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LOG#069. CP(n), spheres, 1836.

[latexpage] Data: \[ V(CP^n)=\dfrac{\pi^n}{n!}\] \[ V(S^{d-1})=\dfrac{2\pi^{d/2}}{\Gamma (d/2)}\] where we take the radius of the sphere equal to 1 without loss of generality. Thus, $ 6\pi^5$ is 6!…