robinhouston on Nostr: I thought the list of still-unsolved problems at the end of the paper was ...

I thought the list of still-unsolved problems at the end of the paper was interesting:

* Is a three-piece dissection still impossible if flipping is allowed?

* Are there only a finite number of rectangles that can be dissected into three pieces from a triangle? If so, how can they be enumerated?

* Are there any other four-piece dissections between an equilateral triangle and a square, aside from the solution proposed by Dudeney?

* Are there any pairs of regular n-gons and m-gons that can be dissected into three pieces, where n ≠ m?

* Is a three-piece dissection still impossible if we allow nonpolygonal (curved) pieces?