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I want to create a spiral that looks like this:

Spiral

From green to purple is one "circle", but the green part is below the purple. This circle repeats below and so on

Actually it just a circle (pie chart) that is cut at a radius line and then "drawn down" so there results a spiral if you add multiple of these circles. Does someone have an idea how to achieve this kind of model?

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Create a simple mesh composed of only one edge progressing along the X or Y axis.

Add a Screw modifier to it, adjust properties as desired, mainly the Steps for smoothness, Screw for height, and Iterations for number of turns.

enter image description here

To assign different colors to your mesh you will have to apply the modifier though, then create multiple Material Slots, assign them to the desired faces, then create your colors as desired.

enter image description here

Final result

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