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Scrapbook - Zonohedra 16 images
tree :: Geometry > Scrapbook - Zonohedra
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    Zonohedra can be generated by taking a set of vectors (a star), calculating the displacements produced by all possible combinations of these vectors, and then calculating the convex hull of these displacements.

Polar zonohedra are produced from the star of the slanting edges of a right regular pyramid. Symmetric zonohedra can be produced by vectors taken from the edges and vertices of uniform polyhedra.

 
Image List

   
Icosahedron all  Med    Lrg  
Description : Star is centre-to-vertex and edge vectors of an icosahedron
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Icosahedron edges  Med    Lrg  
Description : Star is edge vectors of an icosahedron
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Icosahedron vertices  Med    Lrg  
Description : Star is centre-to-vertex vectors of an icosahedron
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Polyhedron vertices  Med    Lrg  
Description : Star is centre-to-vertex vectors of a polyhedron
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Polyhedron vertices  Med    Lrg  
Description : Star is centre-to-vertex vectors of a polyhedron
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Cube vertices  Med    Lrg  
Description : Rhombic dodecahedron. Star is centre-to-vertex vectors of a cube
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Cuboctahedron vertices  Med    Lrg  
Description : Truncated octahedron. Star is centre-to-vertex vectors of a cuboctahedron
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Icosahedron vertices  Med    Lrg  
Description : Rhombic triacontahedron. Star is centre-to-vertex vectors of an icosahedron
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Polar Zonohedron 6  Med    Lrg  
Description : Polar zonohedron produced from a star of 6 vectors.
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Polar Zonohedron 7  Med    Lrg  
Description : Polar zonohedron produced from a star of 7 vectors.
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Polar Zonohedron 10  Med    Lrg  
Description : Polar zonohedron produced from a star of 10 vectors and with each face a different colour
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Polar Zonohedron 20  Med    Lrg  
Description : Polar zonohedron produced from a star of 20 vectors and with a proper colouring of the faces
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Polar Zonohedron 100  Med    Lrg  
Description : Polar zonohedron produced from a star of 100 vectors.
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Polar Zonohedron 100  Med    Lrg  
Description : Polar zonohedron produced from a star of 100 vectors.
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Polar Zonohedron 50  Med    Lrg  
Description : Polar zonohedron produced from a star of 50 vectors and with a proper colouring of the faces
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Polar Zonohedron 50  Med    Lrg  
Description : Polar zonohedron produced from a star of 50 vectors and with a proper colouring of the faces
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Contact: adrian@antiprism.com      -      Generated on Sat 23 Oct 2010 12:33:01 PM CEST