Acronym	tratepe
Name	triangle-tetrahedron-duoprism prism, vertex figure of lanq
Circumradius	sqrt(23/24) = 0.978945
Volume	sqrt(6)/48 = 0.051031
Dihedral angles	at tepe between squatet and tratet:   90° at tisdip between squatet and tratrip:   90° at triddip between tratet and tratrip:   90° at tisdip between tratrip and tratrip:   arccos(1/3) = 70.528779° at tepe between squatet and squatet:   60°
Face vector	24, 72, 98, 76, 35, 9
Confer	more general: n,tet-dippip   general polytopal classes: Wythoffian polypeta   lace simplices
External links

Incidence matrix according to Dynkin symbol

x x3o x3o3o

. . . . . . | 24 |  1  2  3 |  2  3 1  6  3 | 1  6  3  3  6 1 | 3  6 1 3 2 | 3 2 1
------------+----+----------+---------------+-----------------+------------+------
x . . . . . |  2 | 12  *  * |  2  3 0  0  0 | 1  6  3  0  0 0 | 3  6 1 0 0 | 3 2 0
. x . . . . |  2 |  * 24  * |  1  0 1  3  0 | 1  3  0  3  3 0 | 3  3 0 3 1 | 3 1 1
. . . x . . |  2 |  *  * 36 |  0  1 0  2  2 | 0  2  2  1  4 1 | 1  4 1 2 2 | 2 2 1
------------+----+----------+---------------+-----------------+------------+------
x x . . . . |  4 |  2  2  0 | 12  * *  *  * | 1  3  0  0  0 0 | 3  3 0 0 0 | 3 1 0
x . . x . . |  4 |  2  0  2 |  * 18 *  *  * | 0  2  2  0  0 0 | 1  4 1 0 0 | 2 2 0
. x3o . . . |  3 |  0  3  0 |  *  * 8  *  * | 1  0  0  3  0 0 | 3  0 0 3 0 | 3 0 1
. x . x . . |  4 |  0  2  2 |  *  * * 36  * | 0  1  0  1  2 0 | 1  2 0 2 1 | 2 1 1
. . . x3o . |  3 |  0  0  3 |  *  * *  * 24 | 0  0  1  0  2 1 | 0  2 1 1 2 | 1 2 1
------------+----+----------+---------------+-----------------+------------+------
x x3o . . . ♦  6 |  3  6  0 |  3  0 2  0  0 | 4  *  *  *  * * | 3  0 0 0 0 | 3 0 0
x x . x . . ♦  8 |  4  4  4 |  2  2 0  2  0 | * 18  *  *  * * | 1  2 0 0 0 | 2 1 0
x . . x3o . ♦  6 |  3  0  6 |  0  3 0  0  2 | *  * 12  *  * * | 0  2 1 0 0 | 1 2 0
. x3o x . . ♦  6 |  0  6  3 |  0  0 2  3  0 | *  *  * 12  * * | 1  0 0 2 0 | 2 0 1
. x . x3o . ♦  6 |  0  3  6 |  0  0 0  3  2 | *  *  *  * 24 * | 0  1 0 1 1 | 1 1 1
. . . x3o3o ♦  4 |  0  0  6 |  0  0 0  0  4 | *  *  *  *  * 6 | 0  0 1 0 2 | 0 2 1
------------+----+----------+---------------+-----------------+------------+------
x x3o x . . ♦ 12 |  6 12  6 |  6  3 4  6  0 | 2  3  0  2  0 0 | 6  * * * * | 2 0 0
x x . x3o . ♦ 12 |  6  6 12 |  3  6 0  6  4 | 0  3  2  0  2 0 | * 12 * * * | 1 1 0
x . . x3o3o ♦  8 |  4  0 12 |  0  6 0  0  8 | 0  0  4  0  0 2 | *  * 3 * * | 0 2 0
. x3o x3o . ♦  9 |  0  9  9 |  0  0 3  9  3 | 0  0  0  3  3 0 | *  * * 8 * | 1 0 1
. x . x3o3o ♦  8 |  0  4 12 |  0  0 0  6  8 | 0  0  0  0  4 2 | *  * * * 6 | 0 1 1
------------+----+----------+---------------+-----------------+------------+------
x x3o x3o . ♦ 18 |  9 18 18 |  9  9 6 18  6 | 3  9  3  6  6 0 | 3  3 0 2 0 | 4 * *
x x . x3o3o ♦ 16 |  8  8 24 |  4 12 0 12 16 | 0  6  8  0  8 4 | 0  4 2 0 2 | * 3 *
. x3o x3o3o ♦ 12 |  0 12 18 |  0  0 4 18 12 | 0  0  0  6 12 3 | 0  0 0 4 3 | * * 2