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Right-angled non-convex polyhedron
Jessen's icosahedron, sometimes called Jessen's orthogonal icosahedron, is a non-convex polyhedron with the same numbers of vertices, edges, and faces
Jessen's_icosahedron
Polyhedron with 20 faces
In geometry, an icosahedron (/ˌaɪkɒsəˈhiːdrən, -kə-, -koʊ-/ or /aɪˌkɒsəˈhiːdrən/) is a polyhedron with 20 faces. The name comes from Ancient Greek εἴκοσι
Icosahedron
Solid with twenty equal triangular faces
The regular icosahedron (or simply icosahedron) is a convex polyhedron that can be constructed from a pentagonal antiprism by attaching two pentagonal
Regular_icosahedron
Polyhedron with 8 triangles and 6 squares
the regular icosahedron, the Jessen's icosahedron, and the regular octahedron, in accordance with the pyritohedral symmetry of the icosahedron. When interpreted
Cuboctahedron
Structural design made of isolated members held in place by tension
tensegrity icosahedron. This choice of parameters gives the vertices the positions of Jessen's icosahedron; they are different from the regular icosahedron, for
Tensegrity
Polyhedron in which all edges are parallel
Though the angles between Jessen's icosahedron's faces are right angles, the edges are not axis-parallel, thus Jessen's icosahedron is not an orthogonal polyhedron
Orthogonal_polyhedron
Non-convex polyhedron with no triangulation
triangulation is NP-complete. Several other polyhedra, including Jessen's icosahedron, share with the Schönhardt polyhedron the properties of having no
Schönhardt_polyhedron
trapezohedron Hill tetrahedron Holyhedron Infinite skew polyhedron Jessen's icosahedron Near-miss Johnson solid Parallelepiped Pentagonal bifrustum Polytetrahedron
List_of_mathematical_shapes
trapezohedron Hill tetrahedron Holyhedron Infinite skew polyhedron Jessen's icosahedron Near-miss Johnson solid Tetrated dodecahedron Truncated triakis tetrahedron
List of polygons, polyhedra and polytopes
List_of_polygons,_polyhedra_and_polytopes
Flat-sided three-dimensional shape
that all faces meet at right angles, but this condition is weaker: Jessen's icosahedron has faces meeting at right angles, but does not have axis-parallel
Polyhedron
French mathematician (1935–2006)
is also a noted mathematician and an economist. Beltrami equation Jessen's icosahedron Kuiper's theorem Mashaal, Maurice (2006), Bourbaki: a secret society
Adrien_Douady
Three linked but pairwise separated rings
inscribed in Jessen's icosahedron in the same way that the representation by golden rectangles is inscribed in the regular icosahedron. The Borromean
Borromean_rings
Danish mathematician (1907–1993)
in his honor (Børge Jessen Diploma Award). Jessen's icosahedron Jessen–Wintner theorem Andersen, Erik Sparre (1993). "Børge Jessen: 19. juni 1907 - 20
Børge_Jessen
Solid with six equal square faces
outermost, these solids were arranged from octahedron, followed by the icosahedron, dodecahedron, tetrahedron, and eventually the cube. The cube has eleven
Cube
Value determined from a polyhedron
}=\arccos(-{\tfrac {1}{3}}{\sqrt {5}})\approx 138.2^{\circ }} for the icosahedron. The dihedral angle of a cube is a rational multiple of π {\displaystyle
Dehn_invariant
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