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Piriform Surface

Quartic surface of revolution
\( (x^4-ax^3)+a^2(y^2+z^2)=0 \),

With a=1, this surface is termed the Zeck surface by Hauser. It has volume
\( V=1/(20)pia^3 \),

Hauser, H. "Algebraic Surfaces." http://www.freigeist.cc/gallery.html.

Nordstrand, T. "Surfaces." http://jalape.no/math/surfaces.

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