openscad-polyhedra by benjaminedwardmorgan

Last crawled date: 3 years, 1 month ago

This is an OpenSCAD library intended to be used as part of other projects. I printed a few of the polyhedra as wireframe shapes using MeshMixer to generate supports.
The arrays and utility functions included here can be used to place modules coincident with the vertices, edges and faces of the Platonic and Archimedean solids.
All polyhedra are centered at the origin and have an edge length of 1.
Included polyhedra:
tetrahedron
octahedron
hexahedron
icosahedron
dodecahedron
cubeoctahedron
truncated_tetrahedron
snub_cube
rhombicuboctahedron
truncated_hexahedron
truncated_octahedron
icosidodecahedron
snub_dodecahedron
rhombicosidodecahedron
truncated_cuboctahedron
truncated_icosahedron
truncated_dodecahedron
truncated_icosidodecahedron
Each shape includes an array of vertices, edges, adjacent_vertices, and faces.
Archimedean solids also include separate arrays of faces that are of the same polygon shape.
Example:
snub_dodecahedron_vertices - an array of 3-vectors
snub_dodecahedron_edges - an array of 2-tuples containing indexes into the vertices array, one tuple for each edge.
snub_dodecahedron_adjacent_vertices - an array of arrays, each containing indexes into the vertex array. For example, snub_dodecahedron_adjacent_vertices[3] is an array containing the indexes of vertices that are connected to snub_dodecahedron_vertices[3] by an edge
snub_dodecahedron_triangle_faces and snub_dodecahedron_pentagon_faces contain arrays with indices in the vertex array for each triangular and pentagonal face, respectively
snub_dodecahedron_faces contains all faces
Usage:
// add polyhedra.scad to your project and include it
include;

// to arrange modules at vertices
for(i=[0:len(snub_dodecahedron_vertices)-1])
orient_vertex(
snub_dodecahedron_vertices[i],
snub_dodecahedron_vertices[snub_dodecahedron_adjacent_vertices[i][0]]
)
// your vertical module centered at the origin here. For example:
sphere(r=0.2,$fn=64);

// to arrange modules along the edges
for(i=[0:len(snub_dodecahedron_edges)-1])
orient_edge(
snub_dodecahedron_vertices[snub_dodecahedron_edges[i][0]],
snub_dodecahedron_vertices[snub_dodecahedron_edges[i][1]]
)
// your vertical module centered at the origin here. For example:
cylinder(height=1,r=0.1,center=true,$fn=32);

// to arrange modules on the faces
for(i=[0:len(snub_dodecahedron_faces)-1])
orient_face(
map_verts(snub_dodecahedron_vertices, snub_dodecahedron_faces[i])
)
// your module on the x-y plane here, centered at the origin. For example:
rotate(180/len(snub_dodecahedron_faces[i])-90)
cylinder(r=0.3,h=0.02,$fn=len(snub_dodecahedron_faces[i]));

// to construct a solid
polyhedron(
points = snub_dodecahedron_vertices,
faces = snub_dodecahedron_faces
);
Fork it on GitHub:https://github.com/benjamin-edward-morgan/openscad-polyhedra