Small Square Tool 3cm x 4cm with silver ratio
Dimensions 30mm x 40mm x 5mm. Hole diameter is 5mm and beam width 10mm.
The holes produce a silver ratio.
In the contest Education Tools
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updated October 22, 2024
Description
PDFI printed with PLA, 0.2mm height and 25% gyroid infill.
If you want more precise square you could do some precise sanding.
Holes B-D form silver ratio Θ*10mm=~24.14
A-B is Θ/2
The silver ratio is
Θ = 2.414213… = 1 + sqrt(2)
It derives from the Pell-Lucas numbers. A001333 - OEIS
1, 1, 3, 7, 17, 41, 99, 239, 577, 1393, 3363, 8119, …
Or from Pell numbers. https://oeis.org/A000129
0, 1, 2, 5, 12, 29, 70, 169, 408, 985, 2378, 5741, …
S[n]=2*S[n-1]+S[n-2]
Tags
Model origin
The author marked this model as their own original creation.
