Acronym tetdippy
Name tetdip pyramid,
vertex pyramid of he
Circumradius 1
Face vector 17, 64, 116, 124, 84, 36, 9
Confer
uniform relative:
he  
general polytopal classes:
segmentoexa  

Incidence matrix according to Dynkin symbol

ox3oo3oo ox3oo3oo&#x   → height = 1/2
(pt || tetdip)

o.3o.3o. o.3o.3o.    | 1  *  16  0  0 | 24 24  0  0  0 | 16 36 16 0  0  0 0 | 4 24 24 4 0  0 0 | 6 16 6 0 0 | 4 4 0
.o3.o3.o .o3.o3.o    | * 16 |  1  3  3 |  3  3  3  9  3 |  3  9  3 1  9  9 1 | 1  9  9 1 3  9 3 | 3  9 3 3 3 | 3 3 1
---------------------+------+----------+----------------+--------------------+------------------+------------+------
oo3oo3oo oo3oo3oo&#x | 1  1 | 16  *  * |  3  3  0  0  0 |  3  9  3 0  0  0 0 | 1  9  9 1 0  0 0 | 3  9 3 0 0 | 3 3 0
.x .. .. .. .. ..    | 0  2 |  * 24  * |  1  0  2  3  0 |  2  3  0 1  6  3 0 | 1  6  3 0 3  6 1 | 3  6 1 3 2 | 3 2 1
.. .. .. .x .. ..    | 0  2 |  *  * 24 |  0  1  0  3  2 |  0  3  2 0  3  6 1 | 0  3  6 1 1  6 3 | 1  6 3 2 3 | 2 3 1
---------------------+------+----------+----------------+--------------------+------------------+------------+------
ox .. .. .. .. ..&#x | 1  2 |  2  1  0 | 24  *  *  *  * |  2  3  0 0  0  0 0 | 1  6  3 0 0  0 0 | 3  6 1 0 0 | 3 2 0
.. .. .. ox .. ..&#x | 1  2 |  2  0  1 |  * 24  *  *  * |  0  3  2 0  0  0 0 | 0  3  6 1 0  0 0 | 1  6 3 0 0 | 2 3 0
.x3.o .. .. .. ..    | 0  3 |  0  3  0 |  *  * 16  *  * |  1  0  0 1  3  0 0 | 1  3  0 0 3  3 0 | 3  3 0 3 1 | 3 1 1
.x .. .. .x .. ..    | 0  4 |  0  2  2 |  *  *  * 36  * |  0  1  0 0  2  2 0 | 0  2  2 0 1  4 1 | 1  4 1 2 2 | 2 2 1
.. .. .. .x3.o ..    | 0  3 |  0  0  3 |  *  *  *  * 16 |  0  0  1 0  0  3 1 | 0  0  3 1 0  3 3 | 0  3 3 1 3 | 1 3 1
---------------------+------+----------+----------------+--------------------+------------------+------------+------
ox3oo .. .. .. ..&#x  1  3 |  3  3  0 |  3  0  1  0  0 | 16  *  * *  *  * * | 1  3  0 0 0  0 0 | 3  3 0 0 0 | 3 1 0
ox .. .. ox .. ..&#x  1  4 |  4  2  2 |  2  2  0  1  0 |  * 36  * *  *  * * | 0  2  2 0 0  0 0 | 1  4 1 0 0 | 2 2 0
.. .. .. ox3oo ..&#x  1  3 |  3  0  3 |  0  3  0  0  1 |  *  * 16 *  *  * * | 0  0  3 1 0  0 0 | 0  3 3 0 0 | 1 3 0
.x3.o3.o .. .. ..     0  4 |  0  6  0 |  0  0  4  0  0 |  *  *  * 4  *  * * | 1  0  0 0 3  0 0 | 3  0 0 3 0 | 3 0 1
.x3.o .. .x .. ..     0  6 |  0  6  3 |  0  0  2  3  0 |  *  *  * * 24  * * | 0  1  0 0 1  2 0 | 1  2 0 2 1 | 2 1 1
.x .. .. .x3.o ..     0  6 |  0  3  6 |  0  0  0  3  2 |  *  *  * *  * 24 * | 0  0  1 0 0  2 1 | 0  2 1 1 2 | 1 2 1
.. .. .. .x3.o3.o     0  4 |  0  0  6 |  0  0  0  0  4 |  *  *  * *  *  * 4 | 0  0  0 1 0  0 3 | 0  0 3 0 3 | 0 3 1
---------------------+------+----------+----------------+--------------------+------------------+------------+------
ox3oo3oo .. .. ..&#x  1  4 |  4  6  0 |  6  0  4  0  0 |  4  0  0 1  0  0 0 | 4  *  * * *  * * | 3  0 0 0 0 | 3 0 0
ox3oo .. ox .. ..&#x  1  6 |  6  6  3 |  6  3  2  3  0 |  2  3  0 0  1  0 0 | * 24  * * *  * * | 1  2 0 0 0 | 2 1 0
ox .. .. ox3oo ..&#x  1  6 |  6  3  6 |  3  6  0  3  2 |  0  3  2 0  0  1 0 | *  * 24 * *  * * | 0  2 1 0 0 | 1 2 0
.. .. .. ox3oo3oo&#x  1  4 |  4  0  6 |  0  6  0  0  4 |  0  0  4 0  0  0 1 | *  *  * 4 *  * * | 0  0 3 0 0 | 0 3 0
.x3.o3.o .x .. ..     0  8 |  0 12  4 |  0  0  8  6  0 |  0  0  0 2  4  0 0 | *  *  * * 6  * * | 1  0 0 2 0 | 2 0 1
.x3.o .. .x3.o ..     0  9 |  0  9  9 |  0  0  3  9  3 |  0  0  0 0  3  3 0 | *  *  * * * 16 * | 0  1 0 1 1 | 1 1 1
.x .. .. .x3.o3.o     0  8 |  0  4 12 |  0  0  0  6  8 |  0  0  0 0  0  4 2 | *  *  * * *  * 6 | 0  0 1 0 2 | 0 2 1
---------------------+------+----------+----------------+--------------------+------------------+------------+------
ox3oo3oo ox .. ..&#x  1  8 |  8 12  4 | 12  4  8  6  0 |  8  6  0 2  4  0 0 | 2  4  0 0 1  0 0 | 6  * * * * | 2 0 0
ox3oo .. ox3oo ..&#x  1  9 |  9  9  9 |  9  9  3  9  3 |  3  9  3 0  3  3 0 | 0  3  3 0 0  1 0 | * 16 * * * | 1 1 0
ox .. .. ox3oo3oo&#x  1  8 |  8  4 12 |  4 12  0  6  8 |  0  6  8 0  0  4 2 | 0  0  4 2 0  0 1 | *  * 6 * * | 0 2 0
.x3.o3.o .x3.o ..     0 12 |  0 18 12 |  0  0 12 18  4 |  0  0  0 3 12  6 0 | 0  0  0 0 3  4 0 | *  * * 4 * | 1 0 1
.x3.o .. .x3.o3.o     0 12 |  0 12 18 |  0  0  4 18 12 |  0  0  0 0  6 12 3 | 0  0  0 0 0  4 3 | *  * * * 4 | 0 1 1
---------------------+------+----------+----------------+--------------------+------------------+------------+------
ox3oo3oo ox3oo ..&#x  1 12 | 12 18 12 | 18 12 12 18  4 | 12 18  4 3 12  6 0 | 3 12  6 0 3  4 0 | 3  4 0 1 0 | 4 * *
ox3oo .. ox3oo3oo&#x  1 12 | 12 12 18 | 12 18  4 18 12 |  4 18 12 0  6 12 3 | 0  6 12 3 0  4 3 | 0  4 3 0 1 | * 4 *
.x3.o3.o .x3.o3.o     0 16 |  0 24 24 |  0  0 16 36 16 |  0  0  0 4 24 24 4 | 0  0  0 0 6 16 6 | 0  0 0 4 4 | * * 1
or
o.3o.3o. o.3o.3o.       | 1  *  16  0 | 48  0  0 | 32 36 0  0 | 8 48  0  0 | 12 16 0 | 8 0
.o3.o3.o .o3.o3.o       | * 16 |  1  6 |  6  6  9 |  6  9 2 18 | 2 18  6  9 |  6  9 6 | 6 1
------------------------+------+-------+----------+------------+------------+---------+----
oo3oo3oo oo3oo3oo&#x    | 1  1 | 16  * |  6  0  0 |  6  9 0  0 | 2 18  0  0 |  6  9 0 | 6 0
.x .. .. .. .. ..     & | 0  2 |  * 48 |  1  2  3 |  2  3 1  9 | 1  9  4  6 |  4  6 5 | 5 1
------------------------+------+-------+----------+------------+------------+---------+----
ox .. .. .. .. ..&#x  & | 1  2 |  2  1 | 48  *  * |  2  3 0  0 | 1  9  0  0 |  4  6 0 | 5 0
.x3.o .. .. .. ..     & | 0  3 |  0  3 |  * 32  * |  1  0 1  3 | 1  3  3  3 |  3  3 4 | 4 1
.x .. .. .x .. ..       | 0  4 |  0  4 |  *  * 36 |  0  1 0  4 | 0  4  2  4 |  2  4 4 | 4 1
------------------------+------+-------+----------+------------+------------+---------+----
ox3oo .. .. .. ..&#x  &  1  3 |  3  3 |  3  1  0 | 32  * *  * | 1  3  0  0 |  3  3 0 | 4 0
ox .. .. ox .. ..&#x     1  4 |  4  4 |  4  0  1 |  * 36 *  * | 0  4  0  0 |  2  4 0 | 4 0
.x3.o3.o .. .. ..     &  0  4 |  0  6 |  0  4  0 |  *  * 8  * | 1  0  3  0 |  3  0 3 | 3 1
.x3.o .. .x .. ..     &  0  6 |  0  9 |  0  2  3 |  *  * * 48 | 0  1  1  2 |  1  2 3 | 3 1
------------------------+------+-------+----------+------------+------------+---------+----
ox3oo3oo .. .. ..&#x  &  1  4 |  4  6 |  6  4  0 |  4  0 1  0 | 8  *  *  * |  3  0 0 | 3 0
ox3oo .. ox .. ..&#x  &  1  6 |  6  9 |  9  2  3 |  2  3 0  1 | * 48  *  * |  1  2 0 | 3 0
.x3.o3.o .x .. ..     &  0  8 |  0 16 |  0  8  6 |  0  0 2  4 | *  * 12  * |  1  0 2 | 2 1
.x3.o .. .x3.o ..        0  9 |  0 18 |  0  6  9 |  0  0 0  6 | *  *  * 16 |  0  1 2 | 2 1
------------------------+------+-------+----------+------------+------------+---------+----
ox3oo3oo ox .. ..&#x  &  1  8 |  8 16 | 16  8  6 |  8  6 2  4 | 2  4  1  0 | 12  * * | 2 0
ox3oo .. ox3oo ..&#x     1  9 |  9 18 | 18  6  9 |  6  9 0  6 | 0  6  0  1 |  * 16 * | 2 0
.x3.o3.o .x3.o ..     &  0 12 |  0 30 |  0 16 18 |  0  0 3 18 | 0  0  3  4 |  *  * 8 | 1 1
------------------------+------+-------+----------+------------+------------+---------+----
ox3oo3oo ox3oo ..&#x  &  1 12 | 12 30 | 30 16 18 | 16 18 3 18 | 3 18  3  4 |  3  4 1 | 8 *
.x3.o3.o .x3.o3.o        0 16 |  0 48 |  0 32 36 |  0  0 8 48 | 0  0 12 16 |  0  0 8 | * 1

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