Apollonion Sphere Packing is a recursive algorithm to fill a (hollow) ball with spheres of different diameters. No spheres are intersecting, they touch each other. At infinity there is no empty space inside the ball. The algorithm starts with four balls at the vertices of a tetrahedron.
This thing includes five stages of the Apollonion Sphere Packing. The number of spheres includes a circumscribing sphere (which is obviously not contained in the STL-file).
Soddy0_5.stl: 9 spheres
Soddy0_4.stl: 21 spheres
Soddy0_3.stl: 45 spheres
Soddy0_2.stl: 82 spheres
Soddy0_15.stl: 224 spheres
Soddy0_1.stl: 550 spheres
Soddy0_05.stl: 2922 spheres
(The number refers to the radius of the smallest spheres occurring in the file.)
To make it easier to print the packed spheres most STL-files has a halved version. One can print this twice and glue both sides to each other. Caution: please look carefully what is the right orientation before glueing.
Note: Although Soddy Spheres are non-intersecting, in the STL-files there is a small overlap. It is handy when the spheres are connected after printing ;-)
| soddy0_05.stl | 170.5MB | |
| soddy0_1.stl | 100.4MB | |
| soddy0_15.stl | 21.6MB | |
| soddy0_15half.stl | 11.3MB | |
| soddy0_2.stl | 12.6MB | |
| soddy0_2half.stl | 6.7MB | |
| soddy0_3.stl | 8.8MB | |
| soddy0_3half.stl | 4.7MB | |
| soddy0_4.stl | 5.4MB | |
| soddy0_4half.stl | 2.9MB | |
| soddy0_5.stl | 2.1MB | |
| soddy0_5half.stl | 1.1MB |
