Filling a 3D volume with ellipsoids, and other shapes

Graphics by Paul Bourke
October 2020

Interactive 3D models can be found here on SketchFab


Periodic bounds on all axes

Ellipsoid aspect 1:1:0.5. 5000 shapes.

Ellipsoid aspect 1:1:2. 5000 shapes.

Periodic bounds on 2 axis

Ellipsoid aspect 1:1:0.5. 5000 shapes.

Ellipsoid aspect 1:1:2. 5000 shapes.

Periodic bounds on 1 axis

Ellipsoid aspect 1:1:0.5. 5000 shapes.

Ellipsoid aspect 1:1:2. 5000 shapes.

No periodic bounds

Ellipsoid aspect 1:1:0.5. 5000 shapes.

Ellipsoid aspect 1:1:2. 5000 shapes.

Others

M&Ms and Jelly beans

10,000 and 20,000 spheres respectively

2x2 tiling of thin sheet with x-y periodic bounds

Torii packing, single periodis axis (right)

30000 dodecahedrons