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- Stellated_octahedron abstract "The stellated octahedron is the only stellation of the octahedron. It is also called the stella octangula (Latin for \"eight-pointed star\"), a name given to it by Johannes Kepler in 1609, though it was known to earlier geometers. It was depicted in Pacioli's Divina Proportione, 1509.It is the simplest of five regular polyhedral compounds.It can be seen as a 3D extension of the hexagram: the hexagram is a two-dimensional shape formed from two overlapping equilateral triangles, centrally symmetric to each other, and in the same way the stellated octahedron can be formed from two centrally symmetric overlapping tetrahedra. It can also be seen as one of the stages in the construction of a 3D Koch Snowflake, a fractal shape formed by repeated attachment of smaller tetrahedra to each triangular face of a larger figure. The first stage of the construction of the Koch Snowflake is a single central tetrahedron, and the second stage, formed by adding four smaller tetrahedra to the faces of the central tetrahedron, is the stellated octahedron.".
- Stellated_octahedron thumbnail Compound_of_two_tetrahedra.png?width=300.
- Stellated_octahedron wikiPageExternalLink books?id=OJowej1QWpoC&printsec=frontcover.
- Stellated_octahedron wikiPageID "2601866".
- Stellated_octahedron wikiPageLength "7546".
- Stellated_octahedron wikiPageOutDegree "62".
- Stellated_octahedron wikiPageRevisionID "694734019".
- Stellated_octahedron wikiPageWikiLink Catalan_solid.
- Stellated_octahedron wikiPageWikiLink Category:Polyhedral_compounds.
- Stellated_octahedron wikiPageWikiLink Category:Polyhedral_stellation.
- Stellated_octahedron wikiPageWikiLink Convex_hull.
- Stellated_octahedron wikiPageWikiLink Coxeter_group.
- Stellated_octahedron wikiPageWikiLink Coxeter–Dynkin_diagram.
- Stellated_octahedron wikiPageWikiLink Cube.
- Stellated_octahedron wikiPageWikiLink Desmic_system.
- Stellated_octahedron wikiPageWikiLink Dual_polyhedron.
- Stellated_octahedron wikiPageWikiLink Faceting.
- Stellated_octahedron wikiPageWikiLink Figurate_number.
- Stellated_octahedron wikiPageWikiLink Harold_Scott_MacDonald_Coxeter.
- Stellated_octahedron wikiPageWikiLink Hexagram.
- Stellated_octahedron wikiPageWikiLink Johannes_Kepler.
- Stellated_octahedron wikiPageWikiLink Johnson_solid.
- Stellated_octahedron wikiPageWikiLink Koch_snowflake.
- Stellated_octahedron wikiPageWikiLink List_of_Wenninger_polyhedron_models.
- Stellated_octahedron wikiPageWikiLink List_of_geometers.
- Stellated_octahedron wikiPageWikiLink Luca_Pacioli.
- Stellated_octahedron wikiPageWikiLink M._C._Escher.
- Stellated_octahedron wikiPageWikiLink Octahedral_symmetry.
- Stellated_octahedron wikiPageWikiLink Octahedron.
- Stellated_octahedron wikiPageWikiLink Peter_R._Cromwell.
- Stellated_octahedron wikiPageWikiLink Point_reflection.
- Stellated_octahedron wikiPageWikiLink Polytope_compound.
- Stellated_octahedron wikiPageWikiLink Projective_space.
- Stellated_octahedron wikiPageWikiLink Pyramid_(geometry).
- Stellated_octahedron wikiPageWikiLink Regular_Polytopes_(book).
- Stellated_octahedron wikiPageWikiLink Reye_configuration.
- Stellated_octahedron wikiPageWikiLink Schläfli_symbol.
- Stellated_octahedron wikiPageWikiLink Stars_(M._C._Escher).
- Stellated_octahedron wikiPageWikiLink Stella_octangula_number.
- Stellated_octahedron wikiPageWikiLink Stellation.
- Stellated_octahedron wikiPageWikiLink Subgroup.
- Stellated_octahedron wikiPageWikiLink Symmetry_group.
- Stellated_octahedron wikiPageWikiLink Tetrahedral_symmetry.
- Stellated_octahedron wikiPageWikiLink Tetrahedron.
- Stellated_octahedron wikiPageWikiLink Triakis_octahedron.
- Stellated_octahedron wikiPageWikiLink Triangle.
- Stellated_octahedron wikiPageWikiLink Vertex_arrangement.
- Stellated_octahedron wikiPageWikiLink File:Compound_of_two_tetrahedra.png.
- Stellated_octahedron wikiPageWikiLink File:CubeAndStel.svg.
- Stellated_octahedron wikiPageWikiLink File:Diagonal_facet_of_cube.png.
- Stellated_octahedron wikiPageWikiLink File:Spherical_compound_of_two_tetrahedra.png.
- Stellated_octahedron wikiPageWikiLink File:Stellated_octahedron-edges_3-fold-axis.png.
- Stellated_octahedron wikiPageWikiLink File:Stellated_octahedron_3-fold-axis.png.
- Stellated_octahedron wikiPageWikiLink File:Stellated_octahedron_persp_2.svg.
- Stellated_octahedron wikiPageWikiLink File:Stellated_octahedron_persp_3.svg.
- Stellated_octahedron wikiPageWikiLink File:Stellated_octahedron_persp_4.svg.
- Stellated_octahedron wikiPageWikiLink File:Stellated_octahedron_persp_6.svg.
- Stellated_octahedron wikiPageWikiLink File:Stellated_octahedron_stellation_plane.png.
- Stellated_octahedron wikiPageWikiLink File:Stellation_of_octahedron_facets.png.
- Stellated_octahedron wikiPageWikiLinkText "Stellated octahedron".
- Stellated_octahedron wikiPageWikiLinkText "stellated octahedron".
- Stellated_octahedron title "Compound of two tetrahedra".
- Stellated_octahedron title "Stella Octangula".
- Stellated_octahedron urlname "StellaOctangula".
- Stellated_octahedron urlname "Tetrahedron2-Compound".
- Stellated_octahedron wikiPageUsesTemplate Template:CDD.
- Stellated_octahedron wikiPageUsesTemplate Template:Commons_category.
- Stellated_octahedron wikiPageUsesTemplate Template:KlitzingPolytopes.
- Stellated_octahedron wikiPageUsesTemplate Template:Mathworld.
- Stellated_octahedron wikiPageUsesTemplate Template:OEIS.
- Stellated_octahedron wikiPageUsesTemplate Template:Reflist.
- Stellated_octahedron wikiPageUsesTemplate Template:3,3.
- Stellated_octahedron subject Category:Polyhedral_compounds.
- Stellated_octahedron subject Category:Polyhedral_stellation.
- Stellated_octahedron hypernym Stellation.
- Stellated_octahedron type Redirect.
- Stellated_octahedron comment "The stellated octahedron is the only stellation of the octahedron. It is also called the stella octangula (Latin for \"eight-pointed star\"), a name given to it by Johannes Kepler in 1609, though it was known to earlier geometers.".
- Stellated_octahedron label "Stellated octahedron".
- Stellated_octahedron sameAs Q1887384.
- Stellated_octahedron sameAs Estel_octangle.
- Stellated_octahedron sameAs Sterntetraeder.
- Stellated_octahedron sameAs Stelookangulopluredro.
- Stellated_octahedron sameAs Estrella_octángula.
- Stellated_octahedron sameAs Octangle_étoilé.
- Stellated_octahedron sameAs תמניון_מכוכב.
- Stellated_octahedron sameAs Stella_octangula.
- Stellated_octahedron sameAs 星型八面体.
- Stellated_octahedron sameAs Stella_octangula.
- Stellated_octahedron sameAs Stella_octangula.
- Stellated_octahedron sameAs m.07qzl2.
- Stellated_octahedron sameAs Звёздчатый_октаэдр.
- Stellated_octahedron sameAs Q1887384.
- Stellated_octahedron sameAs 星形八面體.
- Stellated_octahedron wasDerivedFrom Stellated_octahedron?oldid=694734019.
- Stellated_octahedron depiction Compound_of_two_tetrahedra.png.
- Stellated_octahedron isPrimaryTopicOf Stellated_octahedron.