# .

# Piriform Surface

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.

Undergraduate Texts in Mathematics

Graduate Studies in Mathematics

Retrieved from "http://en.wikipedia.org/"

All text is available under the terms of the GNU Free Documentation License