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Tag Archives: Archimedean
Eight KiteRhombus Solids, Plus Five AllKite Polyhedra — the Convex Hulls of the Thirteen ArchimedeanCatalan Compounds
In a kiterhombus solid, or KRS, all faces are either kites or rhombi, and there are at least some of both of these quadrilateraltypes as faces. I have found eight such polyhedra, all of which are formed by creating the … Continue reading
Posted in Mathematics
Tagged Archimedean, Catalan, convex hull, dual, duality, geometry, kite, Mathematics, polyehdron, polyhedra, rhombi, rhombus, solid
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Standard and Faceted Versions, Side by Side, of Each of the Thirteen Archimedean Solids
These two polyhedra are the truncated tetrahedron on the left, plus at least one faceted version of that same Archimedean solid on the right. As you can see, in each case, the figures have the same set of vertices — … Continue reading
Posted in Mathematics
Tagged Archimedean, chiral, chirality, compound, facet, faceted, faceting, geometry, Mathematics, polyhedra, polyhedral, polyhedron, solid
1 Comment
The Archimedean Solid That Isn’t
A common definition for “Archimedean solid” goes like this: Archimedean solids (1) are convex polyhedra, (2) include only faces which are regular, convex, nonintersecting polygons, (3) have more than one type of regular polygon used as faces, and (4) have … Continue reading
Posted in Mathematics
Tagged 14th Archimedean solid, Archimedean, definition, elongated square gyrobicupola, fourteenth, geometry, Johnson Solids, mathematical, Mathematics, Miller's solid, polyhedra, polyhedron, pseudorhombcuboctahedron, pseudorhombicuboctahedron, rhombcuboctahedron, rhombicuboctahedron, solid
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Five of the Thirteen Archimedean Solids Have Multiple English Names
I call the polyhedron above the rhombcuboctahedron. Other names for it are the rhombicuboctahedron (note the “i”), the small rhombcuboctahedron, and the small rhombicuboctahedron. Sometimes, the word “small,” when it appears, is put in parentheses. Of these multiple names, all … Continue reading
Image
10 June 2014
Tagged Archimedean, geometry, great, hexahedron, language, Mathematics, nomenclature, polyhedra, polyhedron, rant, rhombcuboctahedron, rhombicosidodecahedron, rhombicuboctahedron, small, solid, term, terminology, truncated cube, truncated cuboctahedron, truncated icosidodecahedron, words
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The Archimedean Solids This is a separate, singlepurpose blog of mine, and it has been completed, meaning no further posts will be made there. It contains rotating images of all thirteen Archimedean solids, including both enantiomers of the two which … Continue reading
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25 May 2014
Tagged Archimedean, geometry, Mathematics, net, polyhedra, polyhedron, solid
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