Surfaces of Revolution

A module of Egg Math for Chickscope.

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) [Oval curve]yields this ovoid egg shape[Egg shape]
This squiggle[Goblet cross-section]yields this cup[Goblet]
These circles[Two circles]yield this doughnut (torus)[Doughnut shape]

Return to The Shape of an Egg, or the main EggMath page.