Acronym	trahin
Name	triangle - hemipenteract duoprism, vertex figure of borfy
Circumradius	sqrt(23/24) = 0.978945
Volume	13 sqrt(6)/480 = 0.066340
Face vector	48, 288, 736, 920, 598, 201, 29
Confer	general polytopal classes: Wythoffian polyexa   segmentoexa
External links

Incidence matrix according to Dynkin symbol

x3o x3o3o *d3o3o

. . . . .    . . | 48 |  2  10 |  1  20  30 | 10  60  10  20 |  30  20  40  5  5 | 10 20 10 10 1 |  5  5 2
-----------------+----+--------+------------+----------------+-------------------+---------------+--------
x . . . .    . . |  2 | 48   * |  1  10   0 | 10  30   0   0 |  30  10  20  0  0 | 10 20  5  5 0 |  5  5 1
. . x . .    . . |  2 |  * 240 |  0   2   6 |  1  12   3   6 |   6   6  12  3  2 |  3  6  6  4 1 |  3  2 2
-----------------+----+--------+------------+----------------+-------------------+---------------+--------
x3o . . .    . . |  3 |  3   0 | 16   *   * ♦ 10   0   0   0 |  30   0   0  0  0 | 10 20  0  0 0 |  5  5 0
x . x . .    . . |  4 |  2   2 |  * 240   * |  1   6   0   0 |   6   3   6  0  0 |  3  6  3  2 0 |  3  2 1
. . x3o .    . . |  3 |  0   3 |  *   * 480 |  0   2   1   2 |   1   2   4  2  1 |  1  2  4  2 1 |  2  1 2
-----------------+----+--------+------------+----------------+-------------------+---------------+--------
x3o x . .    . . ♦  6 |  6   3 |  2   3   0 | 80   *   *   * ♦   6   0   0  0  0 |  3  6  0  0 0 |  3  2 0
x . x3o .    . . ♦  6 |  3   6 |  0   3   2 |  * 480   *   * |   1   1   2  0  0 |  1  2  2  1 0 |  2  1 1
. . x3o3o    . . ♦  4 |  0   6 |  0   0   4 |  *   * 120   * |   0   2   0  2  0 |  1  0  4  0 1 |  2  0 2
. . x3o . *d3o . ♦  4 |  0   6 |  0   0   4 |  *   *   * 240 |   0   0   2  1  1 |  0  1  2  2 1 |  1  1 2
-----------------+----+--------+------------+----------------+-------------------+---------------+--------
x3o x3o .    . . ♦  9 |  9   9 |  3   9   3 |  3   3   0   0 | 160   *   *  *  * |  1  2  0  0 0 |  2  1 0
x . x3o3o    . . ♦  8 |  4  12 |  0   6   8 |  0   4   2   0 |   * 120   *  *  * |  1  0  2  0 0 |  2  0 1
x . x3o . *d3o . ♦  8 |  4  12 |  0   6   8 |  0   4   0   2 |   *   * 240  *  * |  0  1  1  1 0 |  1  1 1
. . x3o3o *d3o . ♦  8 |  0  24 |  0   0  32 |  0   0   8   8 |   *   *   * 30  * |  0  0  2  0 1 |  1  0 2
. . x3o . *d3o3o ♦  5 |  0  10 |  0   0  10 |  0   0   0   5 |   *   *   *  * 48 |  0  0  0  2 1 |  0  1 2
-----------------+----+--------+------------+----------------+-------------------+---------------+--------
x3o x3o3o    . . ♦ 12 | 12  18 |  4  18  12 |  6  12   3   0 |   4   3   0  0  0 | 40  *  *  * * |  2  0 0
x3o x3o . *d3o . ♦ 12 | 12  18 |  4  18  12 |  6  12   0   3 |   4   0   3  0  0 |  * 80  *  * * |  1  1 0
x . x3o3o *d3o . ♦ 16 |  8  48 |  0  24  64 |  0  32  16  16 |   0   8   8  2  0 |  *  * 30  * * |  1  0 1
x . x3o . *d3o3o ♦ 10 |  5  20 |  0  10  20 |  0  10   0  10 |   0   0   5  0  2 |  *  *  * 48 * |  0  1 1
. . x3o3o *d3o3o ♦ 16 |  0  80 |  0   0 160 |  0   0  40  80 |   0   0   0 10 16 |  *  *  *  * 3 |  0  0 2
-----------------+----+--------+------------+----------------+-------------------+---------------+--------
x3o x3o3o *d3o . ♦ 24 | 24  72 |  8  72  96 | 24  96  24  24 |  32  24  24  3  0 |  8  8  3  0 0 | 10  * *
x3o x3o . *d3o3o ♦ 15 | 15  30 |  5  30  30 | 10  30   0  15 |  10   0  15  0  3 |  0  5  0  3 0 |  * 16 *
x . x3o3o *d3o3o ♦ 32 | 16 160 |  0  80 320 |  0 160  80 160 |   0  40  80 20 32 |  0  0 10 16 2 |  *  * 3

ox xx3oo3oo *c3oo3oo&#x   → height = sqrt(3)/2 = 0.866025
(hin || hinnip)

...