Acronym tepasc
Name tetrahedral-prismatic scalene,
tetrahedron-prism-pyramid pyramid,
line atop fully orthogonal tetrahedron prism
|,>,O device line pyramid pyramid prism pyramid pyramid = |>>|>>
Circumradius sqrt(3)/2 = 0.866025
Confer
general polytopal classes:
segmentopeta   scalene  

Incidence matrix according to Dynkin symbol

xo ox ox3oo3oo&#x   → height = 1/sqrt(8) = 0.353553
(line || perp tepe)

o. o. o.3o.3o.    | 2 *  1  8 0  0 | 8 4 12 0 0 | 4 12  6  8 0 0 | 6 8 4 2 0 | 4 2 1
.o .o .o3.o3.o    | * 8 | 0  2 1  3 | 1 2  6 3 3 | 1  3  6  6 3 1 | 3 3 6 2 1 | 3 1 2
------------------+-----+-----------+------------+----------------+-----------+------
x. .. .. .. ..    | 2 0 | 1  * *  *  8 0  0 0 0 | 4 12  0  0 0 0 | 6 8 0 0 0 | 4 2 0
oo oo oo3oo3oo&#x | 1 1 | * 16 *  * | 1 1  3 0 0 | 1  3  3  3 0 0 | 3 3 3 1 0 | 3 1 1
.. .x .. .. ..    | 0 2 | *  * 4  * | 0 2  0 3 0 | 1  0  6  0 3 0 | 3 0 6 0 1 | 3 0 2
.. .. .x .. ..    | 0 2 | *  * * 12 | 0 0  2 1 2 | 0  1  2  4 2 1 | 1 2 4 2 1 | 2 1 2
------------------+-----+-----------+------------+----------------+-----------+------
xo .. .. .. ..&#x | 2 1 | 1  2 0  0 | 8 *  * * * | 1  3  0  0 0 0 | 3 3 0 0 0 | 3 1 0
.. ox .. .. ..&#x | 1 2 | 0  2 1  0 | * 8  * * * | 1  0  3  0 0 0 | 3 0 3 0 0 | 3 0 1
.. .. ox .. ..&#x | 1 2 | 0  2 0  1 | * * 24 * * | 0  1  1  2 0 0 | 1 2 2 1 0 | 2 1 1
.. .x .x .. ..    | 0 4 | 0  0 2  2 | * *  * 6 * | 0  0  2  0 2 0 | 1 0 4 0 1 | 2 0 2
.. .. .x3.o ..    | 0 3 | 0  0 0  3 | * *  * * 8 | 0  0  0  2 1 1 | 0 1 2 2 1 | 1 1 2
------------------+-----+-----------+------------+----------------+-----------+------
xo ox .. .. ..&#x  2 2 | 1  4 1  0 | 2 2  0 0 0 | 4  *  *  * * * | 3 0 0 0 0 | 3 0 0
xo .. ox .. ..&#x  2 2 | 1  4 0  1 | 2 0  2 0 0 | * 12  *  * * * | 1 2 0 0 0 | 2 1 0
.. ox ox .. ..&#x  1 4 | 0  4 2  2 | 0 2  2 1 0 | *  * 12  * * * | 1 0 2 0 0 | 2 0 1
.. .. ox3oo ..&#x  1 3 | 0  3 0  3 | 0 0  3 0 1 | *  *  * 16 * * | 0 1 1 1 0 | 1 1 1
.. .x .x3.o ..     0 6 | 0  0 3  6 | 0 0  0 3 2 | *  *  *  * 4 * | 0 0 2 0 1 | 1 0 2
.. .. .x3.o3.o     0 4 | 0  0 0  6 | 0 0  0 0 4 | *  *  *  * * 2 | 0 0 0 2 1 | 0 1 2
------------------+-----+-----------+------------+----------------+-----------+------
xo ox ox .. ..&#x  2 4 | 1  8 2  2 | 4 4  4 1 0 | 2  2  2  0 0 0 | 6 * * * * | 2 0 0
xo .. ox3oo ..&#x  2 3 | 1  6 0  3 | 3 0  6 0 1 | 0  3  0  2 0 0 | * 8 * * * | 1 1 0
.. ox ox3oo ..&#x  1 6 | 0  6 3  6 | 0 3  6 3 2 | 0  0  3  2 1 0 | * * 8 * * | 1 0 1
.. .. ox3oo3oo&#x  1 4 | 0  4 0  6 | 0 0  6 0 4 | 0  0  0  4 0 1 | * * * 4 * | 0 1 1
.. .x .x3.o3.o     0 8 | 0  0 4 12 | 0 0  0 6 8 | 0  0  0  0 4 2 | * * * * 1 | 0 0 2
------------------+-----+-----------+------------+----------------+-----------+------
xo ox ox3oo ..&#x  2 6 | 1 12 3  6 | 6 6 12 3 2 | 3  6  6  4 1 0 | 3 2 2 0 0 | 4 * *
xo .. ox3oo3oo&#x  2 4 | 1  8 0  6 | 4 0 12 0 4 | 0  6  0  8 0 1 | 0 4 0 2 0 | * 2 *
.. ox ox3oo3oo&#x  1 8 | 0  8 4 12 | 0 4 12 6 8 | 0  0  6  8 4 2 | 0 0 4 2 1 | * * 2

xoo oxx3ooo3ooo&#x   → height(1,2) = height(1,3) = sqrt(3/8) = 0.612372
                       height(2,3) = 1

o.. o..3o..3o..    | 2 * *  1 4 4 0 0 0 | 4  6 4 4  0 0 0 0 | 6 4 4  6 6 4 0 0 0 | 4 1 6 4 4 1 0 | 1 4 1 1
.o. .o.3.o.3.o.    | * 4 * | 0 2 0 3 1 0 | 1  6 2 0  0 3 3 0 | 3 6 1  6 0 0 1 3 0 | 3 2 3 6 0 0 1 | 1 3 2 0
..o ..o3..o3..o    | * * 4 | 0 0 2 0 1 3 | 0  0 2 1  6 0 3 3 | 0 0 1  6 3 6 0 3 1 | 0 0 3 6 3 2 1 | 0 3 2 1
-------------------+-------+-------------+-------------------+--------------------+---------------+--------
x.. ... ... ...    | 2 0 0 | 1 * * * * *  4  0 0 4  0 0 0 0 | 6 0 4  0 6 0 0 0 0 | 4 0 6 0 4 0 0 | 1 4 0 1
oo. oo.3oo.3oo.&#x | 1 1 0 | * 8 * * * * | 1  3 1 0  0 0 0 0 | 3 3 1  3 0 0 0 0 0 | 3 1 3 3 0 0 0 | 1 3 1 0
o.o o.o3o.o3o.o&#x | 1 0 1 | * * 8 * * * | 0  0 1 1  3 0 0 0 | 0 0 1  3 3 3 0 0 0 | 0 0 3 3 3 1 0 | 0 3 1 1
... .x. ... ...    | 0 2 0 | * * * 6 * * | 0  2 0 0  0 2 1 0 | 1 4 0  2 0 0 1 2 0 | 2 2 1 4 0 0 1 | 1 2 2 0
.oo .oo3.oo3.oo&#x | 0 1 1 | * * * * 4 * | 0  0 2 0  0 0 3 0 | 0 0 1  6 0 0 0 3 0 | 0 0 3 6 0 0 1 | 0 3 2 0
... ..x ... ...    | 0 0 2 | * * * * * 6 | 0  0 0 0  2 0 1 2 | 0 0 0  2 1 4 0 2 1 | 0 0 1 4 2 2 1 | 0 2 2 1
-------------------+-------+-------------+-------------------+--------------------+---------------+--------
xo. ... ... ...&#x | 2 1 0 | 1 2 0 0 0 0 | 4  * * *  * * * * | 3 0 1  0 0 0 0 0 0 | 3 0 3 0 0 0 0 | 1 3 0 0
... ox. ... ...&#x | 1 2 0 | 0 2 0 1 0 0 | * 12 * *  * * * * | 1 2 0  1 0 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0
ooo ooo3ooo3ooo&#x | 1 1 1 | 0 1 1 0 1 0 | *  * 8 *  * * * * | 0 0 1  3 0 0 0 0 0 | 0 0 3 3 0 0 0 | 0 3 1 0
x.o ... ... ...&#x | 2 0 1 | 1 0 2 0 0 0 | *  * * 4  * * * * | 0 0 1  0 3 0 0 0 0 | 0 0 3 0 3 0 0 | 0 3 0 1
... o.x ... ...&#x | 1 0 2 | 0 0 2 0 0 1 | *  * * * 12 * * * | 0 0 0  1 1 2 0 0 0 | 0 0 1 2 2 1 0 | 0 2 1 1
... .x.3.o. ...    | 0 3 0 | 0 0 0 3 0 0 | *  * * *  * 4 * * | 0 2 0  0 0 0 1 1 0 | 1 2 0 2 0 0 1 | 1 1 2 0
... .xx ... ...&#x | 0 2 2 | 0 0 0 1 2 1 | *  * * *  * * 6 * | 0 0 0  2 0 0 0 2 0 | 0 0 1 4 0 0 1 | 0 2 2 0
... ..x3..o ...&#x | 0 0 3 | 0 0 0 0 0 3 | *  * * *  * * * 4 | 0 0 0  0 0 2 0 1 1 | 0 0 0 2 1 2 1 | 0 1 2 1
-------------------+-------+-------------+-------------------+--------------------+---------------+--------
xo. ox. ... ...&#x  2 2 0 | 1 4 0 1 0 0 | 2  2 0 0  0 0 0 0 | 6 * *  * * * * * * | 2 0 1 0 0 0 0 | 1 2 0 0
... ox.3oo. ...&#x  1 3 0 | 0 3 0 3 0 0 | 0  3 0 0  0 1 0 0 | * 8 *  * * * * * * | 1 1 0 1 0 0 0 | 1 1 1 0
xoo ... ... ...&#x  2 1 1 | 1 2 2 0 1 0 | 1  0 2 1  0 0 0 0 | * * 4  * * * * * * | 0 0 3 0 0 0 0 | 0 3 0 0
... oxx ... ...&#x  1 2 2 | 0 2 2 1 2 1 | 0  1 2 0  1 0 1 0 | * * * 12 * * * * * | 0 0 1 2 0 0 0 | 0 2 1 0
x.o o.x ... ...&#x  2 0 2 | 1 0 4 0 0 1 | 0  0 0 2  2 0 0 0 | * * *  * 6 * * * * | 0 0 1 0 2 0 0 | 0 2 0 1
... o.x3o.o ...&#x  1 0 3 | 0 0 3 0 0 3 | 0  0 0 0  3 0 0 1 | * * *  * * 8 * * * | 0 0 0 1 1 1 0 | 0 1 1 1
... .x.3.o.3.o.     0 4 0 | 0 0 0 6 0 0 | 0  0 0 0  0 4 0 0 | * * *  * * * 1 * * | 0 2 0 0 0 0 1 | 1 0 2 0
... .xx3.oo ...&#x  0 3 3 | 0 0 0 3 3 3 | 0  0 0 0  0 1 3 1 | * * *  * * * * 4 * | 0 0 0 2 0 0 1 | 0 1 2 0
... ..x3..o3..o     0 0 4 | 0 0 0 0 0 6 | 0  0 0 0  0 0 0 4 | * * *  * * * * * 1 | 0 0 0 0 0 2 1 | 0 0 2 1
-------------------+-------+-------------+-------------------+--------------------+---------------+--------
xo. ox.3oo. ...&#x  2 3 0 | 1 6 0 3 0 0 | 3  6 0 0  0 1 0 0 | 3 2 0  0 0 0 0 0 0 | 4 * * * * * * | 1 1 0 0
... ox.3oo.3oo.&#x  1 4 0 | 0 4 0 6 0 0 | 0  6 0 0  0 4 0 0 | 0 4 0  0 0 0 1 0 0 | * 2 * * * * * | 1 0 1 0
xoo oxx ... ...&#x  2 2 2 | 1 4 4 1 2 1 | 2  2 4 2  2 0 1 0 | 1 0 2  2 1 0 0 0 0 | * * 6 * * * * | 0 2 0 0
... oxx3ooo ...&#x  1 3 3 | 0 3 3 3 3 3 | 0  3 3 0  3 1 3 1 | 0 1 0  3 0 1 0 1 0 | * * * 8 * * * | 0 1 1 0
x.o o.x3o.o ...&#x  2 0 3 | 1 0 6 0 0 3 | 0  0 0 3  6 0 0 1 | 0 0 0  0 3 2 0 0 0 | * * * * 4 * * | 0 1 0 1
... o.x3o.o3o.o&#x  1 0 4 | 0 0 4 0 0 6 | 0  0 0 0  6 0 0 4 | 0 0 0  0 0 4 0 0 1 | * * * * * 2 * | 0 0 1 1
... .xx3.oo3.oo&#x  0 4 4 | 0 0 0 6 4 6 | 0  0 0 0  0 4 6 4 | 0 0 0  0 0 0 1 4 1 | * * * * * * 1 | 0 0 2 0
-------------------+-------+-------------+-------------------+--------------------+---------------+--------
xo. ox.3oo.3oo.&#x  2 4 0 | 1 8 0 6 0 0 | 4 12 0 0  0 4 0 0 | 6 8 0  0 0 0 1 0 0 | 4 2 0 0 0 0 0 | 1 * * *
xoo oxx3ooo ...&#x  2 3 3 | 1 6 6 3 3 3 | 3  6 6 3  6 1 3 1 | 3 2 3  6 3 2 0 1 0 | 1 0 3 2 1 0 0 | * 4 * *
... oxx3ooo3ooo&#x  1 4 4 | 0 4 4 6 4 6 | 0  6 4 0  6 4 6 4 | 0 4 0  6 0 4 1 4 1 | 0 1 0 4 0 1 1 | * * 2 *
x.o o.x3o.o3o.o&#x  2 0 4 | 1 0 8 0 0 6 | 0  0 0 4 12 0 0 4 | 0 0 0  0 6 8 0 0 1 | 0 0 0 0 4 2 0 | * * * 1

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