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tri octahedra thumbnails
tree :: Geometry > Plane and Space 'Jitterbugs' > tri octahedra Image List
Description : Octahedra have their faces attached above the triangles of one orientation and below the triangles of the other orientation. The transformation of the triangle tiling transforms the octahedra in their layers. At the maximum expansion the empty space forms cuboctahedra, and these cuboctahedra close down to form a pair of tetrahedra at the minimum expansion.

The following animations show a 3x3x3 lattice of octahedra.
view animation with fixed plane (7Mb)
view animation with fixed triangle (7Mb)

 
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Image
jit_oct4.jpg  26KB JPEG image, 535 x 401 pixels
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Contact: adrian@antiprism.com      -      Generated on Sat 23 Oct 2010 12:33:01 PM CEST