Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Jessens_icosahedron> ?p ?o }
Showing triples 1 to 50 of
50
with 100 triples per page.
- Jessens_icosahedron abstract "Jessen's icosahedron, sometimes called Jessen's orthogonal icosahedron, is a non-convex polyhedron with the same number of vertices, edges and faces as the regular icosahedron. It was introduced by Børge Jessen in 1967 and has several interesting geometric properties: It is vertex-transitive (or isogonal), meaning that it has symmetries taking any vertex to any other vertex. It has only right dihedral angles. It is (continuously) rigid but not infinitesimally rigid. That is, in less formal language, it is a shaky polyhedron. As with the simpler Schönhardt polyhedron, its interior cannot be triangulated into tetrahedra without adding new vertices. It is scissors-congruent to a cube, meaning that it can be sliced into smaller polyhedral pieces that can be rearranged to form a solid cube.Although a shape resembling Jessen's icosahedron can be formed by keeping the vertices of a regular icosahedron in their original positions and replacing certain pairs of equilateral-triangle faces by pairs of isosceles triangles, the resulting polyhedron does not have right-angled dihedrals. The vertices of Jessen's icosahedron are perturbed from these positions in order to give all the dihedrals right angles.".
- Jessens_icosahedron thumbnail Jessen_icosahedron_with_snub_icosahedron.png?width=300.
- Jessens_icosahedron wikiPageExternalLink Jessen.html.
- Jessens_icosahedron wikiPageExternalLink goldberg3.pdf.
- Jessens_icosahedron wikiPageExternalLink Jessen_.htm.
- Jessens_icosahedron wikiPageID "20347079".
- Jessens_icosahedron wikiPageID "46780961".
- Jessens_icosahedron wikiPageLength "2452".
- Jessens_icosahedron wikiPageLength "34".
- Jessens_icosahedron wikiPageOutDegree "1".
- Jessens_icosahedron wikiPageOutDegree "18".
- Jessens_icosahedron wikiPageRedirects Jessens_icosahedron.
- Jessens_icosahedron wikiPageRevisionID "663681006".
- Jessens_icosahedron wikiPageRevisionID "665438074".
- Jessens_icosahedron wikiPageWikiLink Børge_Jessen.
- Jessens_icosahedron wikiPageWikiLink Category:Nonconvex_polyhedra.
- Jessens_icosahedron wikiPageWikiLink Convex_polytope.
- Jessens_icosahedron wikiPageWikiLink Dihedral_angle.
- Jessens_icosahedron wikiPageWikiLink Geometry.
- Jessens_icosahedron wikiPageWikiLink Hilberts_third_problem.
- Jessens_icosahedron wikiPageWikiLink Icosahedron.
- Jessens_icosahedron wikiPageWikiLink Isogonal_figure.
- Jessens_icosahedron wikiPageWikiLink Jessens_icosahedron.
- Jessens_icosahedron wikiPageWikiLink Polyhedron.
- Jessens_icosahedron wikiPageWikiLink Right_angle.
- Jessens_icosahedron wikiPageWikiLink Schönhardt_polyhedron.
- Jessens_icosahedron wikiPageWikiLink Structural_rigidity.
- Jessens_icosahedron wikiPageWikiLink Tetrahedron.
- Jessens_icosahedron wikiPageWikiLink The_Fifty-Nine_Icosahedra.
- Jessens_icosahedron wikiPageWikiLink Triangulation_(geometry).
- Jessens_icosahedron wikiPageWikiLink Vertex_(geometry).
- Jessens_icosahedron wikiPageWikiLink File:Jessen_icosahedron_with_snub_icosahedron.png.
- Jessens_icosahedron wikiPageWikiLinkText "Jessen's icosahedron".
- Jessens_icosahedron title "Jessen's icosahedron".
- Jessens_icosahedron title "Shaky polyhedron".
- Jessens_icosahedron urlname "JessensOrthogonalIcosahedron".
- Jessens_icosahedron urlname "ShakyPolyhedron".
- Jessens_icosahedron wikiPageUsesTemplate Template:MathWorld.
- Jessens_icosahedron subject Category:Nonconvex_polyhedra.
- Jessens_icosahedron hypernym Polyhedron.
- Jessens_icosahedron comment "Jessen's icosahedron, sometimes called Jessen's orthogonal icosahedron, is a non-convex polyhedron with the same number of vertices, edges and faces as the regular icosahedron. It was introduced by Børge Jessen in 1967 and has several interesting geometric properties: It is vertex-transitive (or isogonal), meaning that it has symmetries taking any vertex to any other vertex. It has only right dihedral angles. It is (continuously) rigid but not infinitesimally rigid.".
- Jessens_icosahedron label "Jessen's icosahedron".
- Jessens_icosahedron label "Jessens icosahedron".
- Jessens_icosahedron sameAs Q6187017.
- Jessens_icosahedron sameAs m.04zw799.
- Jessens_icosahedron sameAs Q6187017.
- Jessens_icosahedron wasDerivedFrom Jessens_icosahedron?oldid=663681006.
- Jessens_icosahedron wasDerivedFrom Jessens_icosahedron?oldid=665438074.
- Jessens_icosahedron depiction Jessen_icosahedron_with_snub_icosahedron.png.
- Jessens_icosahedron isPrimaryTopicOf Jessens_icosahedron.