and I remember stuff pretty well — like what page Lincoln's Gettysburg Address was on in my seventh grade history text, or the math page that had equation for figuring the surface area of a regular dodecahedron.
This group is the smallest non-abelian simple group, and it characterizes the orientation - preserving symmetries of the regular icosahedron and dodecahedron.
The hovering guests include five regular, convex polyhedrons comprised of identically sided, congruent faces: the tetrahedron, cube, octahedron, dodecahedron and icosahedron.