4
votes
0answers
175 views

Sphere Covering Problem

Is it possible that one can cover a sphere with 19 equal spherical caps of 30 degrees(i.e. angular radius is 30 degrees)? A table of Neil Sloane suggests it is impossible, but I want to know if anyone ...
1
vote
1answer
119 views

Restricted Cube Packing

I want to pack n cubes in 3-space under the following 3 restrictions: 1) At each vertex only 2 cubes may touch 2) No two cubes may share an edge 3) No two cubes share any subface 2,3 just mean ...