Acronym tragocco
Name triangle - great-cubicuboctahedron duoprism
Circumradius sqrt[(19-6 sqrt(2))/12] = 0.936070
Face vector 72, 216, 228, 111, 23
Confer
general polytopal classes:
Wythoffian polytera  

As abstract polytope tragocco is isomorphic to trasocco, thereby replacing octagrams by octagons, stops by ops, and tistodips by todips.


Incidence matrix according to Dynkin symbol

x3o o3x4/3x4*c

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

© 2004-2024
top of page