Do you know the name of this variant?

Does anyone know the name of the variant where squares marked with an x don’t exist on the board? I couldn’t find it anywhere 

No I don't know

That’s not it. The variant I’m talking about is a standard game and after every move a square gets an x and it won’t exist on the board. 

That’s the thing. I have no idea

I know what you are trying to do, there is a question for that in the Holiday puzzler!

Yep, it’s difficult this year

Probably you mean Cheshire Cat Chess