The discussion centers around the challenge of splitting an angle into three equal parts, exploring various methods including traditional geometric approaches and origami techniques. Participants share their experiences and insights on the feasibility of this problem, as well as its implications in mathematics and geometry.
Participants express differing views on the methods for angle trisection, with some supporting the impossibility of traditional methods while others advocate for origami as a viable solution. The discussion remains unresolved regarding the implications of these methods and their historical context.
Some claims depend on specific definitions and assumptions about geometric constructions, and the discussion includes references to unresolved mathematical concepts.
Wow! Never heard about it. The classical three induced a lot of mathematics. Do you know whether anyone has explored origami methods in greater detail, will say which objects allowed transformations lead to?micromass said:Curiously, it can be done with origami. It's a very neat question which problems can be solved with origami as opposed to simple ruler and compass.
fresh_42 said:Wow! Never heard about it. The classical three induced a lot of mathematics. Do you know whether anyone has explored origami methods in greater detail, will say which objects allowed transformations lead to?
Yes, but this is cool: A folding with a center where all folds meet by angles ##α_1, \dots , α_{2n}## can be flattened if and only ifmicromass said:Squaring the circle would still be impossible though