Acronym quithip
Name quasitruncated-hexahedron prism
Cross sections
 ©
Circumradius sqrt[2-sqrt(2)] = 0.765367
Colonel of regiment (is itself locally convex – no other uniform polyhedral members)
Dihedral angles
  • at {8/3} between quith and stop:   90°
  • at {3} between quith and trip:   90°
  • at {4} between stop and stop:   90°
  • at {4} between stop and trip:   arccos(1/sqrt(3)) = 54.735610°
External
links
hedrondude  

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


Incidence matrix according to Dynkin symbol

x o3x4/3x

. . .   . | 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
. . x4/3x |  8 |  0  4  4 |  *  *  * 12 | 0 1 1
----------+----+----------+-------------+------
x o3x   .   6 |  3  6  0 |  3  0  2  0 | 8 * *
x . x4/3x  16 |  8  8  8 |  4  4  0  2 | * 6 *
. o3x4/3x  24 |  0 24 12 |  0  0  8  6 | * * 2

x o3/2x4/3x

. .   .   . | 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
. .   x4/3x |  8 |  0  4  4 |  *  *  * 12 | 0 1 1
------------+----+----------+-------------+------
x o3/2x   .   6 |  3  6  0 |  3  0  2  0 | 8 * *
x .   x4/3x  16 |  8  8  8 |  4  4  0  2 | * 6 *
. o3/2x4/3x  24 |  0 24 12 |  0  0  8  6 | * * 2

oo3xx4/3xx&#x   → height = 1
(quith || quith)

o.3o.4/3o.    | 24  * |  1  2  1  0  0 | 1 2  2  1 0 0 | 1 1 2 0
.o3.o4/3.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
oo3oo4/3oo&#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.4/3x.    |  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
.. .x4/3.x    |  0  8 |  0  0  0  4  4 | * *  *  * * 6 | 0 0 1 1
--------------+-------+----------------+---------------+--------
o.3x.4/3x.     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 * *
.. xx4/3xx&#x   8  8 |  4  4  8  4  4 | 0 1  4  4 0 1 | * * 6 *
.o3.x4/3.x      0 24 |  0  0  0 24 12 | 0 0  0  0 8 6 | * * * 1

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