GEOMETRY VS TOPOLOGY
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x = V - E + FEuler characteristic = Vertices - Edges + Faces.Draw triangle on a sheet of paper. It has 3 vertices, 3 edges and 1 face.Hence theEuler char. = 3 -3 + 1 = 1For a squareEuler char. = 4 - 4 + 1 = 1For a circle, imagine two points or ver
