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Vladimir Igorevich Arnol’d on wave fronts, tennis balls, and caustics

Link #caustics #plane curves #algebraic geometry #topology #invariants #contact structures #contact topology #wave fronts #waves #curves #points #control #convex #inflection point #point of inflection #southern curve #interpolation #singularities #tennis ball #hemisphere #affine #affine line #affine curve

Vladimir Igorevich Arnol’d on wave fronts, tennis balls, and caustics

Link #caustics #plane curves #algebraic geometry #topology #invariants #contact structures #contact topology #wave fronts #waves #curves #points #control #convex #inflection point #point of inflection #southern curve #interpolation #singularities #tennis ball #hemisphere #affine #affine line #affine curve

Vladimir Igorevich Arnol’d on wave fronts, tennis balls, and caustics

Link #caustics #plane curves #algebraic geometry #topology #invariants #contact structures #contact topology #wave fronts #waves #curves #points #control #convex #inflection point #point of inflection #southern curve #interpolation #singularities #tennis ball #hemisphere #affine #affine line #affine curve

Affine transformations preserve parallel lines, and include rotations, scaling, shears and translati

Link #gif #math #maths #linear algebra #affine transformation #animation #affine #matrix