Talk:Skew polygon

Definition and regularity

I miss a clear definition of regular skew polygon. Note that a skew polygon is not a special kind of polygon, in the sense of Wikipedia (but the other way round); so, the definition of regular for polygons does not automatically transfer to skew polygons.

But I assume that one could define a regular skew polygon to be both isogonal and isotoxal, since those definitions also make sense for skew polygons. Being equilateral and equiangular does not suffice for skew polygons, is my guess, because edge torsion angles could still vary to break isogonality.

Wstomv (talk) 12:53, 22 January 2021 (UTC)

I've rectified the first part, the formalization of a skew "polygon" as a space closed polygon chain, which was used in Polygon. I hope that helps further defining a regular skew polygon. fgnievinski (talk) 01:54, 21 October 2024 (UTC)

Regular Skew Polygons in 3D

Not all regular skew polygons are zig-zag as a square helix is both isogonal and isotoxal. I think there should be a note about that but its very important. Pigeonwitharms (talk) 17:41, 22 December 2023 (UTC)

Polygonal helices are indeed regular skew polygons. However, the sentence I presume you are commenting on is restricted to apeirogons in 2 dimensions and polygonal helices are 3 dimensional, which is why they are not mentioned there. AquitaneHungerForce (talk) 16:13, 21 October 2024 (UTC)