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Twists and Exponential Coordinates - GitHub Pages
Web1 The Twist Bend Nematic: A Case of Mistaken Identity. Edward T. Samulskia*, Alexandros G. Vanakarasb, and Demetri J. Photinosb a Department of Chemistry, University of North Carolina, USA b Department of Materials Science, University of Patras, Greece email: [email protected] Abstract We review the physics underlying Meyer’s conjecture of how … In differential geometry, the twist of a ribbon is its rate of axial rotation. Let a ribbon be composted of space curve , where is the arc length of , and the a unit normal vector, perpendicular at each point to . Since the ribbon has edges and , the twist (or total twist number) measures the average winding of the edge curve around and along the axial curve . According to Love (1944) twist is defined by where is the unit tangent vector to . The total twist number can be decomposed (Moffatt & Ricca 1… chamsys forum
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