Acronym trasnid
Name triangle - snub-dodecahedron duoprism
Circumradius sqrt[210+42 sqrt(5)+6 cbrt[20448+9140 sqrt(5)+12 sqrt(7137+3192 sqrt(5))]+6 cbrt[20448+9140 sqrt(5)-12 sqrt(7137+3192 sqrt(5))]]/12 = 2.231808
Confer
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x3o s3s5s

. . demi( . . . ) | 180 |   2  1   2   2 |  1  2  1  1   4   4   3 |  1  2  2 1  2  2   6 |  1  1 2  3
------------------+-----+----------------+-------------------------+----------------------+-----------
x . demi( . . . ) |   2 | 180  *   *   * |  1  1  0  0   2   2   0 |  1  1  1 0  2  2   3 |  1  1 1  3
. .       s 2 s   |   2 |   * 90   *   * |  0  2  0  0   0   0   2 |  1  0  0 1  0  0   4 |  0  0 2  2
. . sefa( s3s . ) |   2 |   *  * 180   * |  0  0  1  0   2   0   1 |  0  2  0 1  1  0   2 |  1  0 2  1
. . sefa( . s5s ) |   2 |   *  *   * 180 |  0  0  0  1   0   2   1 |  0  0  2 1  0  1   2 |  0  1 2  1
------------------+-----+----------------+-------------------------+----------------------+-----------
x3o demi( . . . ) |   3 |   3  0   0   0 | 60  *  *  *   *   *   * |  1  0  0 0  2  2   0 |  1  1 0  3
x .       s 2 s   |   4 |   2  2   0   0 |  * 90  *  *   *   *   * |  1  0  0 0  0  0   2 |  0  0 1  2
. .       s3s .      3 |   0  0   3   0 |  *  * 60  *   *   *   * |  0  2  0 1  0  0   0 |  1  0 2  0
. .       . s5s      5 |   0  0   0   5 |  *  *  * 36   *   *   * |  0  0  2 1  0  0   0 |  0  1 2  0
x . sefa( s3s . ) |   4 |   2  0   2   0 |  *  *  *  * 180   *   * |  0  1  0 0  1  0   1 |  1  0 1  1
x . sefa( . s5s ) |   4 |   2  0   0   2 |  *  *  *  *   * 180   * |  0  0  1 0  0  1   1 |  0  1 1  1
. . sefa( s3s5s ) |   3 |   0  1   1   1 |  *  *  *  *   *   * 180 |  0  0  0 1  0  0   2 |  0  0 2  1
------------------+-----+----------------+-------------------------+----------------------+-----------
x3o       s 2 s      6 |   6  3   0   0 |  2  3  0  0   0   0   0 | 30  *  * *  *  *   * |  0  0 0  2
x .       s3s .      6 |   3  0   6   0 |  0  0  2  0   3   0   0 |  * 60  * *  *  *   * |  1  0 1  0
x .       . s5s     10 |   5  0   0  10 |  0  0  0  2   0   5   0 |  *  * 36 *  *  *   * |  0  1 1  0
. .       s3s5s     60 |   0 30  60  60 |  0  0 20 12   0   0  60 |  *  *  * 3  *  *   * |  0  0 2  0
x3o sefa( s3s . )    6 |   6  0   3   0 |  2  0  0  0   3   0   0 |  *  *  * * 60  *   * |  1  0 0  1
x3o sefa( . s5s )    6 |   6  0   0   3 |  2  0  0  0   0   3   0 |  *  *  * *  * 60   * |  0  1 0  1
x . sefa( s3s5s )    6 |   3  2   2   2 |  0  1  0  0   1   1   2 |  *  *  * *  *  * 180 |  0  0 1  1
------------------+-----+----------------+-------------------------+----------------------+-----------
x3o       s3s .      9 |   9  0   9   0 |  3  0  3  0   9   0   0 |  0  3  0 0  3  0   0 | 20  * *  *
x3o       . s5s     15 |  15  0   0  15 |  5  0  0  3   0  15   0 |  0  0  3 0  0  5   0 |  * 12 *  *
x .       s3s5s    120 |  60 60 120 120 |  0 30 40 24  60  60 120 |  0 20 12 2  0  0  60 |  *  * 3  *
x3o sefa( s3s5s )    9 |   9  3   3   3 |  3  3  0  0   3   3   3 |  1  0  0 0  1  1   3 |  *  * * 60

starting figure: x3o x3x5x

© 2004-2019
top of page