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CONOCUNEUS
Surface studied by Wallis.
Used in architecture to make a certain type of vault ("back arch of SaintAntoine", "groin vault"...) From the Latin conus "cone", and cuneus "corner"). Other name: conical wedge. 
Cartesian equation of the conocuneus with axis Oz, directrix plane z = 0, and directrix the circle : .
Quartic surface. Cartesian parametrization: , with k = b /a. Cylindrical equation in the case a = b: . Intersection with the plane x = h: ,
ellipse with semiaxes b and kh=c.

The conocuneus is the right conoid with directrix a circle parallel to the axis.

Casts shaped like half conocunei, made by Alexandre Demir. 



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© Robert FERRÉOL 2017