Acronym	tratic
Name	triangle truncated-cube duoprism
Circumradius	sqrt[sqrt(2)+25/12] = 1.870173
Volume	7 [3+2 sqrt(2)] sqrt(3)/12 = 5.888827
Face vector	72, 180, 174, 81, 17
Confer	more general: n,tic-dip   general polytopal classes: Wythoffian polytera   segmentotera
External links

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

Incidence matrix according to Dynkin symbol

x3o o3x4x

. . . . . | 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
. . . x4x |  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 . . x4x ♦ 16 |  8  8  8 |  0  4  4  0  2 |  *  *  * 18 * | 0 1 1
. . o3x4x ♦ 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 . x4x ♦ 24 | 24 12 12 |  8 12 12  0  3 |  4  4  0  3 0 | * 6 *
x . o3x4x ♦ 48 | 24 48 24 |  0 24 12 16 12 |  0  0  8  6 2 | * * 3