My favorite thought experiment — maybe not quite thought — of this year has been to replace the grid in my mind with equilateral triangles. When I look at the world it is less flat, has greater topographic detail, and shifts the way in which I memorize space. Try it! It is super fun.
I find that if I catalog the world around me with triangles, I can walk the city streets, those I walk regularly, with my eyes closed, because what I see has greater fidelity to what I walk. And for whatever reason, I like to walk the city streets with my eyes closed, for as long as possible, just to see if I can.