Ethan D. Bolker
I've built mathematical models ever since I read Hugo Steinhaus's
"Mathematical Snapshots" more than 60 years ago. Over time I
graduated
from crude cardboard platonic polyhedra and soma cubes to some
constructions friends have graciously called art.
Steinhaus photographed the surprising hexagon that appears when
you
halve a cube with a plane perpendicular to the long diagonal. His
photo
inspired this four cube twenty four piece wooden puzzle and 3D
printed
earrings. Can you see the hexagons? Stranger shapes emerge when
you
slice into seven parts with six equally spaced planes not quite
perpendicular
to the long diagonal to create a twenty eight piece for cube
puzzle. You can
find out more and print your own at
www.cs.umb.edu/~eb/slicecubes.