this post was submitted on 21 Apr 2024
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Oh shit this just upgraded my CAD game
Is it possible to create a golden ratio rectangle in CAD using "ruler and compass" techniques, or is numerical approximation necessary?
I don't do CAD, but can it be done with "ruler and compass"?
Yes, as the golden ratio is (1+sqrt(5))/2 and sqrt(5) can be found in a right angled triangle with side length 1,2 and sqrt(5).
With some effort the root of any natural number can be constructed with ruler and compass by creating a spiral of right angled triangles.
The lengths you can construct are exactly the numbers which are composed of 1, addition, subtraction, multiplication, division, and square roots