Acronym otut
Name octagon - truncated-tetrahedron duoprism
Circumradius sqrt[(19+4 sqrt(2))/8] = 1.755593
Volume 23[2+sqrt(2)]/6 = 13.087819
Face vector 96, 240, 220, 90, 16
Confer
more general:
n-tut-dip  
general polytopal classes:
Wythoffian polytera  
External
links
polytopewiki  

As abstract polytope otut is isomorphic to stotut, thereby replacing octagons by octagrams, resp. replacing op by stop as well as todip by tistodip and hodip by histodip.


Incidence matrix according to Dynkin symbol

x8o x3x3o  

. . . . . | 96 |  2  1  2 |  1  2  4  2  1 | 1  2  4  2 1 | 2 1 2
----------+----+----------+----------------+--------------+------
x . . . . |  2 | 96  *  * |  1  1  2  0  0 | 1  2  2  1 0 | 2 1 1
. . x . . |  2 |  * 48  * |  0  2  0  2  0 | 1  0  4  0 1 | 2 0 2
. . . x . |  2 |  *  * 96 |  0  0  2  1  1 | 0  1  2  2 1 | 1 1 2
----------+----+----------+----------------+--------------+------
x8o . . . |  8 |  8  0  0 | 12  *  *  *  * | 1  2  0  0 0 | 2 1 0
x . x . . |  4 |  2  2  0 |  * 48  *  *  * | 1  0  2  0 0 | 2 0 1
x . . x . |  4 |  2  0  2 |  *  * 96  *  * | 0  1  1  1 0 | 1 1 1
. . x3x . |  6 |  0  3  3 |  *  *  * 32  * | 0  0  2  0 1 | 1 0 2
. . . x3o |  3 |  0  0  3 |  *  *  *  * 32 | 0  0  0  2 1 | 0 1 2
----------+----+----------+----------------+--------------+------
x8o x . .  16 | 16  8  0 |  2  8  0  0  0 | 6  *  *  * * | 2 0 0
x8o . x .  16 | 16  0  8 |  2  0  8  0  0 | * 12  *  * * | 1 1 0
x . x3x .  12 |  6  6  6 |  0  3  3  2  0 | *  * 32  * * | 1 0 1
x . . x3o   6 |  3  0  6 |  0  0  3  0  2 | *  *  * 32 * | 0 1 1
. . x3x3o  12 |  0  6 12 |  0  0  0  4  4 | *  *  *  * 8 | 0 0 2
----------+----+----------+----------------+--------------+------
x8o x3x .  48 | 48 24 24 |  6 24 24  8  0 | 3  3  8  0 0 | 4 * *
x8o . x3o  24 | 24  0 24 |  3  0 24  0  8 | 0  3  0  8 0 | * 4 *
x . x3x3o  24 | 12 12 24 |  0  6 12  8  8 | 0  0  4  4 2 | * * 8

x4x x3x3o

. . . . . | 96 |  1  1  1  2 |  1  1  2  1  2  2  1 | 1  2  2  1  2  1 1 | 2 1 1 1
----------+----+-------------+----------------------+--------------------+--------
x . . . . |  2 | 48  *  *  * |  1  1  2  0  0  0  0 | 1  2  2  1  0  0 0 | 2 1 1 0
. x . . . |  2 |  * 48  *  * |  1  0  0  1  2  0  0 | 1  2  0  0  2  1 0 | 2 1 0 1
. . x . . |  2 |  *  * 48  * |  0  1  0  1  0  2  0 | 1  0  2  0  2  0 1 | 2 0 1 1
. . . x . |  2 |  *  *  * 96 |  0  0  1  0  1  1  1 | 0  1  1  1  1  1 1 | 1 1 1 1
----------+----+-------------+----------------------+--------------------+--------
x4x . . . |  8 |  4  4  0  0 | 12  *  *  *  *  *  * | 1  2  0  0  0  0 0 | 2 1 0 0
x . x . . |  4 |  2  0  2  0 |  * 24  *  *  *  *  * | 1  0  2  0  0  0 0 | 2 0 1 0
x . . x . |  4 |  2  0  0  2 |  *  * 48  *  *  *  * | 0  1  1  1  0  0 0 | 1 1 1 0
. x x . . |  4 |  0  2  2  0 |  *  *  * 24  *  *  * | 1  0  0  0  2  0 0 | 2 0 0 1
. x . x . |  4 |  0  2  0  2 |  *  *  *  * 48  *  * | 0  1  0  0  1  1 0 | 1 1 0 1
. . x3x . |  6 |  0  0  3  3 |  *  *  *  *  * 32  * | 0  0  1  0  1  0 1 | 1 0 1 1
. . . x3o |  3 |  0  0  0  3 |  *  *  *  *  *  * 32 | 0  0  0  1  0  1 1 | 0 1 1 1
----------+----+-------------+----------------------+--------------------+--------
x4x x . .  16 |  8  8  8  0 |  2  4  0  4  0  0  0 | 6  *  *  *  *  * * | 2 0 0 0
x4x . x .  16 |  8  8  0  8 |  2  0  4  0  4  0  0 | * 12  *  *  *  * * | 1 1 0 0
x . x3x .  12 |  6  0  6  6 |  0  3  3  0  0  2  0 | *  * 16  *  *  * * | 1 0 1 0
x . . x3o   6 |  3  0  0  6 |  0  0  3  0  0  0  2 | *  *  * 16  *  * * | 0 1 1 0
. x x3x .  12 |  0  6  6  6 |  0  0  0  3  3  2  0 | *  *  *  * 16  * * | 1 0 0 1
. x . x3o   6 |  0  3  0  6 |  0  0  0  0  3  0  2 | *  *  *  *  * 16 * | 0 1 0 1
. . x3x3o  12 |  0  0  6 12 |  0  0  0  0  0  4  4 | *  *  *  *  *  * 8 | 0 0 1 1
----------+----+-------------+----------------------+--------------------+--------
x4x x3x .  48 | 24 24 24 24 |  6 12 12 12 12  8  0 | 3  3  4  0  4  0 0 | 4 * * *
x4x . x3o  24 | 12 12  0 24 |  3  0 12  0 12  0  8 | 0  3  0  4  0  4 0 | * 4 * *
x . x3x3o  24 | 12  0 12 24 |  0  6 12  0  0  8  8 | 0  0  4  4  0  0 2 | * * 4 *
. x x3x3o  24 |  0 12 12 24 |  0  0  0  6 12  8  8 | 0  0  0  0  4  4 2 | * * * 4

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