volume of a k-simplex...

[Han-Wen Nienhuys]

aupetit at dase.bruyeres.cea.fr writes:
> Hello,
> 
> I need to compute the volume of a k-simplex
> knowing the coordinates of its vertices.
> 
> How should I proceed?
> Any pointer?

Assuming you're posing this is in k-dimensional space, that would be

1/(k!) * det (x_0, ..  , x_k),

where x_j is the k+1 - vector consisting of the k coordinates of the
j-th point and a 1 as k+1st coordinate.

-- 
Han-Wen Nienhuys   |   hanwen at cs.uu.nl    | http://www.cs.uu.nl/~hanwen/


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