Squares-in-Squares Coasters/Wall Art/Surface Textures/or Whatever

Thanks to David Ellsworth's high-precision SVGs,
I turned them into 3D models for potential creative uses.

Some discussion that went through my head:

• Make a big square tray with separate cubes to pack inside.

  • Too easy to knock everything out.

  • Too soft for a satisfying precision puzzle.

• Make the tray and use store-bought dice instead.

  • Dices usually have rounded corners.

  • No single standard dice size worldwide.

  • The dice might be hard enough, but the printed tray would still be soft.

• Extrude all small squares into cubes.

  • 4, 9, 16, ... would become boring solid slabs.

  • Most of the others would still end up with large chunks fused together.

• Extrude the boundary of small squares, not the whole area.

  • No universal model for all nozzle sizes.

• Shallow inlay for the boundary of small squares

  • No universal model for all nozzle sizes.

• Turn small squares into negative cubes subtracting a big slab.

  • Resulting models leak water and cannot be used as coasters.

• Make the slab thicker than cubes to avoid cutting all the way through.

  • The walls between touching squares have 0 thickness.

• Replace all small squares by pyramids.

  • Pyramids barely touch, so we still need a thick base.

So here we are,
the big slab is 1cm thick;
each 1cm square is turned into a negative inverted pyramid (bottom half of an octahedron).

Sink the models by 4.9mm to get the thinnest possible coasters.