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optical path = μ x geometricalpath
A side is basically a geometrical shape; an edge is where two sides meet.
Computer Graphics: Synthesize pictures from mathematical or geometrical models.Image Processing: analyze pictures to derive descriptions (often in mathematical or geometrical forms) of objects appeared in the pictures.
We cannot assess the efficiency of a geometrical shape unless we have a particular purpose in mind. You will have to state what you wish to efficiently do, by means of a geometrical figure.
A geometrical straight line is infinite but if it has defined end points then it is a line segment.