Weddle surface

In algebraic geometry, a Weddle surface, introduced by Weddle (1850, footnote on page 69), is a quartic surface in 3-dimensional projective space, given by the locus of vertices of the family of cones passing through 6 points in general position.

Weddle surfaces have 6 nodes and are birational to Kummer surfaces.

References

• Hudson, R. W. H. T. (1990), Kummer's quartic surface, Cambridge Mathematical Library, Cambridge University Press, ISBN 978-0-521-39790-2, MR 1097176 
• Moore, Walter L. (1928), "On the Geometry of the Weddle Surface", Annals of Mathematics, Second Series (Annals of Mathematics) 30 (1): 492–498, doi:10.2307/1968298, ISSN 0003-486X, JSTOR 1968298, MR 1502899 
• Weddle, Thomas (1850), "On the theorems in space analogous to those of Pascal and Brianchon in a plane.– Part II", Cambridge and Dublin mathematical journal 5: 58–69