Weddle surface

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

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, MR1097176, http://www.archive.org/details/184605691 
• 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, MR1502899 
• Weddle, Thomas (1850), Camb. And Dub. Math journal 5: 69