Acronym reti (alt.: amti)
Name rectified/ambified truncated icosahedron
 
 ©
Circumradius 3 [1+sqrt(5)]/2 = 4.854102
Face vector 90, 180, 92
Confer
ambification pre-image:
ti  

Rectification wrt. a non-regular polytope is meant to be the singular instance of truncations on all vertices at such a depth that the hyperplane intersections on the former edges will coincide (provided such a choice exists). Within the specific case of ti as a pre-image these intersection points might differ on its 2 edge types. Therefore ti cannot be rectified (within this stronger sense). Nonetheless the Conway operator of ambification (chosing the former edge centers generally) clearly is applicable. This would result in 2 different edge sizes in the outcome polyhedron.


Incidence matrix according to Dynkin symbol

do3od5fo&#zh   → height = 0 (d happens to be pseudo)
(h-laced tegum sum of (d,f)-srid and d-id)

o.3o.5o.     | 60  * |  2   2 |  1  1  2
.o3.o5.o     |  * 30 |  0   4 |  0  2  2
-------------+-------+--------+---------
.. .. f.     |  2  0 | 60   * |  1  0  1  f
oo3oo5oo&#h  |  1  1 |  * 120 |  0  1  1  h
-------------+-------+--------+---------
.. o.5f.     |  5  0 |  5   0 | 12  *  *  f-{5}
do3od ..&#zh |  3  3 |  0   6 |  * 20  *  h-{6}
.. .. fo&#h  |  2  1 |  1   2 |  *  * 60  fhh

© 2004-2024
top of page