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Plane and Space 'Jitterbugs' 11 images
tree :: Geometry > Plane and Space 'Jitterbugs'
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   Planar 'jitterbugs' can be derived from a square tiling and a triangle tiling of the plane. The tiles are oriented alternately, and connected by vertices to their neighbours, with the choice of vertex depending on orientation.

At maximum expansion the triangle transformation requires four times the area of the base tiling, and the square transformation requires double the area of the base tiling.

These tiles may also represent faces or sections of a polyhedron, and the transformation can then control a transformation of vertex bonded polyhedra in space. The ratio of the space required at the maximum and minimum expansion is the same as for the corresponding plane tiling

 
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triangles
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tri octahedra
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tri octahedra
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tri rhomb dodec
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lattice jbug
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tri torus
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kaleidocycle
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squares
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squ cubes
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squ rhomb dodec
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squ torus
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Contact: adrian@antiprism.com      -      Generated on Sat 23 Oct 2010 12:33:01 PM CEST