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Tetrahedroid

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This is an old revision of this page, as edited by Trappist the monk (talk | contribs) at 23:04, 25 September 2014 (→References: replace mr template with mr parameter in CS1 templates; using AWB). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

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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