2022-11-29

sdi: Oil painting of the Heliconian Muse whispering inspiration to Hesiod. (Default)
2022-11-29 01:51 pm
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Inscribed Regular Polygons

A very common traditional construction was, given a circle and a point on it, inscribe a regular polygon within it with a vertex at that point. I've completed my collection of non-exotic inscribed polygons using (I believe) as few circles as possible, and figured I'd share them in case anyone is interested.

(Regular decagons (10 sides) and pentadecagons (15 sides) are also commonly encountered, due to their appearance in Euclid, but I've omitted them for being of less interest with compass-only constructions.) Read more... )