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Logarithmic Spiral, Golden Triangle, Golden Gnomon, Spira Mirabilis

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Creation quality: 5.0/5 (1 vote)
Evaluation of members on the printability, utility, level of detail, etc.

  • 2.6k views
  • 10 likes
  • 78 downloads

License
3D design format
STL Folder details Close
  • LogaSpiral100mm.stl
  • LogaSpiral20mm.stl
  • LogaSpiral30mm.stl
  • LogaSpiral40mm.stl
  • LogaSpiral50mm.stl
  • LogaSpiral60mm.stl
  • LogaSpiral70mm.stl
  • LogaSpiral80mm.stl
  • LogaSpiral90mm.stl

Learn more about the formats

Publication date 2018-05-29 at 08:23
Design number 25922

3D printer file info

3D model description

Logarithmic Spiral, Golden Triangle, Golden Gnomon, Spira Mirabilis
A golden triangle is an isosceles triangle, where the longer sides and the short one has the golden ratio Ο•= (sqrt(5)+1)/2, and the three interior angles are 72Β°, 72Β°, and 36Β° , respectively. Starting from a golden triangle, one can construct inwards and/or outwards an infinite number of (similar) golden triangles, thus creating a logarithmic spiral. In the design, I have kept the triangles for children to ponder over the beautiful relationships among these geometric gems.

Severn sizes are available. The dimension refers to the length of the short side of the outmost triangle. The spirals are 8mm in width and 2mm in thickness. The smaller ones are a little thinner.

References
https://en.wikipedia.org/wiki/Golden_triangle_(mathematics)
Huntley, H.E. (1970). The Divine Proportion: A Study in Mathematical Beauty. New York, NY: Dover Publications.

3D printing settings

Rafts:

No

Supports:

No

Resolution:

.1 to .2mm

Infill:

5-20%

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