[FOM] Compass and straight edge constructions

[Timothy Y. Chow]

Joe Shipman wrote:

> With standard origami folds you can solve cubics and quartics the same 
> as with a marked ruler, but if you allow rolling of cones or cylinders 
> you can n-sect angles for any n, and this get all algebraic numbers with 
> abelian galois group by the Kronecker-Weber theorem.

With so-called origami "multifolds", we can get any algebraic number.

http://alum.mit.edu/www/tchow/multifolds.pdf

Tim