Acronym	tethix
Name	tetrahedron-hexateron duoprism, vertex figure of treday
Circumradius	sqrt(19/24) = 0.889757
Volume	sqrt(6)/5760 = 0.00042526
Face vector	24, 96, 194, 246, 209, 120, 45, 10
Confer	general polytopal classes: Wythoffian polyzetta
External links

Incidence matrix according to Dynkin symbol

x3o3o x3o3o3o3o

. . . . . . . . | 24 |  3  5 |  3 15 10 | 1 15  30 10 |  5 30 30  5 | 10 30 15 1 | 10 15 3 | 5 3
----------------+----+-------+----------+-------------+-------------+------------+---------+----
x . . . . . . . |  2 | 36  * |  2  5  0 | 1 10  10  0 |  5 20 10  0 | 10 20  5 0 | 10 10 1 | 5 2
. . . x . . . . |  2 |  * 60 |  0  3  4 | 0  3  12  6 |  1 12 18  4 |  4 18 12 1 |  6 12 3 | 4 3
----------------+----+-------+----------+-------------+-------------+------------+---------+----
x3o . . . . . . |  3 |  3  0 | 24  *  * | 1  5   0  0 |  5 10  0  0 | 10 10  0 0 | 10  5 0 | 5 1
x . . x . . . . |  4 |  2  2 |  * 90  * | 0  2   4  0 |  1  8  6  0 |  4 12  4 0 |  6  8 1 | 4 2
. . . x3o . . . |  3 |  0  3 |  *  * 80 | 0  0   3  3 |  0  3  9  3 |  1  9  9 1 |  3  9 3 | 3 3
----------------+----+-------+----------+-------------+-------------+------------+---------+----
x3o3o . . . . . ♦  4 |  6  0 |  4  0  0 | 6  *   *  * ♦  5  0  0  0 | 10  0  0 0 | 10  0 0 | 5 0
x3o . x . . . . ♦  6 |  6  3 |  2  3  0 | * 60   *  * |  1  4  0  0 |  4  6  0 0 |  6  4 0 | 4 1
x . . x3o . . . ♦  6 |  3  6 |  0  3  2 | *  * 120  * |  0  2  3  0 |  1  6  3 0 |  3  6 1 | 3 2
. . . x3o3o . . ♦  4 |  0  6 |  0  0  4 | *  *   * 60 |  0  0  3  2 |  0  3  6 1 |  1  6 3 | 2 3
----------------+----+-------+----------+-------------+-------------+------------+---------+----
x3o3o x . . . . ♦  8 | 12  4 |  8  6  0 | 2  4   0  0 | 15  *  *  * ♦  4  0  0 0 |  6  0 0 | 4 0
x3o . x3o . . . ♦  9 |  9  9 |  3  9  3 | 0  3   3  0 |  * 80  *  * |  1  3  0 0 |  3  3 0 | 3 1
x . . x3o3o . . ♦  8 |  4 12 |  0  6  8 | 0  0   4  2 |  *  * 90  * |  0  2  2 0 |  1  4 1 | 2 2
. . . x3o3o3o . ♦  5 |  0 10 |  0  0 10 | 0  0   0  5 |  *  *  * 24 |  0  0  3 1 |  0  3 3 | 1 3
----------------+----+-------+----------+-------------+-------------+------------+---------+----
x3o3o x3o . . . ♦ 12 | 18 12 | 12 18  4 | 3 12   6  0 |  3  4  0  0 | 20  *  * * |  3  0 0 | 3 0
x3o . x3o3o . . ♦ 12 | 12 18 |  4 18 12 | 0  6  12  3 |  0  4  3  0 |  * 60  * * |  1  2 0 | 2 1
x . . x3o3o3o . ♦ 10 |  5 20 |  0 10 20 | 0  0  10 10 |  0  0  5  2 |  *  * 36 * |  0  2 1 | 1 2
. . . x3o3o3o3o ♦  6 |  0 15 |  0  0 20 | 0  0   0 15 |  0  0  0  6 |  *  *  * 4 |  0  0 3 | 0 3
----------------+----+-------+----------+-------------+-------------+------------+---------+----
x3o3o x3o3o . . ♦ 16 | 24 24 | 16 36 16 | 4 24  24  4 |  6 16  6  0 |  4  4  0 0 | 15  * * | 2 0
x3o . x3o3o3o . ♦ 15 | 15 30 |  5 30 30 | 0 10  30 15 |  0 10 15  3 |  0  5  3 0 |  * 24 * | 1 1
x . . x3o3o3o3o ♦ 12 |  6 30 |  0 15 40 | 0  0  20 30 |  0  0 15 12 |  0  0  6 2 |  *  * 6 | 0 2
----------------+----+-------+----------+-------------+-------------+------------+---------+----
x3o3o x3o3o3o . ♦ 20 | 30 40 | 20 60 40 | 5 40  60 20 | 10 40 30  4 | 10 20  6 0 |  5  4 0 | 6 *
x3o . x3o3o3o3o ♦ 18 | 18 45 |  6 45 60 | 0 15  60 45 |  0 20 45 18 |  0 15 18 3 |  0  6 3 | * 4