Lee Sallows |
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Serial-sided IsogonsA 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/ |
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Last Updated: 14-6-2020 |
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