Hello,

For a project i am working on, i need to compute the intersection of 
tetrahedra from 2 tetrahedral meshes, and compute the volume.
For that purpose, i create a list of Polyhedron from each mesh, and i 
compute the pairwise intersection of elements from these lists before i 
compute the volume, using the interesection(other) and the volume() methods.
On some pairs, it creates a ZeroDivisionError with the following message : 
input matrix must be nonsingular.
For instance, 
p = Polyhedron([(0.01, 0.0011111, 0.0011111),(0.01, 0.0011111, 0.0),(0.01, 
0.0, 0.0),(0.0011111, 0.01, 0.0011111),(0.0011111, 0.01, 0.0),(0.0, 0.01, 
0.0)], base_ring=RDF)
p.volume()
would create this error.

It seems that the intersection() method creates polyhedra with incorrect 
properties somehow.
Is there a way to avoid this behavior?

I run sage 7.0 on a Windows 10 computer.

Thank you,

Benoit Legouis

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