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Tag Archives: symmetry
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
A Gallery of Two Dozen Polyhedra with Icosidodecahedral Symmetry, with a Few of Them Chiral
Any of these rotating polyhedra may be made larger with a click. I created them using Stella 4d, a program you may try (as a free trial download) at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged geometry, icosahedral, icosidodecahedral, Mathematics, polyhedra, polyhedron, symmetry
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A Gallery of Fourteen Polyhedra with Cuboctahedral Symmetry
Any of these rotating polyhedra may be made larger with a single click. All were created using Stella 4d, a program you may try for free at this website: http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged cuboctahedral, geometry, Mathematics, octahedral, polyhedra, polyhedron, symmetry
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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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An Asymmetrical Static Equilibrium Physics Problem Involving Pulleys and Hanging Masses
An interesting phenomenon in physics, and physics education, is the simplicity of symmetric situations, compared to the complexity of similar situations which are, instead, asymmetrical. Students generally learn the symmetrical versions first, such as this static equilibrium problem, with the … Continue reading
Posted in Education, Science and Scientists
Tagged asymmetrical, asymmetry, Education, experiment, force, physics, problem, pulley, science, static equilibrium, symmetrical, symmetry
2 Comments
A Gallery of Cuboctahedral Polyhedra, and Polyhedral Compounds, Some of Them Chiral
Any of these images may be enlarged with a click. They were all created using Stella 4d, available at this website.
Posted in Mathematics
Tagged cuboctahedral, geometry, Mathematics, octahedral, polyhedra, polyhedron, symmetry
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