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. It is also a spirolateral, 890°1,5.

A golygon, or more generally a serial isogon of 90°, is any polygon with all right angles (a rectilinear polygon) whose sides are consecutive integer lengths. Golygons were invented and named by Lee Sallows, and popularized by A.K. Dewdney in a 1990 Scientific American column (Smith).[1] Variations on the definition of golygons involve allowing edges to cross, using sequences of edge lengths other than the consecutive integers, and considering turn angles other than 90°.[2]

  1. ^ Dewdney, A.K. (1990). "An odd journey along even roads leads to home in Golygon City". Scientific American. 263: 118–121. doi:10.1038/scientificamerican0790-118.
  2. ^ Harry J. Smith. "What is a Golygon?". Archived from the original on 2009-10-27.