11. Including an icosahedron or whatever does not make you a mathematical artist. 12. Icosahedrons cannot be packed together to fill a solid space leaving no gaps.13. However, neither the regular icosahedron nor the regular dodecahedron are amongst them. 14. There are 60 copies of each of these proteins assembled as an icosahedron . 15. The existence of the icosahedron amounts to the existence of six equiangular lines in. 16. Truncating edges down to points produces the great icosidodecahedron as a rectified great icosahedron . 17. The "'compound polyhedron is also a stellation of the regular icosahedron . 18. Each icosahedron is surrounded by 20 truncated tetrahedra. 19. Apical spikes extending about 20 nanometers ( nm ) protrude from the icosahedrons vertices. 20. Now think about an icosahedron , that's much more like a ball.