Ask HN: RPG Inventory Sorting Algorithm?

Dear HN crowd.

I'm currently learning about algorithms, and I decided to think of a problem I encounter that I would like to solve. One such problem is when games (often RPGs) have a 'Tetris' style inventory system, with items of different shapes and sizes.

I have decided I would like to make a sorter for game I play, to help me quickly maximise my storage space.

However, after a preliminary google, I didn't find much in the way of resources for problems like this, so I assume my google-fu is weak.

Would anyone know of any examples, or preferably, underlying math/code to help me grasp this?

Thank you in advance!