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Tag Archives: truncated
Selected Stellations of the Truncated Dodecahedron
This is the truncated dodecahedron. It is one of the Archimedean solids. This polyhedron has a long stellationseries, from which I selected several on aesthetic grounds. The figure immediately below is the truncated dodecahedron’s 16th stellation. Here is the 21st … Continue reading
Posted in Mathematics
Tagged dodecahedron, geometry, Mathematics, polyhedra, polyhedron, stellated, stellation, truncated
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Some Tetrahedral Stellations of the Truncated Cube
I created these with Stella 4d, which you may try for free at this website. To make a given polyhedral stellation appear larger, simply click on it.
Posted in Mathematics
Tagged cube, geometry, Mathematics, polyhedra, polyhedron, stellated, stellation, symmetry, tetrahedral, truncated
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The Truncated Cube, with Two Variations Featuring Regular Dodecagons
This is the truncated cube, one of the thirteen Archimedean solids. If the truncationplanes are shifted, and increased in number, in just the right way, this variation is produced. Its purple faces are regular dodecagons, and the orange faces are … Continue reading
Posted in Mathematics
Tagged cube, dodecagon, geometry, Mathematics, polyhedra, polyhedron, truncated
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An Oblique Truncation of the Tetrahedron
This polyhedron has sixteen faces: four equilateral triangles, and a dozen kites. It was created using Stella 4d, which may be found at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged geometry, kite, Mathematics, oblique, polyhedra, polyhedron, tetrahedral, tetrahedron, truncated
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A Faceted Truncated Tetrahedron, or Seven Tetrahedra Joined at Their Edges — Your Choice
I made this by faceting a truncated tetrahedron, giving it faces which are interpenetrating, red, equilateral triangles, as well as yellow crossededged hexagons. It can also be viewed as a central tetrahedron, with six more tetrahedra attached to its edges. … Continue reading
Posted in Mathematics
Tagged faceted, faceting, geometry, Mathematics, polyhedra, polyhedron, teterahedron, truncated
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Partially Truncated Platonic and Rhombic Dodecahedra
Each of these dodecahedra were modified by truncations at exactly four of their threevalent vertices. As a result, each has four equilateral triangles as faces. In the one above, the Platonic dodecahedron’s pentagonal faces are modified into a dozen irregular … Continue reading
Posted in Mathematics
Tagged dodecahedra, dodecahedron, geometry, Mathematics, partial, Platonic, polyhedra, polyhedron, rhombic, truncated, truncation
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Four Different Facetings of the Great Rhombcuboctahedron
All four of these rotating images were created using software called Stella 4d: Polyhedron Navigator. You can buy this program, or try it for free, at this website. Faceting is the inverse function of stellation, and involves connecting the vertices … Continue reading
Posted in Mathematics
Tagged facet, faceted, faceting, geometry, great, icosidodecahedron, Mathematics, polyhedra, polyhedron, rhombcuboctahedron, rhombicuboctahedron, truncated
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