Acronym trittip
Name triangle-triangle-triangle-triprism,
vertex figure of ramoh
Circumradius 1
Confer
general triprisms:
n,m,k-tip   n,n,m-tip   n,n,n-tip  
general polytopal classes:
noble polytopes  

Incidence matrix according to Dynkin symbol

x3o x3o x3o

. . . . . . | 27 |  2  2  2 | 1  4  4 1  4 1 | 2 2 2  8 2 2 2 | 1 4 1 4 4 1 | 2 2 2
------------+----+----------+----------------+----------------+-------------+------
x . . . . . |  2 | 27  *  * | 1  2  2 0  0 0 | 2 2 1  4 1 0 0 | 1 4 1 2 2 0 | 2 2 1
. . x . . . |  2 |  * 27  * | 0  2  0 1  2 0 | 1 0 2  4 0 2 1 | 1 2 0 4 2 1 | 2 1 2
. . . . x . |  2 |  *  * 27 | 0  0  2 0  2 1 | 0 1 0  4 2 1 2 | 0 2 1 2 4 1 | 1 2 2
------------+----+----------+----------------+----------------+-------------+------
x3o . . . . |  3 |  3  0  0 | 9  *  * *  * * | 2 2 0  0 0 0 0 | 1 4 1 0 0 0 | 2 2 0
x . x . . . |  4 |  2  2  0 | * 27  * *  * * | 1 0 1  2 0 0 0 | 1 2 0 2 1 0 | 2 1 1
x . . . x . |  4 |  2  0  2 | *  * 27 *  * * | 0 1 0  2 1 0 0 | 0 2 1 1 2 0 | 1 2 1
. . x3o . . |  3 |  0  3  0 | *  *  * 9  * * | 0 0 2  0 0 2 0 | 1 0 0 4 0 1 | 2 0 2
. . x . x . |  4 |  0  2  2 | *  *  * * 27 * | 0 0 0  2 0 1 1 | 0 1 0 2 2 1 | 1 1 2
. . . . x3o |  3 |  0  0  3 | *  *  * *  * 9 | 0 0 0  0 2 0 2 | 0 0 1 0 4 1 | 0 2 2
------------+----+----------+----------------+----------------+-------------+------
x3o x . . .   6 |  6  3  0 | 2  3  0 0  0 0 | 9 * *  * * * * | 1 2 0 0 0 0 | 2 1 0
x3o . . x .   6 |  6  0  3 | 2  0  3 0  0 0 | * 9 *  * * * * | 0 2 1 0 0 0 | 1 2 0
x . x3o . .   6 |  3  6  0 | 0  3  0 2  0 0 | * * 9  * * * * | 1 0 0 2 0 0 | 2 0 1
x . x . x .   8 |  4  4  4 | 0  2  2 0  2 0 | * * * 27 * * * | 0 1 0 1 1 0 | 1 1 1
x . . . x3o   6 |  3  0  6 | 0  0  3 0  0 2 | * * *  * 9 * * | 0 0 1 0 2 0 | 0 2 1
. . x3o x .   6 |  0  6  3 | 0  0  0 2  3 0 | * * *  * * 9 * | 0 0 0 2 0 1 | 1 0 2
. . x . x3o   6 |  0  3  6 | 0  0  0 0  3 2 | * * *  * * * 9 | 0 0 0 0 2 1 | 0 1 2
------------+----+----------+----------------+----------------+-------------+------
x3o x3o . .   9 |  9  9  0 | 3  9  0 3  0 0 | 3 0 3  0 0 0 0 | 3 * * * * * | 2 0 0
x3o x . x .  12 | 12  6  6 | 4  6  6 0  3 0 | 2 2 0  3 0 0 0 | * 9 * * * * | 1 1 0
x3o . . x3o   9 |  9  0  9 | 3  0  9 0  0 3 | 0 3 0  0 3 0 0 | * * 3 * * * | 0 2 0
x . x3o x .  12 |  6 12  6 | 0  6  3 4  6 0 | 0 0 2  3 0 2 0 | * * * 9 * * | 1 0 1
x . x . x3o  12 |  6  6 12 | 0  3  6 0  6 4 | 0 0 0  3 2 0 2 | * * * * 9 * | 0 1 1
. . x3o x3o   9 |  0  9  9 | 0  0  0 3  9 3 | 0 0 0  0 0 3 3 | * * * * * 3 | 0 0 2
------------+----+----------+----------------+----------------+-------------+------
x3o x3o x .  18 | 18 18  9 | 6 18  9 6  9 0 | 6 3 6  9 0 3 0 | 2 3 0 3 0 0 | 3 * *
x3o x . x3o  18 | 18  9 18 | 6  9 18 0  9 6 | 3 6 0  9 6 0 3 | 0 3 2 0 3 0 | * 3 *
x . x3o x3o  18 |  9 18 18 | 0  9  9 6 18 6 | 0 0 3  9 3 6 6 | 0 0 0 3 3 2 | * * 3
or
. . . . . .    | 27 |  6 |  3 12 | 12  8 | 3 12 | 6
---------------+----+----+-------+-------+------+--
x . . . . .  & |  2 | 81 |  1  4 |  6  4 | 2  8 | 5
---------------+----+----+-------+-------+------+--
x3o . . . .  & |  3 |  3 | 27  * |  4  0 | 2  4 | 4
x . x . . .  & |  4 |  4 |  * 81 |  2  2 | 1  5 | 4
---------------+----+----+-------+-------+------+--
x3o x . . .  &   6 |  9 |  2  3 | 54  * | 1  2 | 3
x . x . x .      8 | 12 |  0  6 |  * 27 | 0  3 | 3
---------------+----+----+-------+-------+------+--
x3o x3o . .  &   9 | 18 |  6  9 |  6  0 | 9  * | 2
x3o x . x .  &  12 | 24 |  4 15 |  4  3 | * 27 | 2
---------------+----+----+-------+-------+------+--
x3o x3o x .  &  18 | 45 | 12 36 | 18  9 | 2  6 | 9

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