My curved basketball hoop always goes in

Summary by Krater

The creator uses Monte Carlo simulations and Python code to design a parabolic basketball backboard that guarantees any shot goes into the hoop. He then machines the backboard using a CNC mill, glues and seals it, and tests it out.

From the video

Answers: How do you design and build a basketball backboard that makes every shot go in?

• monte carlo simulation
• basketball backboard design
• parabolic reflector math
• cnc wood milling
• fusion 360 toolpaths

What it concludes

• A standard flat rectangular basketball backboard is suboptimal because balls only go in when hit within a certain region.
• The optimal shape for a basketball backboard to guarantee every shot goes in is parabolic.
• Accounting for the smaller size of a basketball relative to the hoop provides legal room in speed and angle for shots to still go in.
• A parabolic backboard ensures that shots from corners do not reliably redirect into the hoop due to trajectory constraints and rim interference.