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Tag Archives: dodecahedron
Augmenting the Dodecahedron with Great Dodecahedra
These two polyhedra are the dodecahedron (left), and the great dodecahedron (right). Since the faces of both of these polyhedra are regular pentagons, it is possible to augment each of the dodecahedron’s twelve faces with a great dodecahedron. Here is … Continue reading
Posted in Mathematics
Tagged augment, augmentation, augmented, dodecahedra, dodecahedron, geometry, great, Mathematics, polyhedra, polyhedron
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A Compound of an Octahedron and a Pyritohedral Dodecahedron
I made this using Stella 4d: Polyhedron Navigator. You can try this program for free at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged compound, dodecahedron, geometry, Mathematics, octahedron, polyhedra, polyhedral, polyhedron, pyritohedral
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An Offspring of a Dodecahedron and a Tetrahedron
To make this polyhedron, I first changed the symmetrytype of a dodecahedron from icosahedral to tetrahedral, then stellated it twice. This was done using Stella 4d, a program you may try for free at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged dodecahedron, geometry, hybrid, isocahedral symmetry, Mathematics, offspring, polyhedra, polyhedron, stellation, tetrahedral symmetry, tetrahedron
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Creating a New Polyhedron from the Snub Dodecahedron
Shown below are the snub dodecahedron and its dual, the pentagonal hexecontahedron. Seeking a way to make a “new” polyhedron (one never seen before), I augmented each face of the orange dual, above, with prisms. These prisms have a height … Continue reading
Posted in Mathematics
Tagged dodecahedron, geometry, Mathematics, polyhedra, polyhedron, snub
2 Comments
Selected Stellations of the Truncated Dodecahedron
This is the truncated dodecahedron. It is one of the Archimedean solids. This polyhedron has a long stellationseries, from which I selected several on aesthetic grounds. The figure immediately below is the truncated dodecahedron’s 16th stellation. Here is the 21st … Continue reading
Posted in Mathematics
Tagged dodecahedron, geometry, Mathematics, polyhedra, polyhedron, stellated, stellation, truncated
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A Rhombic Dodecahedron, Made of Icosahedra, and Tall Triangular Antiprisms
Software used: Stella 4d, available at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged dodecahedron, geometry, Mathematics, polyhedra, polyhedron, rhombic
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Op Art on a Dodecahedron
I used Geometer’s Sketchpad and MSPaint to make the designs on the faces, and then assembled the dodecahedron with Stella 4d, a program you may try here.
Posted in Art, Mathematics
Tagged Art, circle, dodecahedron, geometry, Mathematics, op, polyhedra, polyhedron
1 Comment