Acronym traquith
Name triangle quasitruncated-cube duoprism
Circumradius sqrt[(25/12)-sqrt(2)] = 0.817997

As abstract polytope traquith is isomorphic to tratic, thereby replacing octagrams by octagons, resp. quith by tic and stop by op, resp. tistodip by todip and quithip by ticcup.


Incidence matrix according to Dynkin symbol

x3o o3x4/3x

. . . .   . | 72 |  2  2  1 |  1  4  2  1  2 |  2  1  2  4 1 | 1 2 2
------------+----+----------+----------------+---------------+------
x . . .   . |  2 | 72  *  * |  1  2  1  0  0 |  2  1  1  2 0 | 1 2 1
. . . x   . |  2 |  * 72  * |  0  2  0  1  1 |  1  0  2  2 1 | 1 1 2
. . . .   x |  2 |  *  * 36 |  0  0  2  0  2 |  0  1  0  4 1 | 0 2 2
------------+----+----------+----------------+---------------+------
x3o . .   . |  3 |  3  0  0 | 24  *  *  *  * |  2  1  0  0 0 | 1 2 0
x . . x   . |  4 |  2  2  0 |  * 72  *  *  * |  1  0  1  1 0 | 1 1 1
x . . .   x |  4 |  2  0  2 |  *  * 36  *  * |  0  1  0  2 0 | 0 2 1
. . o3x   . |  3 |  0  3  0 |  *  *  * 24  * |  0  0  2  0 1 | 1 0 2
. . . x4/3x |  8 |  0  4  4 |  *  *  *  * 18 |  0  0  0  2 1 | 0 1 2
------------+----+----------+----------------+---------------+------
x3o . x   .   6 |  6  3  0 |  2  3  0  0  0 | 24  *  *  * * | 1 1 0
x3o . .   x   6 |  6  0  3 |  2  0  3  0  0 |  * 12  *  * * | 0 2 0
x . o3x   .   6 |  3  6  0 |  0  3  0  2  0 |  *  * 24  * * | 1 0 1
x . . x4/3x  16 |  8  8  8 |  0  4  4  0  2 |  *  *  * 18 * | 0 1 1
. . o3x4/3x  24 |  0 24 12 |  0  0  0  8  6 |  *  *  *  * 3 | 0 0 2
------------+----+----------+----------------+---------------+------
x3o o3x   .   9 |  9  9  0 |  3  9  0  3  0 |  3  0  3  0 0 | 8 * *
x3o . x4/3x  24 | 24 12 12 |  8 12 12  0  3 |  4  4  0  3 0 | * 6 *
x . o3x4/3x  48 | 24 48 24 |  0 24 12 16 12 |  0  0  8  6 2 | * * 3

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