The Euler characteristic for simply connected polyhedra isF + V = E + 2
where F = # faces, V = # vertices and E = # edges.
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There is no answer to the question as it appears. Faces + Vertices = Edges + 2 (The Euler characteristic of simply connected polyhedra).
No. Faces + Vertices = Edges + 2 (The Euler characteristic of simply connected polyhedra).
A very strange shape. The Euler characteristic for polyhedra requires that Vertices-Edges+Faces=2. That condition is not met here.
Nothing, in particular. According to the Euler characteristic, regular polyhedra satisfy the following: Face + Vertices = Edges + 2 This gives Face + Vertices + Edges = 2 + 2*Edges = 2*(1+Edges) which, since it has the variable "edges" on the RHS as well, is not particularly helpful nor informative.
Their relationship is modelled by the equation F + V = E + 2, where F is the number of faces, V is the number of vertices, and E is the number of edges.