | 1 1 3
x . . . . x . |  4 |   2  2  0 |   * 60  * * |   0  4  0  1 |  0  6  0  4 | 0  4  0  6 | 1 0 4
x . . . . . x |  4 |   2  0  2 |   *  * 60 * |   0  0  4  1 |  0  0  6  4 | 0  0  4  6 | 0 1 4
. . . . . x4x |  8 |   0  4  4 |   *  *  * 6    0  0  0  5 |  0  0  0 10 | 0  0  0 10 | 0 0 5
--------------+----+-----------+-------------+--------------+-------------+------------+------
x3o3o . . . .   4 |   6  0  0 |   4  0  0 0 | 120  *  *  * |  2  1  1  0 | 1  2  2  1 | 1 1 2
x3o . . . x .   6 |   6  3  0 |   2  3  0 0 |   * 80  *  * |  0  3  0  1 | 0  3  0  3 | 1 0 3
x3o . . . . x   6 |   6  0  3 |   2  0  3 0 |   *  * 80  * |  0  0  3  1 | 0  0  3  3 | 0 1 3
x . . . . x4x  16 |   8  8  8 |   0  4  4 2 |   *  *  * 15   0  0  0  4 | 0  0  0  6 | 0 0 4
--------------+----+-----------+-------------+--------------+-------------+------------+------
x3o3o3o . . .   5 |  10  0  0 |  10  0  0 0 |   5  0  0  0 | 48  *  *  * | 1  1  1  0 | 1 1 1
x3o3o . . x .   8 |  12  4  0 |   8  6  0 0 |   2  4  0  0 |  * 60  *  * | 0  2  0  1 | 1 0 2
x3o3o . . . x   8 |  12  0  4 |   8  0  6 0 |   2  0  4  0 |  *  * 60  * | 0  0  2  1 | 0 1 2
x3o . . . x4x  24 |  24 12 12 |   8 12 12 3 |   0  4  4  3 |  *  *  * 20 | 0  0  0  3 | 0 0 3
--------------+----+-----------+-------------+--------------+-------------+------------+------
x3o3o3o3o . .   6 |  15  0  0 |  20  0  0 0 |  15  0  0  0 |  6  0  0  0 | 8  *  *  * | 1 1 0
x3o3o3o . x .  10 |  20  5  0 |  20 10  0 0 |  10 10  0  0 |  2  5  0  0 | * 24  *  * | 1 0 1
x3o3o3o . . x  10 |  20  0  5 |  20  0 10 0 |  10  0 10  0 |  2  0  5  0 | *  * 24  * | 0 1 1
x3o3o . . x4x  32 |  48 16 16 |  32 24 24 4 |   8 16 16  6 |  0  4  4  4 | *  *  * 15 | 0 0 2
--------------+----+-----------+-------------+--------------+-------------+------------+------
x3o3o3o3o x .  12 |  30  6  0 |  40 15  0 0 |  30 20  0  0 | 12 15  0  0 | 2  6  0  0 | 4 * *
x3o3o3o3o . x  12 |  30  0  6 |  40  0 15 0 |  30  0 20  0 | 12  0 15  0 | 2  0  6  0 | * 4 *
x3o3o3o . x4x  40 |  80 20 20 |  80 40 40 5 |  40 40 40 10 |  8 20 20 10 | 0  4  4  5 | * * 6

ox3oo3oo3oo xx4xx&#x   → height = sqrt(3/5) = 0.774597
({8} || open)

o.3o.3o.3o. o.4o.    | 8  * | 1 1  5  0  0  0 | 1 10  5  5  0  0  0 0 | 10 10 10 5  0  0  0  0 |  5 10 10 10 0  0  0  0 | 1  5  5 10 0 0 0 | 1 1 5 0
.o3.o3.o3.o .o4.o    | * 40 | 0 0  1  4  1  1 | 0  4  1  1  6  4  4 1 |  6  4  4 1  4  6  6  4 |  4  6  6  4 1  4  4  6 | 1  4  4  6 1 1 4 | 1 1 4 1
---------------------+------+-----------------+-----------------------+------------------------+------------------------+------------------+--------
.. .. .. .. x. ..    | 2  0 | 4 *  *  *  *  * | 1  0  5  0  0  0  0 0 |  0 10  0 5  0  0  0  0 |  0 10  0 10 0  0  0  0 | 0  5  0 10 0 0 0 | 1 0 5 0
.. .. .. .. .. x.    | 2  0 | * 4  *  *  *  * | 1  0  0  5  0  0  0 0 |  0  0 10 5  0  0  0  0 |  0  0 10 10 0  0  0  0 | 0  0  5 10 0 0 0 | 0 1 5 0
oo3oo3oo3oo oo4oo&#x | 1  1 | * * 40  *  *  * | 0  4  1  1  0  0  0 0 |  6  4  4 1  0  0  0  0 |  4  6  6  4 0  0  0  0 | 1  4  4  6 0 0 0 | 1 1 4 0
.x .. .. .. .. ..    | 0  2 | * *  * 80  *  * | 0  1  0  0  3  1  1 0 |  3  1  1 0  3  3  3  1 |  3  3  3  1 1  3  3  3 | 1  3  3  3 1 1 3 | 1 1 3 1
.. .. .. .. .x ..    | 0  2 | * *  *  * 20  * | 0  0  1  0  0  4  0 1 |  0  4  0 1  0  6  0  4 |  0  6  0  4 0  4  0  6 | 0  4  0  6 1 0 4 | 1 0 4 1
.. .. .. .. .. .x    | 0  2 | * *  *  *  * 20 | 0  0  0  1  0  0  4 1 |  0  0  4 1  0  0  6  4 |  0  0  6  4 0  0  4  6 | 0  0  4  6 0 1 4 | 0 1 4 1
---------------------+------+-----------------+-----------------------+------------------------+------------------------+------------------+--------
.. .. .. .. x.4x.    | 8  0 | 4 4  0  0  0  0 | 1  *  *  *  *  *  * *   0  0  0 5  0  0  0  0 |  0  0  0 10 0  0  0  0 | 0  0  0 10 0 0 0 | 0 0 5 0
ox .. .. .. .. ..&#x | 1  2 | 0 0  2  1  0  0 | * 80  *  *  *  *  * * |  3  1  1 0  0  0  0  0 |  3  3  3  1 0  0  0  0 | 1  3  3  3 0 0 0 | 1 1 3 0
.. .. .. .. xx ..&#x | 2  2 | 1 0  2  0  1  0 | *  * 20  *  *  *  * * |  0  4  0 1  0  0  0  0 |  0  6  0  4 0  0  0  0 | 0  4  0  6 0 0 0 | 1 0 4 0
.. .. .. .. .. xx&#x | 2  2 | 0 1  2  0  0  1 | *  *  * 20  *  *  * * |  0  0  4 1  0  0  0  0 |  0  0  6  4 0  0  0  0 | 0  0  4  6 0 0 0 | 0 1 4 0
.x3.o .. .. .. ..    | 0  3 | 0 0  0  3  0  0 | *  *  *  * 80  *  * * |  1  0  0 0  2  1  1  0 |  2  1  1  0 1  2  2  1 | 1  2  2  1 1 1 2 | 1 1 2 1
.x .. .. .. .x ..    | 0  4 | 0 0  0  2  2  0 | *  *  *  *  * 40  * * |  0  1  0 0  0  3  0  1 |  0  3  0  1 0  3  0  3 | 0  3  0  3 1 0 3 | 1 0 3 1
.x .. .. .. .. .x    | 0  4 | 0 0  0  2  0  2 | *  *  *  *  *  * 40 * |  0  0  1 0  0  0  3  1 |  0  0  3  1 0  0  3  3 | 0  0  3  3 0 1 3 | 0 1 3 1
.. .. .. .. .x4.x    | 0  8 | 0 0  0  0  4  4 | *  *  *  *  *  *  * 5   0  0  0 1  0  0  0  4 |  0  0  0  4 0  0  0  6 | 0  0  0  6 0 0 4 | 0 0 4 1
---------------------+------+-----------------+-----------------------+------------------------+------------------------+------------------+--------
ox3oo .. .. .. ..&#x  1  3 | 0 0  3  3  0  0 | 0  3  0  0  1  0  0 0 | 80  *  * *  *  *  *  * |  2  1  1  0 0  0  0  0 | 1  2  2  1 0 0 0 | 1 1 2 0
ox .. .. .. xx ..&#x  2  4 | 1 0  4  2  2  0 | 0  2  2  0  0  1  0 0 |  * 40  * *  *  *  *  * |  0  3  0  1 0  0  0  0 | 0  3  0  3 0 0 0 | 1 0 3 0
ox .. .. .. .. xx&#x  2  4 | 0 1  4  2  0  2 | 0  2  0  2  0  0  1 0 |  *  * 40 *  *  *  *  * |  0  0  3  1 0  0  0  0 | 0  0  3  3 0 0 0 | 0 1 3 0
.. .. .. .. xx4xx&#x  8  8 | 4 4  8  0  4  4 | 1  0  4  4  0  0  0 1 |  *  *  * 5  *  *  *  *   0  0  0  4 0  0  0  0 | 0  0  0  6 0 0 0 | 0 0 4 0
.x3.o3.o .. .. ..     0  4 | 0 0  0  6  0  0 | 0  0  0  0  4  0  0 0 |  *  *  * * 40  *  *  * |  1  0  0  0 1  1  1  0 | 1  1  1  0 1 1 1 | 1 1 1 1
.x3.o .. .. .x ..     0  6 | 0 0  0  6  3  0 | 0  0  0  0  2  3  0 0 |  *  *  * *  * 40  *  * |  0  1  0  0 0  2  0  1 | 0  2  0  1 1 0 2 | 1 0 2 1
.x3.o .. .. .. .x     0  6 | 0 0  0  6  0  3 | 0  0  0  0  2  0  3 0 |  *  *  * *  *  * 40  * |  0  0  1  0 0  0  2  1 | 0  0  2  1 0 1 2 | 0 1 2 1
.x .. .. .. .x4.x     0 16 | 0 0  0  8  8  8 | 0  0  0  0  0  4  4 2 |  *  *  * *  *  *  * 10   0  0  0  1 0  0  0  3 | 0  0  0  3 0 0 3 | 0 0 3 1
---------------------+------+-----------------+-----------------------+------------------------+------------------------+------------------+--------
ox3oo3oo .. .. ..&#x |1  4 | 0 0  4  6  0  0 | 0  6  0  0  4  0  0 0 |  4  0  0 0  1  0  0  0 | 40  *  *  * *  *  *  * | 1  1  1  0 0 0 0 | 1 1 1 0
ox3oo .. .. xx ..&#x  2  6 | 1 0  6  6  3  0 | 0  6  3  0  2  3  0 0 |  2  3  0 0  0  1  0  0 |  * 40  *  * *  *  *  * | 0  2  0  1 0 0 0 | 1 0 2 0
ox3oo .. .. .. xx&#x  2  6 | 0 1  6  6  0  3 | 0  6  0  3  2  0  3 0 |  2  0  3 0  0  0  1  0 |  *  * 40  * *  *  *  * | 0  0  2  1 0 0 0 | 0 1 2 0
ox .. .. .. xx4xx&#x  8 16 | 4 4 16  8  8  8 | 1  8  8  8  0  4  4 2 |  0  4  4 2  0  0  0  1 |  *  *  * 10 *  *  *  * | 0  0  0  3 0 0 0 | 0 0 3 0
.x3.o3.o3.o .. ..     0  5 | 0 0  0 10  0  0 | 0  0  0  0 10  0  0 0 |  0  0  0 0  5  0  0  0 |  *  *  *  * 8  *  *  * | 1  0  0  0 1 1 0 | 1 1 0 1
.x3.o3.o .. .x ..     0  8 | 0 0  0 12  4  0 | 0  0  0  0  8  6  0 0 |  0  0  0 0  2  4  0  0 |  *  *  *  * * 20  *  * | 0  1  0  0 1 0 1 | 1 0 1 1
.x3.o3.o .. .. .x     0  8 | 0 0  0 12  0  4 | 0  0  0  0  8  0  6 0 |  0  0  0 0  2  0  4  0 |  *  *  *  * *  * 20  * | 0  0  1  0 0 1 1 | 0 1 1 1
.x3.o .. .. .x4.x     0 24 | 0 0  0 24 12 12 | 0  0  0  0  8 12 12 3 |  0  0  0 0  0  4  4  3 |  *  *  *  * *  *  * 10 | 0  0  0  1 0 0 2 | 0 0 2 1
---------------------+------+-----------------+-----------------------+------------------------+------------------------+------------------+--------
ox3oo3oo3oo .. ..&#x  1  5 | 0 0  5 10  0  0 | 0 10  0  0 10  0  0 0 | 10  0  0 0  5  0  0  0 |  5  0  0  0 1  0  0  0 | 8  *  *  * * * * | 1 1 0 0
ox3oo3oo .. xx ..&#x  2  8 | 1 0  8 12  4  0 | 0 12  4  0  8  6  0 0 |  8  6  0 0  2  4  0  0 |  2  4  0  0 0  1  0  0 | * 20  *  * * * * | 1 0 1 0
ox3oo3oo .. .. xx&#x  2  8 | 0 1  8 12  0  4 | 0 12  0  4  8  0  6 0 |  8  0  6 0  2  0  4  0 |  2  0  4  0 0  0  1  0 | *  * 20  * * * * | 0 1 1 0
ox3oo .. .. xx4xx&#x  8 24 | 4 4 24 24 12 12 | 1 24 12 12  8 12 12 3 |  8 12 12 3  0  4  4  3 |  0  4  4  3 0  0  0  1 | *  *  * 10 * * * | 0 0 2 0
.x3.o3.o3.o .x ..     0 10 | 0 0  0 20  5  0 | 0  0  0  0 20 10  0 0 |  0  0  0 0 10 10  0  0 |  0  0  0  0 2  5  0  0 | *  *  *  * 4 * * | 1 0 0 1
.x3.o3.o3.o .. .x     0 10 | 0 0  0 20  0  5 | 0  0  0  0 20  0 10 0 |  0  0  0 0 10  0 10  0 |  0  0  0  0 2  0  5  0 | *  *  *  * * 4 * | 0 1 0 1
.x3.o3.o .. .x4.x     0 32 | 0 0  0 48 16 16 | 0  0  0  0 32 24 24 4 |  0  0  0 0  8 16 16  6 |  0  0  0  0 0  4  4  4 | *  *  *  * * * 5 | 0 0 1 1
---------------------+------+-----------------+-----------------------+------------------------+------------------------+------------------+--------
ox3oo3oo3oo xx ..&#x  2 10 | 1 0 10 20  5  0 | 0 20  5  0 20 10  0 0 | 20 10  0 0 10 10  0  0 | 10 10  0  0 2  5  0  0 | 2  5  0  0 1 0 0 | 4 * * *
ox3oo3oo3oo .. xx&#x  2 10 | 0 1 10 20  0  5 | 0 20  0  5 20  0 10 0 | 20  0 10 0 10  0 10  0 | 10  0 10  0 2  0  5  0 | 2  0  5  0 0 1 0 | * 4 * *
ox3oo3oo .. xx4xx&#x  8 32 | 4 4 32 48 16 16 | 1 48 16 16 32 24 24 4 | 32 24 24 4  8 16 16  6 |  8 16 16  6 0  4  4  4 | 0  4  4  4 0 0 1 | * * 5 *
.x3.o3.o3.o .x4.x     0 40 | 0 0  0 80 20 20 | 0  0  0  0 80 40 40 5 |  0  0  0 0 40 40 40 10 |  0  0  0  0 8 20 20 10 | 0  0  0  0 4 4 5 | * * * 1

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