Are there any interesting examples of planar isometries? I mean apart from some standard ones like: the Swiss-Roll and the S-curve which are isometric to a rectangular strip. Another one I guess would be a sector of a planar circle which is isometric to a cone in 3D. I am looking for any other interesting examples and the corresponding parametric formulas for such cases.
2026-03-29 18:32:35.1774809155
Examples Of Planar Isometries of 3D surfaces
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Tangent developables: union of the tangents to a space curve.
Also, one can join developable surfaces together:
Developable fork: thegeometryofbending.