Acronym trippepe
Name trip pennene
|,>,O device line pyramid prism pyramid pyramid pyramid pyramid = |>|>>>>
Circumradius sqrt(3)/2 = 0.866025
Lace city
in approx. ASCII-art
       o3o o3o3x       
x3o o3o3o     x3o o3o3o
Face vector 10, 39, 81, 100, 76, 35, 9
Confer
general polytopal classes:
segmentoexa   scalene   tettene   pennene   lace simplices  

Incidence matrix according to Dynkin symbol

ox oo3ox xo3oo3oo&#x   → height = 1/sqrt(24) = 0,204124145
(pyramid product of trip with tet)

o. o.3o. o.3o.3o.    | 4 *  3  6 0 0 | 3  3  6 18 0 0 | 1  3  9 2 18 18 0 | 1  9  9  6 18 6 | 3  9 3 6 6 | 3 3 2
.o .o3.o .o3.o3.o    | * 6 | 0  4 1 2 | 0  4  8  6 2 1 | 0  8  6 4 12  4 1 | 4 12  4  6  8 1 | 6  8 1 4 2 | 4 2 1
---------------------+-----+----------+----------------+-------------------+-----------------+------------+------
.. .. .. x. .. ..    | 2 0 | 6  * * *  2  0  0  6 0 0 | 1  0  3 0  6 12 0 | 0  3  6  2 12 6 | 1  6 3 4 6 | 2 3 2
oo oo3oo oo3oo3oo&#x | 1 1 | * 24 * * | 0  1  2  3 0 0 | 0  2  3 1  6  3 0 | 1  6  3  3  6 1 | 3  6 1 3 2 | 3 2 1
.x .. .. .. .. ..    | 0 2 | *  * 3 * | 0  4  0  0 2 0 | 0  8  6 0  0  0 1 | 4 12  4  0  0 0 | 6  8 1 0 0 | 4 2 0
.. .x .. .. .. ..    | 0 2 | *  * * 6 | 0  0  4  0 1 1 | 0  4  0 4  6  0 1 | 4  6  0  6  4 0 | 6  4 0 4 1 | 4 1 1
---------------------+-----+----------+----------------+-------------------+-----------------+------------+------
.. .. .. x.3o. ..    | 3 0 | 3  0 0 0 | 4  *  *  * * *  1  0  0 0  0  6 0 | 0  0  3  0  6 6 | 0  3 3 2 6 | 1 3 2
ox .. .. .. .. ..&#x | 1 2 | 0  2 1 0 | * 12  *  * * * | 0  2  3 0  0  0 0 | 1  6  3  0  0 0 | 3  6 1 0 0 | 3 2 0
.. ox .. .. .. ..&#x | 1 2 | 0  2 0 1 | *  * 24  * * * | 0  1  0 1  3  0 0 | 1  3  0  3  3 0 | 3  3 0 3 1 | 3 1 1
.. .. .. xo .. ..&#x | 2 1 | 1  2 0 0 | *  *  * 36 * * | 0  0  1 0  2  2 0 | 0  2  2  1  4 1 | 1  4 1 2 2 | 2 2 1
.x .x .. .. .. ..    | 0 4 | 0  0 2 2 | *  *  *  * 3 * | 0  4  0 0  0  0 1 | 4  6  0  0  0 0 | 6  4 0 0 0 | 4 1 0
.. .x3.o .. .. ..    | 0 3 | 0  0 0 3 | *  *  *  * * 2 | 0  0  0 4  0  0 1 | 4  0  0  6  0 0 | 6  0 0 4 0 | 4 0 1
---------------------+-----+----------+----------------+-------------------+-----------------+------------+------
.. .. .. x.3o.3o.     4 0 | 6  0 0 0 | 4  0  0  0 0 0 | 1  *  * *  *  * *  0  0  0  0  0 6 | 0  0 3 0 6 | 0 3 2
ox ox .. .. .. ..&#x  1 4 | 0  4 2 2 | 0  2  2  0 1 0 | * 12  * *  *  * * | 1  3  0  0  0 0 | 3  3 0 0 0 | 3 1 0
ox .. .. xo .. ..&#x  2 2 | 1  4 1 0 | 0  2  0  2 0 0 | *  * 18 *  *  * * | 0  2  2  0  0 0 | 1  4 1 0 0 | 2 2 0
.. ox3oo .. .. ..&#x  1 3 | 0  3 0 3 | 0  0  3  0 0 1 | *  *  * 8  *  * * | 1  0  0  3  0 0 | 3  0 0 3 0 | 3 0 1
.. ox .. xo .. ..&#x  2 2 | 1  4 0 1 | 0  0  2  2 0 0 | *  *  * * 36  * * | 0  1  0  1  2 0 | 1  2 0 2 1 | 2 1 1
.. .. .. xo3oo ..&#x  3 1 | 3  3 0 0 | 1  0  0  3 0 0 | *  *  * *  * 24 * | 0  0  1  0  2 1 | 0  2 1 1 2 | 1 2 1
.x .x3.o .. .. ..     0 6 | 0  0 3 6 | 0  0  0  0 3 2 | *  *  * *  *  * 1  4  0  0  0  0 0 | 6  0 0 0 0 | 4 0 0
---------------------+-----+----------+----------------+-------------------+-----------------+------------+------
ox ox3oo .. .. ..&#x  1 6 | 0  6 3 6 | 0  3  6  0 3 2 | 0  3  0 2  0  0 1 | 4  *  *  *  * * | 3  0 0 0 0 | 3 0 0
ox ox .. xo .. ..&#x  2 4 | 1  8 2 2 | 0  4  4  4 1 0 | 0  2  2 0  2  0 0 | * 18  *  *  * * | 1  2 0 0 0 | 2 1 0
ox .. .. xo3oo ..&#x  3 2 | 3  6 1 0 | 1  3  0  6 0 0 | 0  0  3 0  0  2 0 | *  * 12  *  * * | 0  2 1 0 0 | 1 2 0
.. ox3oo xo .. ..&#x  2 3 | 1  6 0 3 | 0  0  6  3 0 1 | 0  0  0 2  3  0 0 | *  *  * 12  * * | 1  0 0 2 0 | 2 0 1
.. ox .. xo3oo ..&#x  3 2 | 3  6 0 1 | 1  0  3  6 0 0 | 0  0  0 0  3  2 0 | *  *  *  * 24 * | 0  1 0 1 1 | 1 1 1
.. .. .. xo3oo3oo&#x  4 1 | 6  4 0 0 | 4  0  0  6 0 0 | 1  0  0 0  0  4 0 | *  *  *  *  * 6 | 0  0 1 0 2 | 0 2 1
---------------------+-----+----------+----------------+-------------------+-----------------+------------+------
ox ox3oo xo .. ..&#x  2 6 | 1 12 3 6 | 0  6 12  6 3 2 | 0  6  3 4  6  0 1 | 2  3  0  2  0 0 | 6  * * * * | 2 0 0
ox ox .. xo3oo ..&#x  3 4 | 3 12 2 2 | 1  6  6 12 1 0 | 0  3  6 0  6  4 0 | 0  3  2  0  2 0 | * 12 * * * | 1 1 0
ox .. .. xo3oo3oo&#x  4 2 | 6  8 1 0 | 4  4  0 12 0 0 | 1  0  6 0  0  8 0 | 0  0  4  0  0 2 | *  * 3 * * | 0 2 0
.. ox3oo xo3oo ..&#x  3 3 | 3  9 0 3 | 1  0  9  9 0 1 | 0  0  0 3  9  3 0 | 0  0  0  3  3 0 | *  * * 8 * | 1 0 1
.. ox .. xo3oo3oo&#x  4 2 | 6  8 0 1 | 4  0  4 12 0 0 | 1  0  0 0  6  8 0 | 0  0  0  0  4 2 | *  * * * 6 | 0 1 1
---------------------+-----+----------+----------------+-------------------+-----------------+------------+------
ox ox3oo xo3oo ..&#x  3 6 | 3 18 3 6 | 1  9 18 18 3 2 | 0  9  9 6 18  6 1 | 3  9  3  6  6 0 | 3  3 0 2 0 | 4 * *
ox ox .. xo3oo3oo&#x  4 4 | 6 16 2 2 | 4  8  8 24 1 0 | 1  4 12 0 12 16 0 | 0  6  8  0  8 4 | 0  4 2 0 2 | * 3 *
.. ox3oo xo3oo3oo&#x  4 3 | 6 12 0 3 | 4  0 12 18 0 1 | 1  0  0 4 18 12 0 | 0  0  0  6 12 3 | 0  0 0 4 3 | * * 2

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