Magnetic Rubik's Cube

Rubik's Cube comprising of 27 independent cubes, held together by magnets.
Inspired by the title text on xkcd 2049

Should be quite close to standard dimensions

You will need:
- 1 Core
- 6 Centers
- 12 Edges
- 8 Corners
- 54 Faces
- 9 each in 6 colours
- 12 disc magnets; 10mm*2mm
- 96 disc magnets; 5mm*2mm
- glue for assembly

Yes, that's a lot of magnets, but you should be able to find them on eBay easily and cheaply enough.

Highly recommended to print with supports, at h