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Fair Dice (TESTED)

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P2S
H2D Pro
H2C
P1P
X1E
H2S
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A1
X1 Carbon
A1 mini
P1S
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X2D
A2L

0.15mm layer, 3 walls, 100% infill
0.15mm layer, 3 walls, 100% infill
Designer
26 min
1 plate
4.9(10)

Dual color
Dual color
Designer
3.4 h
1 plate
5.0(1)

Open in Bambu Studio
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Description

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This is a fair dice. NOT as fair as a casino dice, but 3x fairer (is that a word?) than the real store-bought dice I tested it against. Now to explain the math and testing. 

 

Dice have 6 sides. This means that in the perfect world, each side would get rolled 16.667% of the time. Casino dice, which are very accurate, are off by an average of 0.5% (standard deviation). Store-bought dice aim to be off by 1-3% standard deviation. My dice (when I tested it on the published profile) was off by 0.96%. Pretty cool, right? I'll explain my methods now.

 

The pips on a dice take out a little bit of material from the dice. A standard 16mm dice has 4096 mm^3 of material, and the pips on my dice take out 187 mm^3. That sounds like a lot, but it's only 4%. After that, the center of mass isn't quite in the center. Most are off by about an average of 0.05mm, which is what I measured mine at. The real dice I tested weighed about 6.1g, while mine weighed 4.8. That doesn't matter as much, dice range from 4-12g. 

 

Out of 656 rolls, the store bought dice rolled:

 

101 ones (15.4%)

 

120 twos (18.29%)

 

119 threes (18.14%)

 

73 fours (11.13%)

 

135 fives (20.58%)

 

108 sixes (16.46)

 

with an average standard deviation of 2.96 (population)

 

 

3D printed dice out of 757 rolls…

 

114 ones (15.06%)

 

124 twos (16.38%)

 

126 threes (16.64)

 

135 fours (17.83%)

 

127 fives (17.83%)

 

131 sixes (17.305%)

 

with a standard deviation of 0.86% population.

 

 

 

Here's pictures of all the versions, the green being the official and the others being before. The painted one is real. 

 

My favorite design this month: https://makerworld.com/en/models/2169865-funny-push-sign#profileId-2353302

 

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This user content is licensed under a Standard Digital File License.

You shall not share, sub-license, sell, rent, host, transfer, or distribute in any way the digital or 3D printed versions of this object, nor any other derivative work of this object in its digital or physical format (including - but not limited to - remixes of this object, and hosting on other digital platforms). The objects may not be used without permission in any way whatsoever in which you charge money, or collect fees.