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Monthly Archives: September 2018
A Compound of Three Trapezohedra
I came across this little beauty while exploring stellations of the triakis octahedron, which is the dual of the truncated cube. Its three components are each eightfaced trapezohedra, and it showed up as the sixth in that stellationseries. Stella 4d: … Continue reading
Posted in Mathematics
Tagged compound, geometry, Mathematics, polyhedra, polyhedron, trapezohedra, trapezohedron
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SpaceFilling Truncated Octahedra in a Rhombic Dodecahedral Cluster
The truncated octahedron is wellknown as the only Archimedean solid which can fill space, by itself, without leaving any gaps. The cluster below shows this, and has the overall shape of a rhombic dodecahedron. It’s easier to see the rhombic … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, rhombic dodecahedron, spacefilling, truncated octahedron
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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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Three Versions of a Compound of the Great and Small Stellated Dodecahedra
In the first version of this compound shown here, the great stellated dodecahedron is shown in yellow, while the small stellated dodecahedron is shown in red. In the next version, each face has its own color, except for those in … Continue reading
Posted in Mathematics
Tagged dodecahedra, dodecahedron, geometry, great, Mathematics, polyhedra, polyhedron, small, stellated
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A Faceted Version of the Truncated Cube
This is the truncated cube, which is one of the Archimedean solids. To make a faceted version of this solid, one must connect at least some of the vertices in different ways. Doing that creates new faces. This faceted version … Continue reading
Posted in Mathematics
Tagged faceted, faceting, geometry, Mathematics, polyhedra, polyhedron, truncated cube
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