Rupesh Roshan

“The cube is a great 3D shape, and it’s so great partly because it’s so regular. In 2D, if you remember, we had our regular polygons which had all angles and edges the same, and now we can extend this to 3D. The 3D equivalent of a polygon is a polyhedron, and it’s made by joining polygons together in the third dimension. A cube is a polyhedron made by joining six square polygons together. A tetrahedron is a polyhedron made from four triangle polygons. Whereas polygons have only corners and edges, a polyhedron also has vertices where the polygon corners meet. A regular polyhedron is one made only from identical regular polygons and in which all the vertices are also exactly the same.”
― Matt Parker, Things to Make and Do in the Fourth Dimension

“Twelve pentagons form a Platonic solid (the great dodecahedron), as do twenty triangles (the great icosahedron).”
― Matt Parker, Things to Make and Do in the Fourth Dimension

“What grabbed me first about Cantor’s face in Nico’s poster were his eyes. They looked past the camera, focusing at nothing, but strained in thought. I wondered if Cantor had been wrestling with some mathematical problem at the precise moment when the picture was taken. Only Cantor knew, and he was dead.”
― Gaurav Suri, A Certain Ambiguity: A Mathematical Novel

“triangles will join in this way to give you an icosahedron. A sixth triangle on a vertex fits perfectly, leaving no”
― Matt Parker, Things to Make and Do in the Fourth Dimension