Rotating a curve around an axis produces a surface of revolution, which has rotational symmetry around that axis. Here are some example surfaces of revolution; the white plane curves at left, when rotated about the green axes, generate the surfaces at right.
|This Cartesian oval (with p~1.61)||yields this ovoid egg shape|
|This squiggle||yields this cup|
|These circles||yield this doughnut (torus)|
Return to The Shape of an Egg, or the main EggMath page.