Yesterday, I wrote this math equation for precisely (I think) calculating the length of a string of lights wrapped around a christmas tree – assuming the tree is shaped like a perfect cone and that the lights are as tighly and evenly wrapped around the cone as possible.
Excuse the Swedish! The variables are described as followed:
- H: the tree's height
- r: the tree's radius
- v: the amount of revolutions
This is hardly a feat in the math world, and my equations are probably quite bloated, but I'm still quite happy with it, alright? :)
You can play around with it here on Desmos if you'd like!