golygon

thumb|400px|The smallest golygon has 8 sides. It is the only solution with fewer than 16 sides. It contains two Concave polygon|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). 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°.

== Properties== In any golygon, all horizontal edges have the same parity as each other, as do all vertical edges. Therefore, the number n of sides must allow the solution of the system of equations \pm 1 \pm 3 \pm \cdots \pm (n-1) = 0 \pm 2 \pm 4 \pm \cdots \pm n = 0.