Re: Finding edges of a given polyhedra in 3D

I will be more specific (forgive me for that lack of some data).

Tha whole task is to compute the area of the planar polygon created by
the cross-sesction of the polyhedron.

The polyhedron is convex. I prepared a simple picture which depicts the
situation - it's here:
http://img131.imageshack.us/img131/5088/polyhedronao0.gif

I know coordinates of all the vertices of the convex polyhedron and I
can easily compute the coordinates of the points (blue and yellow)
where all the line-sections (created by the pairs of vertices of that
polyhedron - diagonals and edges) intercept that plane. Then I can
compute the cross-section area knowing the coords of the blue points.
The yellow points are redundant. So I have to know which line-section
is the diagonal and which is the edge of the polyhedra to choose right
points to compute the area of that polygon.

.

Relevant Pages

  • Re: Finding edges of a given polyhedra in 3D
    ... Tha whole task is to compute the area of the planar polygon created by ... the cross-sesction of the polyhedron. ... The polyhedron is convex. ... I know coordinates of all the vertices of the convex polyhedron and I ...
    (comp.theory)
  • Re: Volume of a polyhedron
    ... convex polyhedron. ... You need to know a point per face of the polyhedron. ... ordered lists of vertices per face? ... These formulas also work for non-convex polyhedra. ...
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