Cartesian and Cylindrical Orthogonal (Right-hand) Coordinate System vectors

I had a problem which required me to transform some vectors from Cartesian to Cylindrical.  Of course I would just use my right hand and then twist my wrist around to match the vectors on my computer screen.  But all that twisting started to ache a little, so I thought, “Why not just print the coordinate systems and then simply position them?”

Thus these models were born.  (The irony is that by the time I was done printing, I was also done with my problem … for now)

I used FreeCAD to model them.  They can print with no support (although you might have to orient them correctly and there is a little overhang on the vector head.  I printed with tree-supports.

One of each system has labels, the other does not.

If you're real careful, you can use the Cartesian one as a landscape phone stand … an unstable one, but it does work for my 5.85-inch phone.