Acronym trippen
Name triangle - pentachoron duoprism-prism,
vertex figure of buffy
Circumradius sqrt(59/60) = 0.991632
Confer
general polytopal classes:
segmentoexa  

Incidence matrix according to Dynkin symbol

x x3o x3o3o3o

. . . . . . . | 30 |  1  2  4 |  2  4  1  8  6 | 1  8  6  4 12  4 |  4 12  4  6  8 1 |  6  8 1  4 2 | 4 2 1
--------------+----+----------+----------------+------------------+------------------+--------------+------
x . . . . . . |  2 | 15  *  * |  2  4  0  0  0 | 1  8  6  0  0  0 |  4 12  4  0  0 0 |  6  8 1  0 0 | 4 2 0
. x . . . . . |  2 |  * 30  * |  1  0  1  4  0 | 1  4  0  4  6  0 |  4  6  0  6  4 0 |  6  4 0  4 1 | 4 1 1
. . . x . . . |  2 |  *  * 60 |  0  1  0  2  3 | 0  2  3  1  6  3 |  1  6  3  3  6 1 |  3  6 1  3 2 | 3 2 1
--------------+----+----------+----------------+------------------+------------------+--------------+------
x x . . . . . |  4 |  2  2  0 | 15  *  *  *  * | 1  4  0  0  0  0 |  4  6  0  0  0 0 |  6  4 0  0 0 | 4 1 0
x . . x . . . |  4 |  2  0  2 |  * 30  *  *  * | 0  2  3  0  0  0 |  1  6  3  0  0 0 |  3  6 1  0 0 | 3 2 0
. x3o . . . . |  3 |  0  3  0 |  *  * 10  *  * | 1  0  0  4  0  0 |  4  0  0  6  0 0 |  6  0 0  4 0 | 4 0 1
. x . x . . . |  4 |  0  2  2 |  *  *  * 60  * | 0  1  0  1  3  0 |  1  3  0  3  3 0 |  3  3 0  3 1 | 3 1 1
. . . x3o . . |  3 |  0  0  3 |  *  *  *  * 60 | 0  0  1  0  2  2 |  0  2  2  1  4 1 |  1  4 1  2 2 | 2 2 1
--------------+----+----------+----------------+------------------+------------------+--------------+------
x x3o . . . .   6 |  3  6  0 |  3  0  2  0  0 | 5  *  *  *  *  *   4  0  0  0  0 0 |  6  0 0  0 0 | 4 0 0
x x . x . . .   8 |  4  4  4 |  2  2  0  2  0 | * 30  *  *  *  * |  1  3  0  0  0 0 |  3  3 0  0 0 | 3 1 0
x . . x3o . .   6 |  3  0  6 |  0  3  0  0  2 | *  * 30  *  *  * |  0  2  2  0  0 0 |  1  4 1  0 0 | 2 2 0
. x3o x . . .   6 |  0  6  3 |  0  0  2  3  0 | *  *  * 20  *  * |  1  0  0  3  0 0 |  3  0 0  1 0 | 3 0 1
. x . x3o . .   6 |  0  3  6 |  0  0  0  3  2 | *  *  *  * 60  * |  0  1  0  1  2 0 |  1  2 0  2 1 | 2 1 1
. . . x3o3o .   4 |  0  0  6 |  0  0  0  0  4 | *  *  *  *  * 30 |  0  0  1  0  2 1 |  0  2 1  1 2 | 1 2 1
--------------+----+----------+----------------+------------------+------------------+--------------+------
x x3o x . . .  12 |  6 12  6 |  6  3  4  6  0 | 2  3  0  2  0  0 | 10  *  *  *  * * |  3  0 0  0 0 | 3 0 0
x x . x3o . .  12 |  6  6 12 |  3  6  0  6  4 | 0  3  2  0  2  0 |  * 30  *  *  * * |  1  2 0  0 0 | 2 1 0
x . . x3o3o .   8 |  4  0 12 |  0  6  0  0  8 | 0  0  4  0  0  2 |  *  * 15  *  * * |  0  2 1  0 0 | 1 2 0
. x3o x3o . .   9 |  0  9  9 |  0  0  3  9  3 | 0  0  0  3  3  0 |  *  *  * 20  * * |  1  0 0  2 0 | 2 0 1
. x . x3o3o .   8 |  0  4 12 |  0  0  0  6  8 | 0  0  0  0  4  2 |  *  *  *  * 30 * |  0  1 0  1 1 | 1 1 1
. . . x3o3o3o   5 |  0  0 10 |  0  0  0  0 10 | 0  0  0  0  0  5 |  *  *  *  *  * 6 |  0  0 1  0 2 | 0 2 1
--------------+----+----------+----------------+------------------+------------------+--------------+------
x x3o x3o . .  18 |  9 18 18 |  9  9  6 18  6 | 3  9  3  6  6  0 |  3  3  0  2  0 0 | 10  * *  * * | 2 0 0
x x . x3o3o .  16 |  8  8 24 |  4 12  0 12 16 | 0  6  8  0  8  4 |  0  4  2  0  2 0 |  * 15 *  * * | 1 1 0
x . . x3o3o3o  10 |  5  0 20 |  0 10  0  0 20 | 0  0 10  0  0 10 |  0  0  5  0  0 2 |  *  * 3  * * | 0 2 0
. x3o x3o3o .  12 |  0 12 18 |  0  0  4 18 12 | 0  0  0  6 12  3 |  0  0  0  4  3 0 |  *  * * 10 * | 1 0 1
. x . x3o3o3o  10 |  0  5 20 |  0  0  0 10 20 | 0  0  0  0 10 10 |  0  0  0  0  5 2 |  *  * *  * 6 | 0 1 1
--------------+----+----------+----------------+------------------+------------------+--------------+------
x x3o x3o3o .  24 | 12 24 36 | 12 18  8 36 24 | 4 18 12 12 24  6 |  6 12  3  8  6 0 |  4  3 0  2 0 | 5 * *
x x . x3o3o3o  20 | 10 10 40 |  5 20  0 20 40 | 0 10 20  0 20 20 |  0 10 10  0 10 4 |  0  5 2  0 2 | * 3 *
. x3o x3o3o3o  15 |  0 15 30 |  0  0  5 30 30 | 0  0  0 10 30 15 |  0  0  0 10 15 3 |  0  0 0  5 3 | * * 2

xx3oo xx3oo3oo3oo&#x   → height = 1
(trapen || trapen)

o.3o. o.3o.3o.3o.    | 15  * |  2  4  1  0  0 | 1  8  6  2  4 0  0  0 |  4 12  4 1  8  6  0  0  0 |  6  8 1  4 12  4  0  0 0 | 4 2  6  8 1 0 0 | 1 4 2 0
.o3.o .o3.o3.o3.o    |  * 15 |  0  0  1  2  4 | 0  0  0  2  4 1  8  6 |  0  0  0 1  8  6  4 12  4 |  0  0 0  4 12  4  6  8 1 | 0 0  6  8 1 4 2 | 0 4 2 1
---------------------+-------+----------------+-----------------------+---------------------------+--------------------------+-----------------+--------
x. .. .. .. .. ..    |  2  0 | 15  *  *  *  * | 1  4  0  1  0 0  0  0 |  4  6  0 1  4  0  0  0  0 |  6  4 0  4  6  0  0  0 0 | 4 1  6  4 0 0 0 | 1 4 1 0
.. .. x. .. .. ..    |  2  0 |  * 30  *  *  * | 0  2  3  0  1 0  0  0 |  1  6  3 0  2  3  0  0  0 |  3  6 1  1  6  3  0  0 0 | 3 2  3  6 1 0 0 | 1 3 2 0
oo3oo oo3oo3oo3oo&#x |  1  1 |  *  * 15  *  * | 0  0  0  2  4 0  0  0 |  0  0  0 1  8  6  0  0  0 |  0  0 0  4 12  4  0  0 0 | 0 0  6  8 1 0 0 | 0 4 2 0
.x .. .. .. .. ..    |  0  2 |  *  *  * 15  * | 0  0  0  1  0 1  4  0 |  0  0  0 1  4  0  4  6  0 |  0  0 0  4  6  0  6  4 0 | 0 0  6  4 0 4 1 | 0 4 1 1
.. .. .x .. .. ..    |  0  2 |  *  *  *  * 30 | 0  0  0  0  1 0  2  3 |  0  0  0 0  2  3  1  6  3 |  0  0 0  1  6  3  3  6 1 | 0 0  3  6 1 3 2 | 0 3 2 1
---------------------+-------+----------------+-----------------------+---------------------------+--------------------------+-----------------+--------
x.3o. .. .. .. ..    |  3  0 |  3  0  0  0  0 | 5  *  *  *  * *  *  * |  4  0  0 1  0  0  0  0  0 |  6  0 0  4  0  0  0  0 0 | 4 0  6  0 0 0 0 | 1 4 0 0
x. .. x. .. .. ..    |  4  0 |  2  2  0  0  0 | * 30  *  *  * *  *  * |  1  3  0 0  1  0  0  0  0 |  3  3 0  1  3  0  0  0 0 | 3 1  3  3 0 0 0 | 1 3 1 0
.. .. x.3o. .. ..    |  3  0 |  0  3  0  0  0 | *  * 30  *  * *  *  * |  0  2  2 0  0  1  0  0  0 |  1  4 1  0  2  2  0  0 0 | 2 2  1  4 1 0 0 | 1 2 2 0
xx .. .. .. .. ..&#x |  2  2 |  1  0  2  1  0 | *  *  * 15  * *  *  * |  0  0  0 1  4  0  0  0  0 |  0  0 0  4  6  0  0  0 0 | 0 0  6  4 0 0 0 | 0 4 1 0
.. .. xx .. .. ..&#x |  2  2 |  0  1  2  0  1 | *  *  *  * 30 *  *  * |  0  0  0 0  2  3  0  0  0 |  0  0 0  1  6  3  0  0 0 | 0 0  3  6 1 0 0 | 0 3 2 0
.x3.o .. .. .. ..    |  0  3 |  0  0  0  3  0 | *  *  *  *  * 5  *  * |  0  0  0 1  0  0  4  0  0 |  0  0 0  4  0  0  6  0 0 | 0 0  6  0 0 4 0 | 0 4 0 1
.x .. .x .. .. ..    |  0  4 |  0  0  0  2  2 | *  *  *  *  * * 30  * |  0  0  0 0  1  0  1  3  0 |  0  0 0  1  3  0  3  3 0 | 0 0  3  3 0 3 1 | 0 3 1 1
.. .. .x3.o .. ..    |  0  3 |  0  0  0  0  3 | *  *  *  *  * *  * 30 |  0  0  0 0  0  1  0  2  2 |  0  0 0  0  2  2  1  4 1 | 0 0  1  4 1 2 2 | 0 2 2 1
---------------------+-------+----------------+-----------------------+---------------------------+--------------------------+-----------------+--------
x.3o. x. .. .. ..      6  0 |  6  3  0  0  0 | 2  3  0  0  0 0  0  0 | 10  *  * *  *  *  *  *  * |  3  0 0  1  0  0  0  0 0 | 3 0  3  0 0 0 0 | 1 3 0 0
x. .. x.3o. .. ..      6  0 |  3  6  0  0  0 | 0  3  2  0  0 0  0  0 |  * 30  * *  *  *  *  *  * |  1  2 0  0  1  0  0  0 0 | 2 1  1  2 0 0 0 | 1 2 1 0
.. .. x.3o.3o. ..      4  0 |  0  6  0  0  0 | 0  0  4  0  0 0  0  0 |  *  * 15 *  *  *  *  *  * |  0  2 1  0  0  1  0  0 0 | 1 2  0  2 1 0 0 | 1 1 2 0
xx3oo .. .. .. ..&#x   3  3 |  3  0  3  3  0 | 1  0  0  3  0 1  0  0 |  *  *  * 5  *  *  *  *  *   0  0 0  4  0  0  0  0 0 | 0 0  6  0 0 0 0 | 0 4 0 0
xx .. xx .. .. ..&#x   4  4 |  2  2  4  2  2 | 0  1  0  2  2 0  1  0 |  *  *  * * 30  *  *  *  * |  0  0 0  1  3  0  0  0 0 | 0 0  3  3 0 0 0 | 0 3 1 0
.. .. xx3oo .. ..&#x   3  3 |  0  3  3  0  3 | 0  0  1  0  3 0  0  1 |  *  *  * *  * 30  *  *  * |  0  0 0  0  2  2  0  0 0 | 0 0  1  4 1 0 0 | 0 2 2 0
.x3.o .x .. .. ..      0  6 |  0  0  0  6  3 | 0  0  0  0  0 2  3  0 |  *  *  * *  *  * 10  *  * |  0  0 0  1  0  0  3  0 0 | 0 0  3  0 0 3 0 | 0 3 0 1
.x .. .x3.o .. ..      0  6 |  0  0  0  3  6 | 0  0  0  0  0 0  3  2 |  *  *  * *  *  *  * 30  * |  0  0 0  0  1  0  1  2 0 | 0 0  1  2 0 2 1 | 0 2 1 1
.. .. .x3.o3.o ..      0  4 |  0  0  0  0  6 | 0  0  0  0  0 0  0  4 |  *  *  * *  *  *  *  * 15 |  0  0 0  0  0  1  0  2 1 | 0 0  0  2 1 1 2 | 0 1 2 1
---------------------+-------+----------------+-----------------------+---------------------------+--------------------------+-----------------+--------
x.3o. x.3o. .. ..      9  0 |  9  9  0  0  0 | 3  9  3  0  0 0  0  0 |  3  3  0 0  0  0  0  0  0 | 10  * *  *  *  *  *  * * | 2 0  1  0 0 0 0 | 1 2 0 0
x. .. x.3o.3o. ..      8  0 |  4 12  0  0  0 | 0  6  8  0  0 0  0  0 |  0  4  2 0  0  0  0  0  0 |  * 15 *  *  *  *  *  * * | 1 1  0  1 0 0 0 | 1 1 1 0
.. .. x.3o.3o.3o.      5  0 |  0 10  0  0  0 | 0  0 10  0  0 0  0  0 |  0  0  5 0  0  0  0  0  0 |  *  * 3  *  *  *  *  * * | 0 2  0  0 1 0 0 | 1 0 2 0
xx3oo xx .. .. ..&#x   6  6 |  6  3  6  6  3 | 2  3  0  6  3 2  3  0 |  1  0  0 2  3  0  1  0  0 |  *  * * 10  *  *  *  * * | 0 0  3  0 0 0 0 | 0 3 0 0
xx .. xx3oo .. ..&#x   6  6 |  3  6  6  3  6 | 0  3  2  3  6 0  3  2 |  0  1  0 0  3  2  0  1  0 |  *  * *  * 30  *  *  * * | 0 0  1  2 0 0 0 | 0 2 1 0
.. .. xx3oo3oo ..&#x   4  4 |  0  6  4  0  6 | 0  0  4  0  6 0  0  4 |  0  0  1 0  0  4  0  0  1 |  *  * *  *  * 15  *  * * | 0 0  0  2 1 0 0 | 0 1 2 0
.x3.o .x3.o .. ..      0  9 |  0  0  0  9  9 | 0  0  0  0  0 3  9  3 |  0  0  0 0  0  0  3  3  0 |  *  * *  *  *  * 10  * * | 0 0  1  0 0 2 0 | 0 2 0 1
.x .. .x3.o3.o ..      0  8 |  0  0  0  4 12 | 0  0  0  0  0 0  6  8 |  0  0  0 0  0  0  0  4  2 |  *  * *  *  *  *  * 15 * | 0 0  0  1 0 1 1 | 0 1 1 1
.. .. .x3.o3.o3.o      0  5 |  0  0  0  0 10 | 0  0  0  0  0 0  0 10 |  0  0  0 0  0  0  0  0  5 |  *  * *  *  *  *  *  * 3 | 0 0  0  0 1 0 2 | 0 0 2 1
---------------------+-------+----------------+-----------------------+---------------------------+--------------------------+-----------------+--------
x.3o. x.3o.3o. ..     12  0 | 12 18  0  0  0 | 4 18 12  0  0 0  0  0 |  6 12  3 0  0  0  0  0  0 |  4  3 0  0  0  0  0  0 0 | 5 *  *  * * * * | 1 1 0 0
x. .. x.3o.3o.3o.     10  0 |  5 20  0  0  0 | 0 10 20  0  0 0  0  0 |  0 10 10 0  0  0  0  0  0 |  0  5 2  0  0  0  0  0 0 | * 3  *  * * * * | 1 0 1 0
xx3oo xx3oo .. ..&#x   9  9 |  9  9  9  9  9 | 3  9  3  9  9 3  9  3 |  3  3  0 3  9  3  3  3  0 |  1  0 0  3  3  0  1  0 0 | * * 10  * * * * | 0 2 0 0
xx .. xx3oo3oo ..&#x   8  8 |  4 12  8  4 12 | 0  6  8  4 12 0  6  8 |  0  4  2 0  6  8  0  4  2 |  0  1 0  0  4  2  0  1 0 | * *  * 15 * * * | 0 1 1 0
.. .. xx3oo3oo3oo&#x   5  5 |  0 10  5  0 10 | 0  0 10  0 10 0  0 10 |  0  0  5 0  0 10  0  0  5 |  0  0 1  0  0  5  0  0 1 | * *  *  * 3 * * | 0 0 2 0
.x3.o .x3.o3.o ..      0 12 |  0  0  0 12 18 | 0  0  0  0  0 4 18 12 |  0  0  0 0  0  0  6 12  3 |  0  0 0  0  0  0  4  3 0 | * *  *  * * 5 * | 0 1 0 1
.x .. .x3.o3.o3.o      0 10 |  0  0  0  5 20 | 0  0  0  0  0 0 10 20 |  0  0  0 0  0  0  0 10 10 |  0  0 0  0  0  0  0  5 2 | * *  *  * * * 3 | 0 0 1 1
---------------------+-------+----------------+-----------------------+---------------------------+--------------------------+-----------------+--------
x.3o. x.3o.3o.3o.     15  0 | 15 30  0  0  0 | 5 30 30  0  0 0  0  0 | 10 30 15 0  0  0  0  0  0 | 10 15 3  0  0  0  0  0 0 | 5 3  0  0 0 0 0 | 1 * * *
xx3oo xx3oo3oo ..&#x  12 12 | 12 18 12 12 18 | 4 18 12 12 18 4 18 12 |  6 12  3 4 18 12  6 12  3 |  4  3 0  6 12  3  4  3 0 | 1 0  4  3 0 1 0 | * 5 * *
xx .. xx3oo3oo3oo&#x  10 10 |  5 20 10  5 20 | 0 10 20  5 20 0 10 20 |  0 10 10 0 10 20  0 10 10 |  0  5 2  0 10 10  0  5 2 | 0 1  0  5 2 0 1 | * * 3 *
.x3.o .x3.o3.o3.o      0 15 |  0  0  0 15 30 | 0  0  0  0  0 5 30 30 |  0  0  0 0  0  0 10 30 15 |  0  0 0  0  0  0 10 15 3 | 0 0  0  0 0 5 3 | * * * 1

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