Acronym quithesc
Name quasitruncated-hexahedral scalene,
quasitruncated-hexahedral-pyramid pyramid,
line atop fully orthogonal quasitruncated hexahedron
Circumradius sqrt[5+sqrt(2)]/4 = 0.633157
Face vector 26, 85, 110, 65, 16
Confer
general polytopal classes:
segmentotera   scalene  

Incidence matrix according to Dynkin symbol

xo ox4/3ox3oo&#x   → height = sqrt[sqrt(2)-1] = 0.643594
(pyramid product of line with quith)

o. o.4/3o.3o.    | 2  *  1 24  0  0 | 24 12 24 0 0 | 12 24  6  8 0 | 6 8 1
.o .o4/3.o3.o    | * 24 | 0  2  1  2 |  1  2  4 2 1 |  1  2  4  2 1 | 2 1 2
-----------------+------+------------+--------------+---------------+------
x. ..   .. ..    | 2  0 | 1  *  *  *  24  0  0 0 0 | 12 24  0  0 0 | 6 8 0
oo oo4/3oo3oo&#x | 1  1 | * 48  *  * |  1  1  2 0 0 |  1  2  2  1 0 | 2 1 1
.. .x   .. ..    | 0  2 | *  * 12  * |  0  2  0 2 0 |  1  0  4  0 1 | 2 0 2
.. ..   .x ..    | 0  2 | *  *  * 24 |  0  0  2 1 1 |  0  1  2  2 1 | 1 1 2
-----------------+------+------------+--------------+---------------+------
xo ..   .. ..&#x | 2  1 | 1  2  0  0 | 24  *  * * * |  1  2  0  0 0 | 2 1 0
.. ox   .. ..&#x | 1  2 | 0  2  1  0 |  * 24  * * * |  1  0  2  0 0 | 2 0 1
.. ..   ox ..&#x | 1  2 | 0  2  0  1 |  *  * 48 * * |  0  1  1  1 0 | 1 1 1
.. .x4/3.x ..    | 0  8 | 0  0  4  4 |  *  *  * 6 * |  0  0  2  0 1 | 1 0 2
.. ..   .x3.o    | 0  3 | 0  0  0  3 |  *  *  * * 8 |  0  0  0  2 1 | 0 1 2
-----------------+------+------------+--------------+---------------+------
xo ox   .. ..&#x  2  2 | 1  4  1  0 |  2  2  0 0 0 | 12  *  *  * * | 2 0 0
xo ..   ox ..&#x  2  2 | 1  4  0  1 |  2  0  2 0 0 |  * 24  *  * * | 1 1 0
.. ox4/3ox ..&#x  1  8 | 0  8  4  4 |  0  4  4 1 0 |  *  * 12  * * | 1 0 1
.. ..   ox3oo&#x  1  3 | 0  3  0  3 |  0  0  3 0 1 |  *  *  * 16 * | 0 1 1
.. .x4/3.x3.o     0 24 | 0  0 12 24 |  0  0  0 6 8 |  *  *  *  * 1 | 0 0 2
-----------------+------+------------+--------------+---------------+------
xo ox4/3ox ..&#x  2  8 | 1 16  4  4 |  8  8  8 1 0 |  4  4  2  0 0 | 6 * *
xo ..   ox3oo&#x  2  3 | 1  6  0  3 |  3  0  6 0 1 |  0  3  0  2 0 | * 8 *
.. ox4/3ox3oo&#x  1 24 | 0 24 12 24 |  0 12 24 6 8 |  0  0  6  8 1 | * * 2

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