This tiling, sent to me by Robert Fathauer, is composed of two simple nutshells of alternating icosagons (20-gons) and pentagons. One of these is the simplest possible nutshell - its interior "nut" is a single square!

The four narrow 20-rhombs at the centre of the larger nutshell remind me of the points of a compass.
Tiling

Translational Unit
Legend

Skeleton tiling

Tiling (Black and white)



