geodesic geometry

R. Buckminster Fuller method 1 spheres and domes from icosahedra or octahedra

try it out

make then make run

files

• geodesic.h + .c data
• OpenGL/mesh.h + .c rendering, and more mesh data for rendering

geodesic.h / .c

types

 // sphere
geodesicSphere icosahedronSphere(int v);
geodesicSphere octahedronSphere(int v);
geodesicSphere tetrahedronSphere(int v);
 // dome
geodesicDome icosahedronDome(int v, float crop);
geodesicDome octahedronDome(int v, float crop);
geodesicDome tetrahedronDome(int v, float crop);

usage

geodesicSphere icosphere = icosahedron(3)  // 3v icosahedron
geodesicDome dome = icosahedronDome(3, 5/9);  // 3v 5/9 dome

now you have access to points, lines, face, as well as normals data. For domes, there's also more complicated data involved in slicing the sphere into a dome including number of slice meridians, triangle count on each row, relationship of face to row number.

mesh.h / .c

initialize

geodesicMeshTriangles mesh = makeMeshTriangles(&icosphere, .75){
geodesicMeshNormals normals = makeMeshNormals(&icosphere);

draw

// draw geodesic objects
drawGeodesicTriangles(&icosphere);
drawDomeMeshTriangles(&dome, &domeTriangleMesh);

// draw mesh objects
drawGeodesicExtrudedTriangles(&mesh);
drawGeodesicVertexNormalLines(&normals);
drawGeodesicFaceNormalLines(&normals);

memory

delete geometry when you are done

deleteGeodesicSphere(&geodesic);
deleteGeodesicDome(&dome);

deleteMeshNormals(&normals);
deleteMeshTriangles(&mesh);