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Tag Archives: great rhombicosidodecahedron
A Great Rhombicosidodecahedron Inspired By David Bowie, As Ziggy Stardust
I made this with Stella 4d, which you can try for yourself at this website.
Deliberately Difficult to Watch
I’ve never tried this before: create a rotating polyhedral image which is difficult to watch, using disorienting effects, such as the rotation of the images of spirals on the rotating faces. The spiral is made of golden gnomons (obtuse triangles with … Continue reading
Posted in Art, Mathematics
Tagged Art, difficult to watch, geometrical, geometry, Golden Ratio, Golden Spiral, great rhombicosidodecahedron, hard to watch, mathematical, Mathematics, polyhedra, polyhedron
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The Great Rhombicosidodecahedron, Built from Rhombic Triacontahedra, and Its Dual
The great rhombicosidodecahedron is also known as the truncated icosidodecahedron (and, confusingly, several other names). Regardless of what it’s called, these pictures demonstrate that this Archimedean solid can be constructed using rhombic triacontahedra as buildingblocks. First, here’s one in the same … Continue reading
The Final Stellation of the Great Rhombicosidodecahedron, Together with Its Dual
In the last post, several selections from the stellationseries of the great rhombicosidodecahedron (which some people call the truncated icosidodecahedron) were shown. It’s a long stellationseries — hundreds, or perhaps thousands, or even millions, of stellations long (I didn’t take … Continue reading
Another Faceting of the Great Rhombicosidodecahedron
This could also be called one of many possible faceted truncated icosidodecahedra. I made it using Stella 4d, which you can try and/or buy here. Faceting is the reciprocal operation of stellation, and involves connecting the vertices of a polyhedron … Continue reading
Posted in Mathematics
Tagged facet, faceted, faceting, geometry, great rhombicosidodecahedron, Mathematics, polyhedra, polyhedron, truncated icosidodecahedron
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A Rotating Great Rhombicosidodecahedron, with Spinning Mandalas On Its Faces
This polyhedron is also known as the truncated icosidodecahedron. However, I prefer the name which appears in the title of this post. I made the image which appears on each face with Geometer’s Sketchpad and MSPaint, and then used Stella … Continue reading
An Icosidodecahedral Cluster of Great Rhombicosidodecahedra
I made this, using Stella 4d, by augmenting the thirty square faces of a great rhombicosidodecahedron with additional great rhombicosidodecahedra. The result has one of these polyhedra located in each position which corresponds to a vertex of an icosidodecahedron. You … Continue reading