Define the polyhedra and euler formula, Mechanical Engineering

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Polyhedra and Euler's Formula

The b-rep of a polyhedra that are holomorphic to a sphere are topologically valid if they satisfy the following equations :

F - E + V - L = 2 (B - G)                  

where F, E, V, L, B and G are the number of faces, edges, vertices, face's inner loop, bodies, and genus (handles or through holes) respectively. If the solid is a simple one, the Euler holds good.

F - E + V = 2 

 


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