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Tag Archives: tetrahedral
Four Symmetrohedra with Tetrahedral Symmetry
Symmetrohedra are polyhedra with some form of polyhedral symmetry, and many (not necessarily all) regular faces. The first two symmetrohedra here each include four regular enneagons as faces. The next two symmetrohedra each include four regular dodecagons as faces. All … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, symmetrohedra, symmetrohedron, symmetry, tetrahedral
2 Comments
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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TetrahedrallySymmetric Creatures with Polyhedral Legs
Each of these has a tetrahedron hidden from view in the center. These were made using Stella 4d, which you may try for yourself here.
Posted in Art, Mathematics
Tagged geometric, geometrical, geometry, mathematical, Mathematics, polyhedra, polyhedron, symmetry, tetrahedral
1 Comment
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 Tetrahedral Exploration of the Icosahedron
Mathematicians have discovered more than one set of rules for polyhedral stellation. The software I use for rapidly manipulating polyhedra (Stella 4d, available here, including as a free trial download) lets the user choose between different sets of stellation criteria, … Continue reading
Posted in Mathematics
Tagged cuboctahedral, geometry, icosahedral, icosahedron, icosidodecahedral, Mathematics, octahedral, polyhedra, polyhedral, polyhedron, pyritohedral, solid, stellation, symmetry, tetrahedral
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47 Polyhedra with Tetrahedral Symmetry, Some of Them Chiral
To enlarge any individual image, simply click on it. These polyhedral images were created using Stella 4d: Polyhedron Navigator, a program you can find at http://www.software3d.com/Stella.php, with a free trial download available.
Posted in Mathematics
Tagged chiral, geometry, Mathematics, polyhedra, polyhedron, symmetry, tetrahedral
1 Comment