Acronym	ticcup, K-4.99
Name	truncated-cube prism
Segmentochoron display
Cross sections	©
Circumradius	sqrt[2+sqrt(2)] = 1.847759
Coordinates	((1+sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2)   & all permutations in all but last coord., all changes of sign
External links

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

Incidence matrix according to Dynkin symbol

x o3x4x

. . . . | 48 |  1  2  1 |  2  1  1  2 | 1 2 1
--------+----+----------+-------------+------
x . . . |  2 | 24  *  * |  2  1  0  0 | 1 2 0
. . x . |  2 |  * 48  * |  1  0  1  1 | 1 1 1
. . . x |  2 |  *  * 24 |  0  1  0  2 | 0 2 1
--------+----+----------+-------------+------
x . x . |  4 |  2  2  0 | 24  *  *  * | 1 1 0
x . . x |  4 |  2  0  2 |  * 12  *  * | 0 2 0
. o3x . |  3 |  0  3  0 |  *  * 16  * | 1 0 1
. . x4x |  8 |  0  4  4 |  *  *  * 12 | 0 1 1
--------+----+----------+-------------+------
x o3x . ♦  6 |  3  6  0 |  3  0  2  0 | 8 * *
x . x4x ♦ 16 |  8  8  8 |  4  4  0  2 | * 6 *
. o3x4x ♦ 24 |  0 24 12 |  0  0  8  6 | * * 2

x o3/2x4x

. .   . . | 48 |  1  2  1 |  2  1  1  2 | 1 2 1
----------+----+----------+-------------+------
x .   . . |  2 | 24  *  * |  2  1  0  0 | 1 2 0
. .   x . |  2 |  * 48  * |  1  0  1  1 | 1 1 1
. .   . x |  2 |  *  * 24 |  0  1  0  2 | 0 2 1
----------+----+----------+-------------+------
x .   x . |  4 |  2  2  0 | 24  *  *  * | 1 1 0
x .   . x |  4 |  2  0  2 |  * 12  *  * | 0 2 0
. o3/2x . |  3 |  0  3  0 |  *  * 16  * | 1 0 1
. .   x4x |  8 |  0  4  4 |  *  *  * 12 | 0 1 1
----------+----+----------+-------------+------
x o3/2x . ♦  6 |  3  6  0 |  3  0  2  0 | 8 * *
x .   x4x ♦ 16 |  8  8  8 |  4  4  0  2 | * 6 *
. o3/2x4x ♦ 24 |  0 24 12 |  0  0  8  6 | * * 2

oo3xx4xx&#x   → height = 1
(tic || tic)

o.3o.4o.    | 24  * |  1  2  1  0  0 | 1 2  2  1 0 0 | 1 1 2 0
.o3.o4.o    |  * 24 |  0  0  1  2  1 | 0 0  2  1 1 2 | 0 1 2 1
------------+-------+----------------+---------------+--------
.. x. ..    |  2  0 | 24  *  *  *  * | 1 1  1  0 0 0 | 1 1 1 0
.. .. x.    |  2  0 |  * 12  *  *  * | 0 2  0  1 0 0 | 1 0 2 0
oo3oo4oo&#x |  1  1 |  *  * 24  *  * | 0 0  2  1 0 0 | 0 1 2 0
.. .x ..    |  0  2 |  *  *  * 24  * | 0 0  1  0 1 1 | 0 1 1 1
.. .. .x    |  0  2 |  *  *  *  * 12 | 0 0  0  1 0 2 | 0 0 2 1
------------+-------+----------------+---------------+--------
o.3x. ..    |  3  0 |  3  0  0  0  0 | 8 *  *  * * * | 1 1 0 0
.. x.4x.    |  8  0 |  4  4  0  0  0 | * 6  *  * * * | 1 0 1 0
.. xx ..&#x |  2  2 |  1  0  2  1  0 | * * 24  * * * | 0 1 1 0
.. .. xx&#x |  2  2 |  0  1  2  0  1 | * *  * 12 * * | 0 0 2 0
.o3.x ..    |  0  3 |  0  0  0  3  0 | * *  *  * 8 * | 0 1 0 1
.. .x4.x    |  0  8 |  0  0  0  4  4 | * *  *  * * 6 | 0 0 1 1
------------+-------+----------------+---------------+--------
o.3x.4x.    ♦ 24  0 | 24 12  0  0  0 | 8 6  0  0 0 0 | 1 * * *
oo3xx ..&#x ♦  3  3 |  3  0  3  3  0 | 1 0  3  0 1 0 | * 8 * *
.. xx4xx&#x ♦  8  8 |  4  4  8  4  4 | 0 1  4  4 0 1 | * * 6 *
.o3.x4.x    ♦  0 24 |  0  0  0 24 12 | 0 0  0  0 8 6 | * * * 1