U=R*I Visualization Print

This print is a three-dimensional representation of the known formula U=R*I (tension = resistance * current). It shows the (anti-) proportional relation between resistance and current for different choices of tension (colored level curves) > In theory the formula may apply to any point on the surface, in practice, however, the magic happens on the line corresponding to the chosen tension (unless you fuck up or your battery depletes).

An online animated graph may be found here: https://www.desmos.com/3d/rquugfulcr

The graph is rendered in OpenSCAD with a height map created through a javascript executed in the browser's console (dirt cheap) copied into an editor and saved as text file. The exact process is described in the OpenSCAD file. As Editor I recommend Visual Studio Code (honestly best editor I ever had and highly recommendable!)

The colors are added as color changes in a slicer. The exact heights for given tensions/levels are printed out in OpenSCAD's console. A 3mf file is