In algebraic geometry, a tetrahedroid (or tétraédroïde) is a special kind of

Kummer surface In algebraic geometry, a Kummer quartic surface, first studied by , is an irreducible nodal surface of degree 4 in \mathbb^3 with the maximal possible number of 16 double points. Any such surface is the Kummer variety of the Jacobian variet ...

studied by , with the property that the intersections with the faces of a fixed

tetrahedron In geometry, a tetrahedron (: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular Face (geometry), faces, six straight Edge (geometry), edges, and four vertex (geometry), vertices. The tet ...

are given by two conics intersecting in four nodes. Tetrahedroids generalize Fresnel's

wave surface In mathematics, Fresnel's wave surface, found by Augustin-Jean Fresnel in 1822, is a quartic surface describing the propagation of light in an optically biaxial crystal. Wave surfaces are special cases of tetrahedroids which are in turn special c ...

References

* * Algebraic surfaces Complex surfaces {{algebraic-geometry-stub