So, I was after thinking, early one morning, that I had really ought to get back to that chrysanthemum model, being as there’s a big chysanthemum festival going on somewheres, but then I thought, it’s such a pain to make hexakaidecagons. What if I made them from squares and just folded the excess in? Hmm, I reflected, this would make the purists happy.
But you know, I can’t stand to make purists happy. Never could – sheer native cussedness. Melchior, the Oafish Brothercc of Casper the Friendly Ghost™ floated by around then and suggested that as the hexakaidecagon is almost a circle, I could just use a circle and really annoy the purists. Brilliant! I cried and immediately went on to do something else. (Did I mention my little problem with cussedness? Makes the bedstead psychomachia pale by comparison.)
First, I made pentagons from circles – puzzling at first, but then I remembered that anything that can be done with compass and straightedge can be done with paper. Bing, bang, badada, boom.
But heptagons, that was a challenge. They’re not constructible using traditional methods, though there are ways. Then, in the library, leafing through Miranda Lundy’s Sacred Geometry, I noticed she had a kickass method for estimating the angles. A little work and we were on our way to a seven pointed twist star that I thought very pretty.
Here’s the sequenced crease pattern for making the heptagon and here’s an unimproved CP for making a seven pointed twist star. But just about anything you make out of a heptagon is going to be pretty.