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.

• Cayley, Arthur (1846), "Sur la surface des ondes", Journal de Mathématiques Pures et Appliquées, 11: 291–296, Collected papers vol 1 pages 302–305
• Hudson, R. W. H. T. (1990) [First published 1905], Kummer's quartic surface, Cambridge Mathematical Library, Cambridge University Press, ISBN 978-0-521-39790-2, MR 1097176

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