A six-atom molecule

The problem is the following:

Given the lengths between the atoms and the angles between two consecutive links, find the global geometry of the molecule

We know that

the problem can be modeled with 3 parameters as
there are at most 16 isolated solutions for this problem.

The methods we have tested :

Sparse resultants
Bézout/Dixon's resultants
Iterated Sylvester's resultant
Grobner bases computations

To know more about these methods, see here.

Before starting the demo.

Start the demo

Bernard Mourrain, INRIA, SAGA, mourrain@sophia.inria.fr