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Serial-sided Isogons

A serial-sided isogon or, more simply, serial isogon of size n is a polygon in which all vertex angles are equal, while the n sides have lengths that occur in consecutive order, running from length 1 to length n

A golygon is the playful name I gave to that special case of a serial isogon in which the vertex angle is a right angle. The latter were in fact the earliest type of serial isogon to be investigated. 

There are two papers: Serial Isogons of 90 Degrees here, and New Pathways in Serial Isogons here.
There is also a Wikipedia article on golygons.

Two later developments of interest are prime-sided golygons; see

http://www.primepuzzles.net/puzzles/puzz_742.htm and

http://www.primepuzzles.net/puzzles/puzz_746.htm  and

http://www.primepuzzles.net/puzzles/puzz_747.htm

and Adam Goucher's golyhedra (extension to 3 dimensions); see:

https://cp4space.wordpress.com/2014/04/30/golygons-and-golyhedra/ and

http://cp4space.wordpress.com/2014/05/11/golyhedron-update/


Last Updated:
18-8-2016
  Copyright © Lee Sallows