Acronym tattip
Name truncated-tesseract prism
Circumradius sqrt[11+6 sqrt(2)]/2 = 2.207107
Coordinates ((1+sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2)   & all permutations in all but last coord., all changes of sign
Confer
general polytopal classes:
segmentotera  

As abstract polytope tattip is isomorphic to quititip, thereby replacing the octagons by octagrams, resp. tic by quith and op by stop, resp. ticcup by quithip and tat by quitit.


Incidence matrix according to Dynkin symbol

x o3o3x4x

. . . . . | 128 |  1   3  1 |  3  1   3  3 |  3  3  1  3 |  1 3 1
----------+-----+-----------+--------------+-------------+-------
x . . . . |   2 | 64   *  * |  3  1   0  0 |  3  3  0  0 |  1 3 0
. . . x . |   2 |  * 192  * |  1  0   2  1 |  2  1  1  2 |  1 2 1
. . . . x |   2 |  *   * 64 |  0  1   0  3 |  0  3  0  3 |  0 3 1
----------+-----+-----------+--------------+-------------+-------
x . . x . |   4 |  2   2  0 | 96  *   *  * |  2  1  0  0 |  1 2 0
x . . . x |   4 |  2   0  2 |  * 32   *  * |  0  3  0  0 |  0 3 0
. . o3x . |   3 |  0   3  0 |  *  * 128  * |  1  0  1  1 |  1 1 1
. . . x4x |   8 |  0   4  4 |  *  *   * 48 |  0  1  0  2 |  0 2 1
----------+-----+-----------+--------------+-------------+-------
x . o3x .    6 |  3   6  0 |  3  0   2  0 | 64  *  *  * |  1 1 0
x . . x4x   16 |  8   8  8 |  4  4   0  2 |  * 24  *  * |  0 2 0
. o3o3x .    4 |  0   6  0 |  0  0   4  0 |  *  * 32  * |  1 0 1
. . o3x4x   24 |  0  24 12 |  0  0   8  6 |  *  *  * 16 |  0 1 1
----------+-----+-----------+--------------+-------------+-------
x o3o3x .    8 |  4  12  0 |  6  0   8  0 |  4  0  2  0 | 16 * *
x . o3x4x   48 | 24  48 24 | 24 12  16 12 |  8  6  0  2 |  * 8 *
. o3o3x4x   64 |  0  96 32 |  0  0  64 24 |  0  0 16  8 |  * * 2

oo3oo3xx4xx&#x   → height = 1
(tat || tat)

o.3o.3o.4o.    | 64  * |  3  1  1  0  0 |  3  3  3  1  0  0 |  1 3  3  3  0 0 | 1  1 3 0
.o3.o3.o4.o    |  * 64 |  0  0  1  3  1 |  0  0  3  1  3  3 |  0 0  3  3  1 3 | 0  1 3 1
---------------+-------+----------------+-------------------+-----------------+---------
.. .. x. ..    |  2  0 | 96  *  *  *  * |  2  1  1  0  0  0 |  1 2  2  1  0 0 | 1  1 2 0
.. .. .. x.    |  2  0 |  * 32  *  *  * |  0  3  0  1  0  0 |  0 3  0  3  0 0 | 1  0 3 0
oo3oo3oo4oo&#x |  1  1 |  *  * 64  *  * |  0  0  3  1  0  0 |  0 0  3  3  0 0 | 0  1 3 0
.. .. .x ..    |  0  2 |  *  *  * 96  * |  0  0  1  0  2  1 |  0 0  2  1  1 2 | 0  1 2 1
.. .. .. .x    |  0  2 |  *  *  *  * 32 |  0  0  0  1  0  3 |  0 0  0  3  0 3 | 0  0 3 1
---------------+-------+----------------+-------------------+-----------------+---------
.. o.3x. ..    |  3  0 |  3  0  0  0  0 | 64  *  *  *  *  * |  1 1  1  0  0 0 | 1  1 1 0
.. .. x.4x.    |  8  0 |  4  4  0  0  0 |  * 24  *  *  *  * |  0 2  0  1  0 0 | 1  0 2 0
.. .. xx ..&#x |  2  2 |  1  0  2  1  0 |  *  * 96  *  *  * |  0 0  2  1  0 0 | 0  1 2 0
.. .. .. xx&#x |  2  2 |  0  1  2  0  1 |  *  *  * 32  *  * |  0 0  0  3  0 0 | 0  0 3 0
.. .o3.x ..    |  0  3 |  0  0  0  3  0 |  *  *  *  * 64  * |  0 0  1  0  1 1 | 0  1 1 1
.. .. .x4.x    |  0  8 |  0  0  0  4  4 |  *  *  *  *  * 24 |  0 0  0  1  0 2 | 0  0 2 1
---------------+-------+----------------+-------------------+-----------------+---------
o.3o.3x. ..      4  0 |  6  0  0  0  0 |  4  0  0  0  0  0 | 16 *  *  *  * * | 1  1 0 0
.. o.3x.4x.     24  0 | 24 12  0  0  0 |  8  6  0  0  0  0 |  * 8  *  *  * * | 1  0 1 0
.. oo3xx ..&#x   3  3 |  3  0  3  3  0 |  1  0  3  0  1  0 |  * * 64  *  * * | 0  1 1 0
.. .. xx4xx&#x   8  8 |  4  4  8  4  4 |  0  1  4  4  0  1 |  * *  * 24  * * | 0  0 2 0
.o3.o3.x ..      0  4 |  0  0  0  6  0 |  0  0  0  0  4  0 |  * *  *  * 16 * | 0  1 0 1
.. .o3.x4.x      0 24 |  0  0  0 24 12 |  0  0  0  0  8  6 |  * *  *  *  * 8 | 0  0 1 1
---------------+-------+----------------+-------------------+-----------------+---------
o.3o.3x.4x.     64  0 | 96 32  0  0  0 | 64 24  0  0  0  0 | 16 8  0  0  0 0 | 1  * * *
oo3oo3xx ..&#x   4  4 |  6  0  4  6  0 |  4  0  6  0  4  0 |  1 0  4  0  1 0 | * 16 * *
.. oo3xx4xx&#x  24 24 | 24 12 24 24 12 |  8  6 24 12  8  6 |  0 1  8  6  0 1 | *  * 8 *
.o3.o3.x4.x      0 64 |  0  0  0 96 32 |  0  0  0  0 64 24 |  0 0  0  0 16 8 | *  * * 1

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