Replying to Building the perfect mathematically speaking tramp

Hey NS, I'm currently doing an applied physics and maths project on trampolines with the main idea behind it being "how can you jump higher on a trampoline" (not including biology in this so all the muscle coordination to jump higher, which i know is the biggest factor, is completely left out).

So I was just wondering if anyone had done any research on this topic (like how does the tension of the mat affect the air you get or how the size and shape of a tramp modifies the tension and the height you get...etc)

The ultimate goal is to design the physics and mathematically speaking perfect trampoline for a given surface area and mass of user.

So i'm guessing only nsers could have done projects like this, and if so, it'd be awesome if you could give me some tips and help me out!

im also in contact with a few trampoline builders and companies so that should get me started too.

tl;dr: doing a maths and physics project "how to jump higher on a tramp" if you've done something similar or know someone who has, help would be super appreciated.