Talk:Octaexon/@comment-37320656-20181027162235

This is wrong. The surcell volume should say 35√(2)l³/6, not 35√(3)l³/6

The n-dimensional volume of an m-dimensional simplex is equal to l^m(n+1)!/m!²/(n-m)!/√(m+1)/2^(m/2).

n=7, m=3

l^m(n+1)!/m!²/(n-m)!/√(m+1)/2^(m/2)

l³(7+1)!/3!²/(7-3)!/√(3+1)/2^(3/2)

l³8!/6²/4!/√(4)/2/√(2)

l³40320/36/24/2/2/√(2)

40320l³/3456/√(2)

35l³/3/√(2)

35l³/3*√(2)/2

35√(2)l³/6

I’d do something myself, but I can’t edit pages.