A

David

Darling

golygon

The smallest golygon has 8-sides. It is the only solution with fewer than 16 sides. It contains two concave corners, and fits on an 8 × 10 grid.

The smallest golygon has 8-sides. It is the only solution with fewer than 16 sides. It contains two concave corners, and fits on an 8 × 10 grid.


A golygon is a series of straight-line segments that have lengths of one, two, three and so on, up to some finite number of units, with the property that every segment connects at a right angle to the segment that is one unit larger, except the longest segment, which meets the shortest segment at a right angle.

 

The name "golygon" was invented by the recreational mathematician Lee Sallows. Golygons have inspired some interesting puzzles as well as some intriguing research problems.