Rectified {4,3,6}
Rectified {4,3,6}
Ideal cubical cells make up the regular {4,3,6}. 6 cells meet at every edge, and an infinite number meet at every vertex, in the pattern of a triangular tiling.
https://en.wikipedia.org/wiki/Order-6_cubic_honeycomb
The rectified {4,3,6} has cuboctahedral and triangular tiling cells. All the cuboctahedra connect to each other through their square faces, and connect to triangular tilings through their triangle faces.
It's cool to compare this honeycomb with the rectified {3,4,4}. That also has cuboctahedral cells, but the connections switch. Cuboctahedra touch through triangle faces and connect to the Euclidean tiling cells via their square faces.
https://plus.google.com/112844794913554774416/posts/WC8uFvXpPEY
Last post on rectified honeycombs tomorrow!
Ideal cubical cells make up the regular {4,3,6}. 6 cells meet at every edge, and an infinite number meet at every vertex, in the pattern of a triangular tiling.
https://en.wikipedia.org/wiki/Order-6_cubic_honeycomb
The rectified {4,3,6} has cuboctahedral and triangular tiling cells. All the cuboctahedra connect to each other through their square faces, and connect to triangular tilings through their triangle faces.
It's cool to compare this honeycomb with the rectified {3,4,4}. That also has cuboctahedral cells, but the connections switch. Cuboctahedra touch through triangle faces and connect to the Euclidean tiling cells via their square faces.
https://plus.google.com/112844794913554774416/posts/WC8uFvXpPEY
Last post on rectified honeycombs tomorrow!
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