An Icosahedron - The Hard Way ------------------------------------------- The usual way to draw an icosahedron on a computer is to get the vertex coordinates from the Internet and also data about which vertices make up the edges and faces of the icosahedron. Press Space to change #ofvertices. When done, press the Right Arrow This project draws an icosahedron the hard way! It generates the vertices, edges and faces rather than inputting values for them. - The project generates the 12 vertices of the icosahedron. (An icosahedron has 12 vertices, 30 edges and 20 faces). The project generates 12 random points on a sphere, then tries to spread them equally around the sphere to become the vertices of the icosahedron. - The project generates the edges of the icosahedron by connecting the vertices that are closest together - The project generates the faces of the icosahedron. The project tests whether the vertices at both ends of an edge can be connected to a third common vertex along other edges. Each set of 3 vertices that are fully connected by edges form a triangular face of the icosahedron. Finally the project colours the faces and rotates the generated icosahedron. * It is not easy to spread points equally around a sphere. When the points are poorly spread by the algorithm I use, the project fails to produce an icosahedron. A regular icosahedron is one of the 5 Platonic Solids.
