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Tag Archives: kite
Eight Kite-Rhombus Solids, Plus Five All-Kite Polyhedra — the Convex Hulls of the Thirteen Archimedean-Catalan Compounds
In a kite-rhombus solid, or KRS, all faces are either kites or rhombi, and there are at least some of both of these quadrilateral-types 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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Two Dozen Kites Each, in Three Sets, as Faces of a Polyhedron
This was created using Stella 4d, a program you can buy, or try for free, at http://www.software3d.com/Stella.php.
Five Polyhedra Featuring Kites, as Well as Other Polygons, as Faces
Software credit: I used Stella 4d (available at http://www.software3d.com/Stella.php) to create these polyhedral images.
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 Polyhedron Featuring 180 Kites as Faces, Plus Related Polyhedra
If one starts with the great rhombicosidodecahedron, then makes a compound of it, and its dual, and then forms the convex hull of that compound, this is the result: This polyhedron has 180 faces, all of them kites. What’s more, … Continue reading
Flying Kites into the Snub Dodecahedron, a Dozen at a Time, Using Tetrahedral Stellation
I’ve been shown, by the program’s creator, a function of Stella 4d which was previously unknown to me, and I’ve been having fun playing around with it. It works like this: you start with a polyhedron with, say, icosidodecahedral symmetry, … Continue reading
Posted in Mathematics
Tagged chiral, chirality, geometry, kite, Mathematics, polyhedra, polyhedron, snub dodecahedron, stellated, stellating, stellation, symmetry, tetrahedral
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