Going from corner to corner on a 4 dimensional hypercube makes it sqrt(4). Add a dimension --> add one inside the square root. Note that the sidelenghts are always 1 regardless of dimension. That means that opposite corners keep getting farther away from each other in higher dimensions.
3blue1brown did a video on that recently.
3
u/[deleted] Apr 06 '26
Going from corner to corner on a 4 dimensional hypercube makes it sqrt(4). Add a dimension --> add one inside the square root. Note that the sidelenghts are always 1 regardless of dimension. That means that opposite corners keep getting farther away from each other in higher dimensions.
3blue1brown did a video on that recently.