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 Fiftystar: My 2018 Birthday Star
 A Variant of the Icosidodecahedron Featuring Four Hexagons
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 A Miscellany of Polyhedra with Icosidodecahedral Symmetry
 Slowly Rotating Hypercube
 Two Facetings of the Truncated Dodecahedron
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Tag Archives: icosidodecahedron
A Variant of the Icosidodecahedron Featuring Four Hexagons
This was made using Stella 4d, a program you can try for yourself at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged geometry, hexagon, icosidodecahedron, Mathematics, polyhedra, polyhedron
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Pluto and Charon, Adorning an Icosidodecahedron
Images obtained by NASA’s New Horizons space probe. Geometrical rendering done using Stella 4d, available at http://www.software3d.com/Stella.php.
Posted in Art, Mathematics, Science and Scientists
Tagged astronomy, Charon, geometry, icosidodecahedron, New Horizons, Pluto, polyhedra, polyhedron
1 Comment
Three Views of a Rotating Cluster of 33 Icosidodecahedra
To make these three rotating clusterpolyhedra, I started with one icosidodecahedron in the center, then augmented each of its 32 faces with overlapping, additional icosidodecahedra, for a total of 33 icosidodecahedra per cluster. In the first image, only two colors are … Continue reading
Posted in Mathematics
Tagged cluster, geometry, icosidodecahedra, icosidodecahedral, icosidodecahedron, Mathematics, polyhedra, polyhedral, polyhedron
2 Comments
On Polyhedral Augmentation and Excavation
I have made many posts here using polyhedral augmentation, but what I haven’t done — yet — is explain it. I have also neglected the reciprocal function of augmentation, which is called excavation. It is now time to fix both … Continue reading
Posted in Mathematics
Tagged augmentation, cluster, excavation, geometry, icosahedron, icosidodecahedron, Mathematics, polyhedra, polyhedral, polyhedron, reciprocal, solid
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Multiple Facetings of the Icosidodecahedron
To create a faceted icosidodecahedron, you simply start with an icosidodecahedron, then remove its edges and faces. Next, you connect the vertices differently, thus creating new faces and edges. As you can see below, this can be done in many … Continue reading
Posted in Mathematics
Tagged faceted, faceting, geometry, icosidodecahedron, Mathematics, polyhedra, polyhedron
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A Faceted Icosidodecahedron with 48 Faces
The 48 faces of this faceted icosidodecahedron are: 6 green regular decagons (difficult to see, because they pass through the figure’s center) 30 golden rectangles, shown in yellow, and each interpenetrating other faces 12 blue star pentagons Software called Stella 4d … Continue reading
Posted in Mathematics
Tagged faceted, faceting, geometry, Golden Rectangle, icosidodecahedron, Mathematics, polyhedra, polyhedron, star pentagon
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A Compound of Fifteen Cuboids — Which Is Also a Particular Faceting of the Icosidodecahedron
The creator of Stella 4d, the program I used to make these rotating polyhedral images, is Robert Webb (and the software itself may be tried for free here). Recently, on Facebook, he displayed a paper model of this compound of … Continue reading
Posted in Mathematics
Tagged 15, compound, cuboids, faceted, faceting, fifteen, geometry, icosidodecahedron, Mathematics, polyhedra, polyhedron
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