[vtkusers] Surface area of a hyper triangle

Biswajit paul biswajit07 at gmail.com
Tue Oct 9 12:26:46 EDT 2007


Hi

  I have a surface in d-dimesnional(d>3) space whose equation is given by
 sum_{i=1 to d } x_i =1. i.e scalar sum of all the co-ordinate values of
points
lying on that surface is one.

I am interested in knowing the surface area of such a surface in
d-dimesional(d>3)
 space.

Eg. in 3-D space,  it will be a 2-D surface, basically a triangle, joining
points
(0,0,1),(0,1,0) and (1,0,0) and the surface area of this triangle will be
1/2 x sqrt (3/4).

Regards
  Biswajit
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