Tag Archives: symmetry

A Miscellany of Polyhedra with Icosidodecahedral Symmetry

Posted on 3 December 2017 by

All of these polyhedra were made using Stella 4d: Polyhedron Navigator. If you’d like to try this program yourself, simply visit http://www.software3d.com/Stella.php, where a free trial download is available.

Posted in Mathematics | Tagged , , , , , , | 2 Comments

Some Tetrahedral Stellations of the Truncated Cube

Posted on 19 January 2017 by

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.

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Tetrahedrally-Symmetric Creatures with Polyhedral Legs

Posted on 23 November 2016 by

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.

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A Gallery of Two Dozen Polyhedra with Icosidodecahedral Symmetry, with a Few of Them Chiral

Posted on 4 November 2016 by

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.

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A Gallery of Fourteen Polyhedra with Cuboctahedral Symmetry

Posted on 4 November 2016 by

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.

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A Tetrahedral Exploration of the Icosahedron

Posted on 24 June 2016 by

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 →

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An Asymmetrical Static Equilibrium Physics Problem Involving Pulleys and Hanging Masses

Posted on 16 April 2016 by

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 →

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