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Tag Archives: great rhombicuboctahedron
Three Archimedean Solids Which Fill Space Together: The Great Rhombcuboctahedron, the Truncated Tetrahedron, and the Truncated Cube
To start building this spacefilling honeycomb of three Archimedean solids, I begin with a great rhombcuboctahedron. This polyhedron is also called the great rhombicuboctahedron, as well as the truncated cuboctahedron. Next, I augment the hexagonal faces with truncated tetrahedra. The … Continue reading
ZigZag: A Faceting of the Great Rhombcuboctahedron
I made this using Stella 4d: Polyhedron Navigator. You can try this program for free at http://www.software3d.com/Stella.php.
494 Circles, Each, Adorning Two Great Rhombcuboctahedra, with Different (Apparent) Levels of Anxiety
The design on each face of these great rhombcuboctahedra is made from 19 circles, and was created using both Geometer’s Sketchpad and MSPaint. I then used a third program, Stella 4d (available here), to project this image on each … Continue reading
Posted in Art, Mathematics, Mental Health
Tagged anxiety, Art, circle, geometric, geometrical art, geometry, great rhombcuboctahedron, great rhombicuboctahedron, mathematical, Mathematics, mental health, polyhedra, polyhedral, polyhedron, puzzle, recreational mathematics, therapeutic, therapy, truncated cuboctahedron, writing
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A NonConvex Variant of the Great Rhombcuboctahedron
I made this with Stella 4d, software you can try here.
Zonohedron Based On the Edges and Vertices of a Great Rhombcuboctahedron
This polyhedral monster has 578 faces of 26 types. In the image above, hexagons of any type are red, rhombi of any type (including squares) are yellow, and the blue faces are octagons. If each facetype is given a different … Continue reading
The Great Rhombcuboctahedron As a BuildingBlock
This solid, also known as the great rhombicuboctahedron, and the truncated icosidodecahedron, can be used to build many other things. In addition to the elongated ring of eight above, for example, there’s this octagonal prism. Remember the elongated ring at … Continue reading
A 182Faced Convex Hull, with an Explanation of that Term, As It Relates to Polyhedra
I made this polyhedron, using Stella 4d: Polyhedron Navigator, by taking the convex hull of a different polyhedron, one not shown here. To those who don’t already know, though, that just raises a question: what does it mean to “take … Continue reading