Sufficiently elongated ellipses (eggs) can be arranged in a pentagonal
What is the least eccentric ellipse that can do this?
Can you construct a quasicristal with ellipses?
Sunflower seeds look a bit similar...
Nice pictures of tiling and
spiraled patterns here
Regular dodecahedra almost pack space. (In a suitable neighbourhood of
black hole, they would form a perfect packing, due to the curvature of
A "Stewart Toroid" I discovered years ago, based on dodecahedra and
Note that icosa-dodecahedra nicely fit in the holes, forming a quasi
to this, here are some
funky structures you can build with rhombicosidodecahedra:
packing animation of Ford circles modulo n.
The above Pythogaras tree can be made by folding A4 paper into half
repeatedly, and positioning as shown. Note that because of the 1:sqr(2)
proportion, you always get right -angles. The branches are termnate
once they touch another brang. Note that they touch exactly.