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 Selected Stellations of the Truncated Dodecahedron
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Tag Archives: dodecahedron
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
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A Dozen Pulsating Dodecahedra
To make this using Stella 4d (available here) I started with an icosahedron, placed a dodecahedron on each of its vertices, then rendered the central icosahedron invisible. The slight pulsating effect is caused by the program fitting the polyhedra tightly … Continue reading
Posted in Art, Mathematics
Tagged Art, dodecahedra, dodecahedron, dozen, geometric, geometrical, geometry, mathematical, Mathematics
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The Dodecahedron, Made from Smaller Polyhedra
The polyhedra at the vertices are rhombic triacontahedra, and the yellow edges are elongated rhombic prisms. This was made using Stella 4d, software you may try for free at this website.
Posted in Mathematics
Tagged dodecahedron, geometry, Mathematics, polyhedra, polyhedron
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Four Sets of Five Circles On Each of the Faces of a Dodecahedron
After using Geometer’s Sketchpad and MSPaint to make the image on the faces (seen alone in the last post), I then used Stella 4d: Polyhedron Navigator to project these images onto a red dodecahedron, and create this .gif. Stella is … Continue reading
Posted in Art, Mathematics
Tagged Art, dodecahedron, geometric, geometrical, geometry, mathematical, Mathematics, polyhedra, polyhedron
4 Comments
A Hybrid of the Tetrahedron and the Great Dodecahedron
I made this by stellating a dodecahedron repeatedly, but doing so with Stella 4d, the polyhedralmanipulation software I use (available here), set to use tetrahedral symmetry, rather than the higherorder icosahedral symmetry (which I often call “icosidodecahedral” symmetry) inherent to … Continue reading
Posted in Mathematics
Tagged dodecahedron, geometry, hybrid, Mathematics, offspring, polyhedra, polyhedron, stellated, stellation, tetrahedron
2 Comments