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FRESNEL'S ELASTICITY SURFACE

Surface studied by Fresnel.
Augustin Fresnel 1788-1827: French engineer. |

Cartesian equation: , for the ellipsoid . Cartesian parametrization: . Quartic surface. |

Fresnel's elasticity surface is the pedal of the ellipsoid with respect to its center.

It is the generalization to space of Booth's oval, and besides, the sections by the 3 symmetry planes are Booth's ovals.

Stripped-down view along with the initial ellipsoid.

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© Robert FERRÉOL 2017