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Tag Archives: compound
A Compound of the Great Stellated Dodecahedron and the Great Dodecahedron
In the picture above, each component of this compound has its own color. In the one below, each set of parallel faces is given a color of its own. These images were made using Stella 4d, software you may try … Continue reading
Posted in Mathematics
Tagged compound, dodecahedron, geometry, great, Mathematics, polyhedra, polyhedron, stellated
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A Compound of Three Trapezohedra
I came across this little beauty while exploring stellations of the triakis octahedron, which is the dual of the truncated cube. Its three components are each eight-faced trapezohedra, and it showed up as the sixth in that stellation-series. Stella 4d: … Continue reading
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Tagged compound, geometry, Mathematics, polyhedra, polyhedron, trapezohedra, trapezohedron
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The Eighteenth Stellation of the Rhombicosidodecahedron Is an Interesting Polyhedral Compound
The 18th stellation of the icosidodecahedron, shown above, is also an interesting compound. The yellow component of this compound is the rhombic triacontahedron, and the blue-and-red component is a “stretched” form of the truncated icosahedron. This was made using Stella … Continue reading
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Tagged compound, geometry, Mathematics, polyhedra, polyhedron, rhombic triacontahedron, rhombicosidodecahedron, stellation
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The Compound of the Truncated Isocahedron and the Pentakis Dodecahedron, with Related Polyhedra
The yellow-and-red polyhedron in the compound below is the truncated icosahedron, one of the Archimedean solids. The blue figure is its dual, the pentakis dodecahedron, which is one of the Catalan solids. The next image shows the convex hull of … Continue reading
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Tagged compound, convex hull, dual, geometry, Mathematics, pentakis dodecahedron, polyhedra, polyhedron, truncated icosahedron
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The Compound of the Octahedron and the Small Stellated Dodecahedron
I made this rotating virtual model using Stella 4d: Polyhedron Navigator, which you can try for yourself at http://www.software3d.com/Stella.php. This solid is different from most two-part polyhedral compounds because an unusually high fraction of one polyhedron, the yellow octahedron, is … Continue reading
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Tagged compound, geometry, Mathematics, octahedron, polyhedra, polyhedral, polyhedron, small stellated dodecahedron
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Some Ten-Part Polyhedral Compounds
While examining different facetings of the dodecahedron, I stumbled across one which is also a compound of ten elongated octahedra. Here’s what this compound looks like with the edges and vertices hidden: Next, I’ll put the edges and vertices back, … Continue reading
Posted in Mathematics
Tagged compound, cube, geometry, Mathematics, octahedra, octahedron, polyhedra, polyhedral, polyhedron
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A Compound of an Octahedron and a Pyritohedral Dodecahedron
I made this using Stella 4d: Polyhedron Navigator. You can try this program for free at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged compound, dodecahedron, geometry, Mathematics, octahedron, polyhedra, polyhedral, polyhedron, pyritohedral
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