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Partition Numbers D12 3d printed

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White Processed Versatile Plastic
Partition Numbers D12 3d printed
Partition Numbers D12 3d printed

DIGITAL PREVIEW
Not a Photo

Partition Numbers D12

$7.55
3D printed in white nylon plastic polished to reveal a smooth matte finish.
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Product Description

12-sided dodecahedral die labeled {1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 56, 77} which are the number of ways to partition 1, 2, 3, 4, ... 12 identical objects.  This D12 can be used as an alternative to a doubling cube or Fibonacci-ing cube in backgammon and other games since the numbers do not grow too quickly.

Partition numbers are interesting because there is no simple closed formula for P(n), the number of ways to partion n objects.  P(n) grows faster than any power function c*n^k but slower than any exponential function c*k^n. 

 

See also the partition number sequence in OEIS, this AMS article on partions, and this Mathworld reference on partions.

Details
What's in the box:
Partition Numbers D12
Dimensions:
2.02 x 1.63 x 1.92 cm
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0.79 x 0.64 x 0.76 inches
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Rating:
Mature audiences only.
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