24-Cell

24-Cell 3d printed Art Mathematical Art
24-Cell 3d printed Art Mathematical Art
24-Cell 3d printed Art Mathematical Art
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24-Cell 3d printed Art Mathematical Art
24-Cell 3d printed Art Mathematical Art
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24-Cell 3d printed Art Mathematical Art Polished Nickel Steel
24-Cell 3d printed Art Mathematical Art Polished Nickel Steel
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24-Cell 3d printed Art Mathematical Art Polished Metallic Plastic
24-Cell 3d printed Art Mathematical Art Polished Metallic Plastic
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24-Cell 3d printed Art Mathematical Art Matte Black Steel
24-Cell 3d printed Art Mathematical Art Matte Black Steel
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24-Cell 3d printed Art Mathematical Art Polished Grey Steel
24-Cell 3d printed Art Mathematical Art Polished Grey Steel
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24-Cell 3d printed Art Mathematical Art Polished Silver
24-Cell 3d printed Art Mathematical Art Polished Silver
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24-Cell 3d printed Art Mathematical Art Stainless Steel
24-Cell 3d printed Art Mathematical Art Stainless Steel
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24-Cell 3d printed Art Mathematical Art Matte Gold Steel
24-Cell 3d printed Art Mathematical Art Matte Gold Steel
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24-Cell 3d printed Art Mathematical Art Frosted Detail
24-Cell 3d printed Art Mathematical Art Frosted Detail
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24-Cell 3d printed Art Mathematical Art Polished Gold Steel
24-Cell 3d printed Art Mathematical Art Polished Gold Steel
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24-Cell 3d printed Art Mathematical Art Yellow Strong & Flexible Polished
24-Cell 3d printed Art Mathematical Art Yellow Strong & Flexible Polished
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24-Cell 3d printed Art Mathematical Art Orange Strong & Flexible Polished
24-Cell 3d printed Art Mathematical Art Orange Strong & Flexible Polished
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24-Cell 3d printed Art Mathematical Art Raw Silver
24-Cell 3d printed Art Mathematical Art Raw Silver
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24-Cell 3d printed Art Mathematical Art Raw Bronze
24-Cell 3d printed Art Mathematical Art Raw Bronze
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24-Cell 3d printed Art Mathematical Art Polished Bronze Steel
24-Cell 3d printed Art Mathematical Art Polished Bronze Steel
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24-Cell 3d printed Art Mathematical Art Purple Strong & Flexible Polished
24-Cell 3d printed Art Mathematical Art Purple Strong & Flexible Polished
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24-Cell 3d printed Art Mathematical Art Polished Bronze
24-Cell 3d printed Art Mathematical Art Polished Bronze
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24-Cell 3d printed Art Mathematical Art Polished Brass
24-Cell 3d printed Art Mathematical Art Polished Brass
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24-Cell 3d printed Art Mathematical Art Black Strong & Flexible
24-Cell 3d printed Art Mathematical Art Black Strong & Flexible
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24-Cell 3d printed Art Mathematical Art Metallic Plastic
24-Cell 3d printed Art Mathematical Art Metallic Plastic
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24-Cell 3d printed Art Mathematical Art Red Strong & Flexible Polished
24-Cell 3d printed Art Mathematical Art Red Strong & Flexible Polished
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24-Cell 3d printed Art Mathematical Art White Strong & Flexible Polished
24-Cell 3d printed Art Mathematical Art White Strong & Flexible Polished
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24-Cell 3d printed Art Mathematical Art Raw Brass
24-Cell 3d printed Art Mathematical Art Raw Brass
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24-Cell 3d printed Art Mathematical Art Blue Strong & Flexible Polished
24-Cell 3d printed Art Mathematical Art Blue Strong & Flexible Polished
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24-Cell 3d printed Art Mathematical Art Pink Strong & Flexible Polished
24-Cell 3d printed Art Mathematical Art Pink Strong & Flexible Polished
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24-Cell 3d printed Art Mathematical Art Green Strong & Flexible Polished
24-Cell 3d printed Art Mathematical Art Green Strong & Flexible Polished
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24-Cell 3d printed Art Mathematical Art
24-Cell 3d printed Art Mathematical Art
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About this Product

There are six regular convex polytopes in 4D, which are analogous to the five Platonic solids in 3D. This one is the odd polytope out, the one without a 3D counterpart.

It has 24 octahedral cells, all shown in this Schlegel diagram. Like the pentachoron it's self-dual -- the only self-dual solid in any dimension > 2 that is not a simplex. And if that wasn't enough, it's also the only regular convex polytope in any dimension > 2 that tiles its space and is not a hypercube.

Dimensions

IN: 2.158 w x 2.16 d x 2.159 h
CM: 5.482 w x 5.486 d x 5.484 h
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I believe it is also the 4 dimensional 'vector equilibrium', the next step up from the hexagon and the cubeoctahedron. It is of course not obvious in its 3D projection but each of its 24 points are the same distance from their connected neighbors as they are from the center of the 4 dimensional shape and therefore all 96 triangles form tetrahedrons to the center point. In a higher dimensional geometry forum I saw it was voted the most popular higher dimensional form by a large majority!
September 19, 2013, 3:00 am
 
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    White nylon plastic with a matte finish and slight grainy feel.

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