Golygon
A golygon is a polygon with right angles and consecutive integer sides, popularized by Lee Sallows and A.K. Dewdney. They have specific properties, with sides being multiples of 8. Golygons have variations like spirolaterals and golyhedrons, showcasing unique mathematical properties.
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A golygon is a polygon with all right angles and consecutive integer side lengths. They were named by Lee Sallows and popularized by A.K. Dewdney. Golygons have specific properties where the number of sides must allow for a system of equations to be solved, resulting in the number of sides being a multiple of 8. The number of golygons for different values of sides can be efficiently computed using generating functions. Non-crossing golygons present a more challenging problem to solve. Golygons have generalizations like spirolaterals and golyhedrons, which are three-dimensional versions confined to cubical lattice faces. Golyhedrons have been found with various face area sequences. The concept of serial-sided isogons and their variations are related to golygons, showcasing different orders and internal angles. Overall, golygons represent a unique class of polygons with distinct characteristics and mathematical properties.
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