Now, a Platonic body does not mean a Pg 71heavenly body; but it will suit the purpose of our puzzle if we suppose there to be a habitable planet of this shape. Amusements in Mathematics
Platonic bodies; cube, rhomboid; tetrahedron, pentahedron, hexahedron, octahedron, dodecahedron, icosahedron, eicosahedron; prism, pyramid; parallelopiped; curb roof, gambrel roof, mansard roof. Roget's Thesaurus of English Words and Phrases