Well, I guess the school summer hols must be over, because I've been getting more maths questions again. Schoolboy Ranjit, writing from India, tells me they've got a project to make the platonic solids by cutting them each in one contiguous figure from a single sheet of paper, and he needs help.
Well, Ranjit, there are just 5 regular convex polyhedra ( = the Platonic solids) and here are the construction kits to cut them each in one piece from a single piece of paper. BTW, "regular" means that all the corners have the same number of edges meeting there, all the faces are the same, all the angles at the corners are the same, and all the edges are the same length. And "convex" means that all the corners point outwards.
I've shown the polyhedral edges in the construction kits, but edges are hard to stick together. So I suggest you leave room for a little tab on each of the outside edges of the construction kits, folding along the polyhedral edges, and glueing the tabs :-)
BTW, there is a useful formula interrelating the number of corners (C), edges (E), and faces (F) of any convex polyhedron, not just the regular five. It was discovered by Euler and is :-
Now go visit my blog please :-)
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