If I have a 50 dimensional hypercube. And I define it's boundary by $0<x\_j<0.05$ or $0.95<x\_j<1$ where $x\_j$ is dimension of the hypercube. Then calculating the proportion of points on the boundary of the hypercube will be $0.995$. What does it mean? Does it mean that rest of the space is empty? If $99\%$ of the points are at the boundary then the points inside the cube must not be uniformly distributed?