> After reading the linked article, and the comments here I still have zero clue about the game

A video is worth a thousand words, and there's a video at the very beginning of the article. Did you watch the video?

You control a character on a grid and you have to push sausages around the grid in order to grill them (some of the floor tiles are grill tiles). That's the core game. But the sausages roll and you can't let a given side touch a grill more than once. And the grid is space constrained - you can accidentally push a sausage off the grid and it will fall into an abyss and you have to start over. The puzzles are very difficult because there is so much complexity that stacks:

- Your character can strafe and push things, but your character is also 2 tiles wide and can pivot and swing a fork (and the swing action can push things)

- sausages only roll along one axis, otherwise they slide

- sausages can be stacked into the 3rd dimension which means there's also gravity

- if a sausage falls on your character's head you can move it around and rotate it

- etc.