Dreikopftile

If you see lots of fidget spinners on the fotos: Congratulations -- maeeep -- wrong!

The objects here are simple wooden toys cut from 3mm plywood with a lasercutter. (Yeah, the center hole is only there to fool those fidget spinner addicts.) The pieces tile the plane and can be cut with very little waste. The pieces connect to each other in a zig-zag way, and 8 pieces form a ring. This is not mathematically perfect, but as it is wood, it easily bends inwards to close the ring. Or 10 pieces form a ring if bent outwards.

Two rings can be connected by additional 4 pieces to form a cube (or a pentagonal box).

Stacked cubes form columns. Columns can be connected in 90 deg. angles.
An arc (or a complete large 10 sided regular polygon) can be formed, if short columns of cubes are connected with 5 sided boxes in regular intervals.

The svg file also has a layer containing 4 headed tiles. Those are intended to create useful strings of tiles, which is not possible with the 3 headed