// Platonic solids example code // // Author : Chris H. Rycroft (LBL / UC Berkeley) // Email : chr@alum.mit.edu // Date : August 30th 2011 #include "voro++.hh" using namespace voro; // Golden ratio constants const double Phi=0.5*(1+sqrt(5.0)); const double phi=0.5*(1-sqrt(5.0)); int main() { voronoicell v; // Create a tetrahedron v.init(-2,2,-2,2,-2,2); v.plane(1,1,1); v.plane(1,-1,-1); v.plane(-1,1,-1); v.plane(-1,-1,1); v.draw_gnuplot(0,0,0,"tetrahedron.gnu"); // Create a cube. Since this is the default shape // we don't need to do any plane cutting. v.init(-1,1,-1,1,-1,1); v.draw_gnuplot(0,0,0,"cube.gnu"); // Create an octahedron v.init(-2,2,-2,2,-2,2); v.plane(1,1,1); v.plane(-1,1,1); v.plane(1,-1,1); v.plane(-1,-1,1); v.plane(1,1,-1); v.plane(-1,1,-1); v.plane(1,-1,-1); v.plane(-1,-1,-1); v.draw_gnuplot(0,0,0,"octahedron.gnu"); // Create a dodecahedron v.init(-2,2,-2,2,-2,2); v.plane(0,Phi,1); v.plane(0,-Phi,1); v.plane(0,Phi,-1); v.plane(0,-Phi,-1); v.plane(1,0,Phi); v.plane(-1,0,Phi); v.plane(1,0,-Phi); v.plane(-1,0,-Phi); v.plane(Phi,1,0); v.plane(-Phi,1,0); v.plane(Phi,-1,0); v.plane(-Phi,-1,0); v.draw_gnuplot(0,0,0,"dodecahedron.gnu"); // Create an icosahedron v.init(-2,2,-2,2,-2,2); v.plane(1,1,1); v.plane(-1,1,1); v.plane(1,-1,1); v.plane(-1,-1,1); v.plane(1,1,-1); v.plane(-1,1,-1); v.plane(1,-1,-1); v.plane(-1,-1,-1); v.plane(0,phi,Phi); v.plane(0,phi,-Phi); v.plane(0,-phi,Phi); v.plane(0,-phi,-Phi); v.plane(Phi,0,phi); v.plane(Phi,0,-phi); v.plane(-Phi,0,phi); v.plane(-Phi,0,-phi); v.plane(phi,Phi,0); v.plane(phi,-Phi,0); v.plane(-phi,Phi,0); v.plane(-phi,-Phi,0); v.draw_gnuplot(0,0,0,"icosahedron.gnu"); }