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 The Double Icosahedron, and Some of Its “Relatives”
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Tag Archives: icosahedral
A Miscellany of Polyhedra with Icosidodecahedral Symmetry
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 geometry, icosahedral, icosidodecahedral, Mathematics, polyhedra, polyhedron, symmetry
2 Comments
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 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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Four Convex Polyhedra with Icosidodecahedral Symmetry
The smaller images above may be enlarged with a click. All these polyhedra were made using Stella 4d, available here.
Posted in Mathematics
Tagged geometry, icosahedral, icosidodecahedral, Mathematics, polyhedra, polyhedron, symmetry
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Eight Chiral Polyhedra with Icosidodecahedral Symmetry
To see a larger version of any rotating model, simply click on it. Each of these polyhedral images was created using a program called Stella 4d, which is available here.
Posted in Mathematics
Tagged chiral, geometry, icosahedral, icosidodecahedral, Mathematics, polyhedra, polyhedron, symmetry
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Sixteen Convex Polyhedra Featuring Icosidodecahedral Symmetry
To enlarge any single image, simply click on it. Of the five polyhedra above, all appear to feature decagons. Upon close inspection, though, one of them actually features icosagons — with half their sides very short. Can you spot this … Continue reading
Posted in Mathematics
Tagged geometry, icosahedral, icosidodecahedral, Mathematics, polyhedra, polyhedron, symmetry
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87 Rotating NonConvex, NonChiral Polyhedral Images Featuring Icosidodecahedral Symmetry, Plus Four Which Snuck In with Cuboctahedral Symmetry — Can You Find All the Intruders?
To see larger versions of any of these, simply click on the images. 24 to this point…. That’s 40 so far… Now the count is at four dozen. That was 26 more, so there are 48 + 26 = 74 … Continue reading
Posted in Mathematics
Tagged cuboctahedral, geometry, icosahedral, icosidodecahedral, Mathematics, octahdral, polyhedra, polyhedron, puzzle, symmetry
3 Comments