Extended Data Fig. 8: Ruled surfaces approximate scarred sheet shapes.
From: Multistable sheets with rewritable patterns for switchable shape-morphing

a, A helicoidal base curve of radius R and pitch 2πT with local coordinate frame \(\{\widehat{{\boldsymbol{t}}},\widehat{{\boldsymbol{n}}},\widehat{{\boldsymbol{b}}}\}\) (pink line) approximates a scar line. b, Straight rules of length Wf extending at an orthogonal angle β away from the base curve (grey lines) approximate the sheet’s grooves.