Conchoid surfaces of spheres
Algebraic Geometry
2014-01-10 v2
Abstract
The conchoid of a surface with respect to given fixed point is roughly speaking the surface obtained by increasing the radius function with respect to by a constant. This paper studies {\it conchoid surfaces of spheres} and shows that these surfaces admit rational parameterizations. Explicit parameterizations of these surfaces are constructed using the relations to pencils of quadrics in and . Moreover we point to remarkable geometric properties of these surfaces and their construction.
Cite
@article{arxiv.1111.1110,
title = {Conchoid surfaces of spheres},
author = {Martin Peternell and David Gruber and Juana Sendra},
journal= {arXiv preprint arXiv:1111.1110},
year = {2014}
}