|Author||Amafirlian 08:29, 15 August 2007 (UTC)|
(0,5,0,30,0,5)-deltahedron forming a pentagonal torus.
Because the topology is not that of a sphere but that of a torus the relation between the number of spheres with valencies 3, 4, 5, 6, ..., (n3,n4,n5,n6,... ) is given by
It is completely rigid, and highly reminiscent of Alain Lobel's frames.
Counting: There are four rings: the inner ring has 5 balls, the two middle rings 10, and the outer 15, for a total of 40. Rods have additional supports between the rings, and extra 10*8=80 rods, for 120 total.