Tetrahedroid

Not to be confused with tetrahedron.

In algebraic geometry, a tetrahedroid (or tétraédroïde) is a special kind of Kummer surface studied by Cayley (1846), with the property that the intersections with the faces of a fixed tetrahedron are given by two conics intersecting in four nodes. Tetrahedroids generalize Fresnel's wave surface.

References

Cayley, Arthur (1846), "Sur la surface des ondes", Journal des Mathématiques Pures et Appliquées 11: 291–296, Collected papers vol 1 pages 302–305
Hudson, R. W. H. T. (1990), Kummer's quartic surface, Cambridge Mathematical Library, Cambridge University Press, ISBN 978-0-521-39790-2, MR 1097176

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