1 / 4
Small Square Tool 3cm x 4cm with silver ratio
Order a print of this model
We calculate the final price from your selected file. You review and accept it before payment.
Saved on this device.
Dimensions 30mm x 40mm x 5mm. Hole diameter is 5mm and beam width 10mm. The holes produce a silver ratio.
- Rating
- 5 / 5
- Likes
- 6
- Downloads
- 47
- Makes
- 1
- Views
- 188
- Reviews
- 1
Updated at source:
Model information
- Source
- Printables
- Category
- Math
- License
- Creative Commons — Attribution
I 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]