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HECTOR GUIMARD'S SURFACE

Hector Guimard (1867 - 1942): French architect and decorator. 

 
Cartesian parametrization: .

Union of the lines (M(v) N(v)), with  and .
 

Hector Guimard's surface is the ruled surface union of the lines indicated above, when the point M has a linear sinusoidal movement and the point N a circular sinusoidal movement with two arches, and is therefore describing the pancake curve.
 
 


View showing the various segment lines [MN]

The back of the circular part of this canopy of the Parisian underground, due to Hector Guimard, is a portion of Guimard's surface.
The interest of this roof is to obtain a central gutter.

See also Gaudi's surface.
 
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© Robert FERRÉOL, Jacques MANDONNET 2017