Acronym idadope
Name icosidodecahedron atop dodecahedron-prism
Circumradius (1+sqrt(5))/2 = 1.618034
Lace city
in approx. ASCII-art
    o3x5o    
             
o3o5x   o3o5x
Face vector 70, 260, 326, 169, 35
Confer
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

ox oo3xo5ox&#x   → height = sqrt[(1+sqrt(5))/8] = 0.636010
(id || dope)

o. o.3o.5o.    | 30  * |  4   4  0  0 |  2  2  2   8  2  0  0 | 1  4  1  4  4  0 0 |  2  2 2 0
.o .o3.o5.o    |  * 40 |  0   3  1  3 |  0  0  3   3  3  3  3 | 0  3  3  1  3  3 1 |  1  3 1 1
---------------+-------+--------------+-----------------------+--------------------+----------
.. .. x. ..    |  2  0 | 60   *  *  * |  1  1  0   2  0  0  0 | 1  1  0  2  2  0 0 |  1  1 2 0
oo oo3oo5oo&#x |  1  1 |  * 120  *  * |  0  0  1   2  1  0  0 | 0  2  1  1  2  0 0 |  1  2 1 0
.x .. .. ..    |  0  2 |  *   * 20  * |  0  0  3   0  0  3  0 | 0  3  3  0  0  3 0 |  1  3 0 1
.. .. .. .x    |  0  2 |  *   *  * 60 |  0  0  0   0  1  1  2 | 0  0  1  0  2  2 1 |  0  2 1 1
---------------+-------+--------------+-----------------------+--------------------+----------
.. o.3x. ..    |  3  0 |  3   0  0  0 | 20  *  *   *  *  *  * | 1  0  0  2  0  0 0 |  1  0 2 0
.. .. x.5o.    |  5  0 |  5   0  0  0 |  * 12  *   *  *  *  * | 1  0  0  0  2  0 0 |  0  1 2 0
ox .. .. ..&#x |  1  2 |  0   2  1  0 |  *  * 60   *  *  *  * | 0  2  1  0  0  0 0 |  1  2 0 0
.. .. xo ..&#x |  2  1 |  1   2  0  0 |  *  *  * 120  *  *  * | 0  1  0  1  1  0 0 |  1  1 1 0
.. .. .. ox&#x |  1  2 |  0   2  0  1 |  *  *  *   * 60  *  * | 0  0  1  0  2  0 0 |  0  2 1 0
.x .. .. .x    |  0  4 |  0   0  2  2 |  *  *  *   *  * 30  * | 0  0  1  0  0  2 0 |  0  2 0 1
.. .. .o5.x    |  0  5 |  0   0  0  5 |  *  *  *   *  *  * 24 | 0  0  0  0  1  1 1 |  0  1 1 1
---------------+-------+--------------+-----------------------+--------------------+----------
.. o.3x.5o.     30  0 | 60   0  0  0 | 20 12  0   0  0  0  0 | 1  *  *  *  *  * * |  0  0 2 0
ox .. xo ..&#x   2  2 |  1   4  1  0 |  0  0  2   2  0  0  0 | * 60  *  *  *  * * |  1  1 0 0
ox .. .. ox&#x   1  4 |  0   4  2  2 |  0  0  2   0  2  1  0 | *  * 30  *  *  * * |  0  2 0 0
.. oo3xo ..&#x   3  1 |  3   3  0  0 |  1  0  0   3  0  0  0 | *  *  * 40  *  * * |  1  0 1 0
.. .. xo5ox&#x   5  5 |  5  10  0  5 |  0  1  0   5  5  0  1 | *  *  *  * 24  * * |  0  1 1 0
.x .. .o5.x      0 10 |  0   0  5 10 |  0  0  0   0  0  5  2 | *  *  *  *  * 12 * |  0  1 0 1
.. .o3.o5.x      0 20 |  0   0  0 30 |  0  0  0   0  0  0 12 | *  *  *  *  *  * 2 |  0  0 1 1
---------------+-------+--------------+-----------------------+--------------------+----------
ox oo3xo ..&#x   3  2 |  3   6  1  0 |  1  0  3   6  0  0  0 | 0  3  0  2  0  0 0 | 20  * * *
ox .. xo5ox&#x   5 10 |  5  20  5 10 |  0  1 10  10 10  5  2 | 0  5  5  0  2  1 0 |  * 12 * *
.. oo3xo5ox&#x  30 20 | 60  60  0 30 | 20 12  0  60 30  0 12 | 1  0  0 20 12  0 1 |  *  * 2 *
.x .o3.o5.x      0 40 |  0   0 20 60 |  0  0  0   0  0 30 24 | 0  0  0  0  0 12 2 |  *  * * 1

© 2004-2024
top of page