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RICHMOND SURFACE

Herbert William Richmond (1863-1948): British mathematician.

 
Cartesian parametrization:
(where ).
Rational algebraic surface.

The Richmond surface of order n is the minimal surface obtained by taking  in the Weierstrass parametrization of a minimal surface.


Richmond surface of order 4





The Richmond surface of order 0 (that corresponds to ) is none other than the catenoid.
Compare to the Enneper surface, another minimal surface.
 
 
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© Robert FERRÉOL  2017