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Tag Archives: icosidodecahedron
Cluster of 33 Icosidodecahedra
There’s one icosidodecahedron at the center of this cluster, with more icosidodecahedra attached to each of the central figure’s 32 faces. In the first version, the coloring is simply based as the number of sides for each face. In the … Continue reading
Posted in Mathematics
Tagged cluster, geometry, icosidodecahedra, icosidodecahedron, Mathematics, polyhedra, polyhedron
2 Comments
Three Facetings of the Icosidodecahedron
I made these using Stella 4d, which you can try for free here.
Posted in Mathematics
Tagged faceted, feceting, geometry, icosidodecahedron, Mathematics, polyhedra, polyhedron
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Using Rhombic Triacontahedra to Build an Icosidodecahedron
These two polyhedra are the icosidodecahedron (left), and its dual, the rhombic triacontahedron (right). One nice thing about these two polyhedra is that one of them, the rhombic triacontahedron, can be used repeatedly, as a buildingblock, to build the other … Continue reading
Posted in Mathematics
Tagged geometry, icosidodecahedron, Mathematics, polyhedra, polyhedron, rhombic triacontahedra, rhombic triacontahedron
1 Comment
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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