3D Printing Sliced Cubes
I tried playing with Tinkercad, but the drag and drop visual interface drove me crazy. Then I found OpenSCAD, where I could program the actual geometry.
The code in that screenshot is posted here as slicecube.scad.. I'm releasing it Copyright 2018 under the GNU General Public License. You can play with the number of slices and the size of the cube. If you just want to print your own with my defaults you can download the STL files that follow.
In either case I'd like to hear from you, gmail username ebolker.
The simple six sliced cube
built from two each of
slices 1 and 6
,
slices 2 and 5
,
slices 3 and 4
.
To slice the cube into seven pieces, subdivide the three foursomes of parallel edges into 3, 2 and 2 to see
built from two each of
slices 1 and 7
,
slices 2 and 6
,
slices 3 and 5
and one of the
middle slice
which has two cool pentagonal faces.
You need one of each; there's no symmetry
slice 1
slice 2
slice 1
slice 4
slice 5
slice 6
slice 7
slice 8
slice 9
slice 10
slice 11
slice 12
Thanks to Kevin Osborn for box design and base tweaks.
Base for four standard size cubes.
STL,
OpenSCAD code.
Box and lid for one standard size cube.
Box STL,
Lid STL,
OpenSCAD code.
Here are STL files for six and seven slice earrings. Each file prints one earring, so print twice for a pair. (There are extra small pieces since some are occasionally lost in production.) You can mix and match colors, of course.
If you want to order from shapeways use the second version. These have thin connectors so that you are charged for just one piece. Shapeways will warn you that they are too thin and may disappear. Since that's just what you want, tell it to "print anyway".
I use hardware from Michaels: fishhooks and two inch headpins .
Six slices 
just the slices,
slices joined.
Seven slices 
just the slices,
slices joined.