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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.

See also Fresnel's wave surface.
 
 
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© Robert FERRÉOL   2017