3D Fibonacci Golden Ratio Spiral

lionel_david · January 2

Hello Community, i'm new to Onshape, i'm a 3Dsmax user but it need accuracy and differents tools for my project so i will give a try to onshape. I love it so far.

My challenge has to do with the Maths, im asking Chatgpt but i still have difficulties to translate the answer to my project.

Here i an image of what i have done in 3Dsmax, but its not precise at all.
The Second image from the left with the Cubes its basically the fibonacci spiral in volume, from the top it looks like all the images we know when we google the Spiral.
So here is my drawing in Onshape, i use the Phi Equation as a variable for the best accuracy.

I did correct the equation using this one and not the Inverse PHI: phi = (1 + sqrt(5)) / 2
made a variable with for each next square the …^2…^3…^4…

Then i extruded some of the Square into cubes using the same Function.
But then I have to Move them up using this function, it worked until i moved the 2nd Cube, but the 3rd cube didnt align with the previou one.
The next step would have be to make a Spline between two point of the Cube, but here I dont know how. I think its a Logarithmic Curve.

So i explore another way, Chatgpt calculated me the angle of the cone where the spiral would fit onto. Its something like 58.2825 deg. But it doesnt seems to match the curvature the spline would follow in the cube.
This is based on the researches from Dan Winter on Sacred Geometry and he mention a Cone with a ratio of 60 deg. so it would fit what he is saying.

Anyway I tried then to use the Helix tool, and let GPT calculate the values, but again its unclear how to use the tool.
Maybe somebody has an idea?

Here is my inspiration: