D17 Sphere Dice

D17 Sphere Dice 3d printed Mathematical Art Dice In Stainless Steel (numbers manually inked) - picture courtesy of Justin M.
In Stainless Steel (numbers manually inked) - picture courtesy of Justin M.
D17 Sphere Dice 3d printed Mathematical Art Dice In Stainless Steel (numbers manually inked) - picture courtesy of Justin M.
D17 Sphere Dice 3d printed Mathematical Art Dice In Stainless Steel (numbers manually inked) - picture courtesy of Justin M.
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D17 Sphere Dice 3d printed Mathematical Art Dice CG Rendering with the underlying polyhedron (17 sides)
D17 Sphere Dice 3d printed Mathematical Art Dice CG Rendering with the underlying polyhedron (17 sides)
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D17 Sphere Dice 3d printed Mathematical Art Dice In Alumide
D17 Sphere Dice 3d printed Mathematical Art Dice In Alumide
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D17 Sphere Dice 3d printed Mathematical Art Dice Red Strong & Flexible Polished
D17 Sphere Dice 3d printed Mathematical Art Dice Red Strong & Flexible Polished
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D17 Sphere Dice 3d printed Mathematical Art Dice Pink Strong & Flexible Polished
D17 Sphere Dice 3d printed Mathematical Art Dice Pink Strong & Flexible Polished
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D17 Sphere Dice 3d printed Mathematical Art Dice Yellow Strong & Flexible Polished
D17 Sphere Dice 3d printed Mathematical Art Dice Yellow Strong & Flexible Polished
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D17 Sphere Dice 3d printed Mathematical Art Dice White Detail
D17 Sphere Dice 3d printed Mathematical Art Dice White Detail
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D17 Sphere Dice 3d printed Mathematical Art Dice Frosted Ultra Detail
D17 Sphere Dice 3d printed Mathematical Art Dice Frosted Ultra Detail
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D17 Sphere Dice 3d printed Mathematical Art Dice Transparent Detail
D17 Sphere Dice 3d printed Mathematical Art Dice Transparent Detail
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D17 Sphere Dice 3d printed Mathematical Art Dice Black Strong & Flexible
D17 Sphere Dice 3d printed Mathematical Art Dice Black Strong & Flexible
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D17 Sphere Dice 3d printed Mathematical Art Dice Stainless Steel
D17 Sphere Dice 3d printed Mathematical Art Dice Stainless Steel
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D17 Sphere Dice 3d printed Mathematical Art Dice White Strong & Flexible Polished
D17 Sphere Dice 3d printed Mathematical Art Dice White Strong & Flexible Polished
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D17 Sphere Dice 3d printed Mathematical Art Dice Matte Bronze Steel
D17 Sphere Dice 3d printed Mathematical Art Dice Matte Bronze Steel
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D17 Sphere Dice 3d printed Mathematical Art Dice Purple Strong & Flexible Polished
D17 Sphere Dice 3d printed Mathematical Art Dice Purple Strong & Flexible Polished
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D17 Sphere Dice 3d printed Mathematical Art Dice Black Detail
D17 Sphere Dice 3d printed Mathematical Art Dice Black Detail
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D17 Sphere Dice 3d printed Mathematical Art Dice Orange Strong & Flexible Polished
D17 Sphere Dice 3d printed Mathematical Art Dice Orange Strong & Flexible Polished
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D17 Sphere Dice 3d printed Mathematical Art Dice White Strong & Flexible
D17 Sphere Dice 3d printed Mathematical Art Dice White Strong & Flexible
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D17 Sphere Dice 3d printed Mathematical Art Dice Blue Strong & Flexible Polished
D17 Sphere Dice 3d printed Mathematical Art Dice Blue Strong & Flexible Polished
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D17 Sphere Dice 3d printed Mathematical Art Dice Green Strong & Flexible Polished
D17 Sphere Dice 3d printed Mathematical Art Dice Green Strong & Flexible Polished
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D17 Sphere Dice 3d printed Mathematical Art Dice
D17 Sphere Dice 3d printed Mathematical Art Dice
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About this Product

Truncated Sphere D17 with a 5-fold symmetry

This die is inspired by the repulsion force polyhedra. In fact, the underlying polyhedron (not rounded) is very similar to the shape that can be obtained through this technique with 17 points repulsing each others.

Actually, I calculated the positions of 17 points to have a maximal radius for the circles resulting from the intersection of this underlying polyhedron with a sphere with the following constraints:
- 1 point per pole (upper and lower face - parallel to the horizontal plane)
- 5 points around each pole
- 5 remaining points corresponding to 5 faces perpendicular to the horizontal plane

The result is a truncated sphere with 17 circular faces of same radius.

For the numbering, as usual:
 - the sum of the 5 numbers of the two tropics and of the equator is constant (and equals to 51)
 - the sum of the 2 poles, of two numbers of the tropics that are symmetric relatively to the equator, of two numbers of the equator that are symmetric relatively to number 9 is constant (and equals to 18)

See this thread for more informations.

Available Truncated Sphere Dice: D4, D6, D8, D9, D10, D%, D11, D12, D14, D15, D16, D17, D18, D20, D24, D32, D33
Alternative shapes: alt D8, 3-fold D10 (rounded), 3-fold D10 (pointed), 4-fold D10, 5-folded D10 (pointed)
Coming soon: D22, D50
Related dice: Concave D4, Concave D6, D4 Shell, D8 Shell.

Dimensions

IN: 0.861 w x 0.829 d x 0.787 h
CM: 2.188 w x 2.106 d x 2 h
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http://www.dicecollector.com/MINT26_SHAPEWAYS_MAGIC_D17_01.jpg
April 26, 2011, 3:26 pm
 
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