I. Hypersphere: length(v) <= 1 II. Hypercube: abs(max(v)) <= 1 Clearly II implies I, therefore the hypersphere is inside the hypercube. The points where they

I. Hypersphere: length(v) <= 1 II. Hypercube: abs(max(v)) <= 1 Clearly II implies I, therefore the hypersphere is inside the hypercube. The points where they touch are: length(v) = abs(max(v)) = 1, the solutions of which are the points with exactly one ±1 coordinate.