Sacred Geometry people are my math heretics— The mad with power inquisition version of me would want them burned at the stake. As it is? I just seethe at their “incorrect appreciation of geometry”

They worship wrong.

I bought a book of geometric constructions — (not reading about it too carefully...) Just cracked it open. It cheerfully gives instructions for constructing a triangle, square, pentagon, hexagon, and heptagon…

A footnote begrudgingly admits the heptagon is only 98.25% correct. 1/

I almost thought that footnote wouldn’t even be there! This book is that glib. The footnote contains the most interesting fact presented in the entire book.

I must compulsively check all these constructions to see if they are “real” they probably are— but still.

I wonder how the heptagon approximation was created— I get the desire to just know how to make a serviceable regular solid— but to talk of heptagons but not unconstructability ? heresy I say!

@futurebird
I know that book. Ain't nothing wrong with approximations if you cop to it. That heptagon is similar to one Albrecht Durer draws and he doesn't admit to its inaccuracy.

You can (and should) construct a heptagon by origami methods.
http://origametry.net/papers/heptagon.pdf