Teenage me had a simple way to describe higher dimensions - you need to enter a higher one compared to current one to escape when completely surrounded. Are yo

Teenage me had a simple way to describe higher dimensions - you need to enter a higher one compared to current one to escape when completely surrounded. Are you on the line and blocked from both sides? Use rest of the 2D plane to escape. Using Z dimension to escape from circle. Using 4th to escape from sphere without touching it. Its true my imagination kind of stopped after 4D but even that was mesmerizing to young me.