On the Leech–Conway sphere packing in S(∞) space

We estimate the dimensionality of the mean sphere in infinite dimensional space using the so called Leech–Conway lattices. The numerical results improve previous calculations by El Naschie [Chaos, Solitons & Fractals 9 (8) (1998) 1445–1471] and confirms the essential four dimensionality of the expectation sphere.