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Tag Archives: kite
A Chiral Polyhedron Made of Kites and Triangles, Along with Its Dual, Made of Triangles and Isosceles Trapezoids
To make this polyhedron using Stella 4d (available here), one starts with the icosahedron, drops the symmetry of the model down from icosahedral to tetrahedral, and then stellates it once. The result is a chiral solid featuring four triangular faces … Continue reading
Posted in Mathematics
Tagged chiral, geometry, isosceles, kite, Mathematics, polyhedra, polyhedron, trapezoid
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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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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