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What is Euler's geometry formula?
Faces + Vertices= Edges + 2 F+V=E+2 For a polyhedron, count up all the faces, vertices, and edges and substitute in formula. If both sides of the equation aren't equal, Euler's formula is not verified for the polyhedron.
How many vertices's does a convex polyhedron have if it has 14 faces and 24 edges?
Using Euler's Polyhedron formula V+F-E=2, givenF=14 and E=24, we have V=12.The polyhedron has 12 vertices.This assumes a genus-0 polyhedron. An example would be the hexagonal antiprism, a polyhedron having two hexagonal faces and 12 triangular faces.
What is the Euler characteristic?
The Euler characteristics was originally derived as a topographical constant related to the surfaces of polyhedra. According to it, the numbers of vertices (V), edges (E) and faces (F) of a polyhedron are related by the following formula: V - E + F = 2
Does a polyhedron have 10 faces 28 edges and 18 vertices?
No. The given numbers do not satisfy the Euler characteristic for a simply connected polyhedron.
What shape has 8 faces 3 edges and 7 vertices?
The numbers given do not satisfy the Euler characteristic for a polyhedron. There is, therefore, no such polyhedron.
