I’ve written several times about the “squircle,” a sort of compromise between a square and a circle. It looks something…
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Kissing circle
Curvature is a measure of how tightly a curve bends. A circle of radius r has curvature 1/r. So a…
Continue ReadingSelf-curvature
If you look at a sine wave, its curvature is sorta like its values. When sine is zero, the curve…
Continue ReadingCurvature of an ellipsoid
For an ellipsoid with equation the Gaussian curvature at each point is given by Now suppose a ≥ b ≥…
Continue ReadingTotal curvature of a knot
Tie a knot in a rope and join the ends together. At each point in the rope, compute the curvature,…
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