Jessen's icosahedron

Definition

Jessen's icosahedron, sometimes called Jessen's orthogonal icosahedron, is a non-convex polyhedron with the same numbers of vertices, edges, and faces as the regular icosahedron. It is named for Børge Jessen, who studied it in 1967. In 1971, a family of nonconvex polyhedra including this shape was independently discovered and studied by Adrien Douady under the name six-beaked shaddock; later authors have applied variants of this name more specifically to Jessen's icosahedron.

Related concepts

A. D. Milka Adrien Douady Algebraic geometry Algebraic variety Alice Agogino Alicia Boole Stott Branko Grünbaum Buckminster Fuller Børge Jessen Cartesian coordinate system Complete variety Computers and Mathematics with Applications Convex hull Convex polyhedron Convex position Counterexample Cuboctahedron Cyclic permutation Degree (angle)Dehn invariant Dihedral angle Dihedral symmetry in three dimensions Edge (geometry)Equilateral triangle Face (geometry)Flexible polyhedron H. S. M. Coxeter Harold Scott MacDonald Coxeter Het Ding Hilbert's third problem Icosahedron Isogonal figure Isosceles triangle Jitterbug transformation Marcel Berger Michel Demazure NASA Institute for Advanced Concepts Net (polyhedron)Order of approximation Pacific Journal of Mathematics Polyhedron Projective variety Rational variety Regular Polytopes (book)Regular octahedron Right angle STL (file format)Schönhardt polyhedron Smooth scheme Star domain Structural rigidity Tensegrity Tetrahedron Triangulation (geometry)University of Twente Vertex (geometry)

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