Acronym n,ti-dip
Name n-gon - truncated-icosahedron duoprism
Circumradius sqrt[(29+9 sqrt(5))/8+1/(4 sin2(π/n))]
Especially trati (n=3)   squati (n=4)   hati (n=6)   oti (n=8)  
Confer
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

xno x3x5o   (n>2)

. . . . . | 60n |   2   1   2 |  1   2   4   2   1 |  1  2   4   2 1 |  2  1 2
----------+-----+-------------+--------------------+-----------------+--------
x . . . . |   2 | 60n   *   * |  1   1   2   0   0 |  1  2   2   1 0 |  2  1 1
. . x . . |   2 |   * 30n   * |  0   2   0   2   0 |  1  0   4   0 1 |  2  0 2
. . . x . |   2 |   *   * 60n |  0   0   2   1   1 |  0  1   2   2 1 |  1  1 2
----------+-----+-------------+--------------------+-----------------+--------
xno . . . |   n |   n   0   0 | 60   *   *   *   * |  1  2   0   0 0 |  2  1 0
x . x . . |   4 |   2   2   0 |  * 30n   *   *   * |  1  0   2   0 0 |  2  0 1
x . . x . |   4 |   2   0   2 |  *   * 60n   *   * |  0  1   1   1 0 |  1  1 1
. . x3x . |   6 |   0   3   3 |  *   *   * 20n   * |  0  0   2   0 1 |  1  0 2
. . . x5o |   5 |   0   0   5 |  *   *   *   * 12n |  0  0   0   2 1 |  0  1 2
----------+-----+-------------+--------------------+-----------------+--------
xno x . .   2n |  2n   n   0 |  2   n   0   0   0 | 30  *   *   * * |  2  0 0
xno . x .   2n |  2n   0   n |  2   0   n   0   0 |  * 60   *   * * |  1  1 0
x . x3x .   12 |   6   6   6 |  0   3   3   2   0 |  *  * 20n   * * |  1  0 1
x . . x5o   10 |   5   0  10 |  0   0   5   0   2 |  *  *   * 12n * |  0  1 1
. . x3x5o   60 |   0  30  60 |  0   0   0  20  12 |  *  *   *   * n |  0  0 2
----------+-----+-------------+--------------------+-----------------+--------
xno x3x .   6n |  6n  3n  3n |  6  3n  3n   n   0 |  3  3   n   0 0 | 20  * *
xno . x5o   5n |  5n   0  5n |  5   0  5n   0   n |  0  5   0   n 0 |  * 12 *
x . x3x5o  120 |  60  60 120 |  0  30  60  40  24 |  0  0  20  12 2 |  *  * n

© 2004-2019
top of page