Surfaces of RevolutionRotating 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.