Acronym tiggipe
Name truncated-great-icosahedron prism
Circumradius sqrt[(31-9 sqrt(5))/8] = 1.165943
Dihedral angles
  • at {4} between hip and stip:   arccos(-sqrt[(5-2 sqrt(5))/15]) = 100.812317°
  • at {6} between hip and tiggy:   90°
  • at {5/2} between stip and tiggy:   90°
  • at {4} between hip and hip:   arccos(sqrt(5)/3) = 41.810315°
External
links
hedrondude  

As abstract polytope tiggipe is isomorphic to tipe, thereby replacing pentagrams by pentagons resp. replacing tiggy by ti and stip by pip.


Incidence matrix according to Dynkin symbol

x x3x5/2o

. . .   . | 120 |  1  1   1 |  1  2  2  1 |  2  1 1
----------+-----+-----------+-------------+--------
x . .   . |   2 | 60  *   * |  1  2  0  0 |  2  1 0
. x .   . |   2 |  * 60   * |  1  0  2  0 |  2  0 1
. . x   . |   2 |  *  * 120 |  0  1  1  1 |  1  1 1
----------+-----+-----------+-------------+--------
x x .   . |   4 |  2  2   0 | 30  *  *  * |  2  0 0
x . x   . |   4 |  2  0   2 |  * 60  *  * |  1  1 0
. x3x   . |   6 |  0  3   3 |  *  * 40  * |  1  0 1
. . x5/2o |   5 |  0  0   5 |  *  *  * 24 |  0  1 1
----------+-----+-----------+-------------+--------
x x3x   .   12 |  6  6   6 |  3  3  2  0 | 20  * *
x . x5/2o   10 |  5  0  10 |  0  5  0  2 |  * 12 *
. x3x5/2o   60 |  0 30  60 |  0  0 20 12 |  *  * 2

x x3x5/3o

. . .   . | 120 |  1  1   1 |  1  2  2  1 |  2  1 1
----------+-----+-----------+-------------+--------
x . .   . |   2 | 60  *   * |  1  2  0  0 |  2  1 0
. x .   . |   2 |  * 60   * |  1  0  2  0 |  2  0 1
. . x   . |   2 |  *  * 120 |  0  1  1  1 |  1  1 1
----------+-----+-----------+-------------+--------
x x .   . |   4 |  2  2   0 | 30  *  *  * |  2  0 0
x . x   . |   4 |  2  0   2 |  * 60  *  * |  1  1 0
. x3x   . |   6 |  0  3   3 |  *  * 40  * |  1  0 1
. . x5/3o |   5 |  0  0   5 |  *  *  * 24 |  0  1 1
----------+-----+-----------+-------------+--------
x x3x   .   12 |  6  6   6 |  3  3  2  0 | 20  * *
x . x5/3o   10 |  5  0  10 |  0  5  0  2 |  * 12 *
. x3x5/3o   60 |  0 30  60 |  0  0 20 12 |  *  * 2

xx3xx5/2oo&#x   → height = 1
(tiggy || tiggy)

o.3o.5/2o.    | 60  * |  1  2  1  0  0 |  2  1  1  2  0  0 | 1  2  1 0
.o3.o5/2.o    |  * 60 |  0  0  1  1  2 |  0  0  1  2  2  1 | 0  2  1 1
--------------+-------+----------------+-------------------+----------
x. ..   ..    |  2  0 | 30  *  *  *  * |  2  0  1  0  0  0 | 1  2  0 0
.. x.   ..    |  2  0 |  * 60  *  *  * |  1  1  0  1  0  0 | 1  1  1 0
oo3oo5/2oo&#x |  1  1 |  *  * 60  *  * |  0  0  1  2  0  0 | 0  2  1 0
.x ..   ..    |  0  2 |  *  *  * 30  * |  0  0  1  0  2  0 | 0  2  0 1
.. .x   ..    |  0  2 |  *  *  *  * 60 |  0  0  0  1  1  1 | 0  1  1 1
--------------+-------+----------------+-------------------+----------
x.3x.   ..    |  6  0 |  3  3  0  0  0 | 20  *  *  *  *  * | 1  1  0 0
.. x.5/2o.    |  5  0 |  0  5  0  0  0 |  * 12  *  *  *  * | 1  0  1 0
xx ..   ..&#x |  2  2 |  1  0  2  1  0 |  *  * 30  *  *  * | 0  2  0 0
.. xx   ..&#x |  2  2 |  0  1  2  0  1 |  *  *  * 60  *  * | 0  1  1 0
.x3.x   ..    |  0  6 |  0  0  0  3  3 |  *  *  *  * 20  * | 0  1  0 1
.. .x5/2.o    |  0  5 |  0  0  0  0  5 |  *  *  *  *  * 12 | 0  0  1 1
--------------+-------+----------------+-------------------+----------
x.3x.5/2o.     60  0 | 30 60  0  0  0 | 20 12  0  0  0  0 | 1  *  * *
xx3xx   ..&#x   6  6 |  3  3  6  3  3 |  1  0  3  3  1  0 | * 20  * *
.. xx5/2oo&#x   5  5 |  0  5  5  0  5 |  0  1  0  5  0  1 | *  * 12 *
.x3.x5/2.o      0 60 |  0  0  0 30 60 |  0  0  0  0 20 12 | *  *  * 1

© 2004-2019
top of page