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.