A soccer ball (also known as a "truncated icosahedron") is equivalent to a
(1,1) icosadeltahedron. To see this, draw the "dual" set of vertices, edges, and faces (new vertex in the center of each old face and new edges connecting new vertices associated to old faces that shared an old edge).
The links in purple show a (1,1) path between five-fold vertices (in blue).
Some other figures used in class:
- (3,1), (2,1), and (5,0) icosadeltahedral pictures
(from Lidmar et al. cond-mat/0306741, see also cond-mat/0311413 )
- (1,1) / T=3 icosadeltahedral pictures
from
Zandi et al.,
Origin of icosahedral symmetry in viruses (PNAS 101: 15556-15560, Nov 2004)
- T=1,3,4,7,16,97 icosadeltahedral pictures
from Zlotnick,
Viruses and the physics of soft condensed matter
(PNAS 101: 15549-15550, Nov 2004)