Symmetroid

A Quartic Surface which is the locus of zeros of the Determinant of a Symmetric $4\times 4$ matrix of linear forms. A general symmetroid has 10 Ordinary Double Points (Jessop 1916, Hunt 1996).

References

Hunt, B. ``Algebraic Surfaces.'' http://www.mathematik.uni-kl.de/~wwwagag/Galerie.html.

Hunt, B. ``Symmetroids and Weddle Surfaces.'' §B.5.3 in The Geometry of Some Special Arithmetic Quotients. New York: Springer-Verlag, pp. 315-319, 1996.

Jessop, C. Quartic Surfaces with Singular Points. Cambridge, England: Cambridge University Press, p. 166, 1916.