The volume of such a sphere is 2 r d π d / 2 d Γ ( d / 2 ) {\displaystyle {\frac {2r^{d}\pi ^{d/2}}{d\;\Gamma (d/2)}}} , where Γ {\displaystyle \Gamma } is the gamma function, while the volume of the cube is ( 2 r ) d {\displaystyle (2r)^{d}} . As the dimension d {\displaystyle d} of the space increases, the hypersphere becomes an insignificant volume relative to that of the hypercube. This can clearly be seen by comparing the proportions as the dimension d {\displaystyle d} goes to infinity: