hypersphere-to-hypercube-volume-ratio-approaches-zero

OUT premise — summaries/2026/08/24/wiki-Curse_of_dimensionality.md

Created 2026-08-24T17:11:09+00:00

The volume of the inscribed hypersphere relative to a d-dimensional unit hypercube follows V_sphere/V_cube = π^(d/2) / (d · 2^(d−1) · Γ(d/2)) → 0 as d → ∞.