Basketball is a sport of determination, constant practice, intensity, and talent. When played by masters it is a true pleasure to watch, but getting the ball through the hoop is far more complicated than it seems—unless we do things differently. That includes redesigning the backboard based on millions of simulations using the Monte Carlo method, and producing the optimal shape with a CNC platform. The result? A backboard that does everything it can to make sure you don't miss.
Engineering the Perfect Backboard
The world's leading basketball leagues have ground to a halt due to the COVID-19 pandemic, but casual play is also affected by quarantine. Many cities removed all public hoops to reinforce social distancing. That doesn't stop someone from practicing at home, but Shane Wighton from the channel Stuff Made Here decided to follow a different route: optimizing his game with algorithms and redesigning the backboard.
In other words, Shane changed the shape of the backboard so that every shot goes in without problems. The video explains in some detail how the ball's trajectory develops and how it responds to each impact on the board, which zones in a way "guarantee" the point, and which need to be modified. To do this, he ran millions of simulations using the Monte Carlo method, each instance optimizing the previous one.
https://old.neoteo.com/como-se-hacen-los-videos-falsos-de-tiros-imposibles/The final shape is a kind of satellite dish, which he built in wood using CNC. However, Shane soon discovered an error in his design: instead of making every shot, he was missing them. The problem was that he forgot to take into account the radius of the ball, meaning all his calculations were off by a little over six centimeters. The solution was to move the hoop forward the same distance, but in the future he plans to build a new version with the correct values. In short, with a good dose of math, millions of simulations, a CNC system, and a little wood, the basketball hoop will stop being a nightmare. Now, playing on the court... is another story.
Source: Hackaday