Although a sphere/circle will probably maximize volume/area, Mehtank's specification that the edges are orthogonal does not allow this since all edge intersections must be at right angles.
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I have no Idea what Anthony X. ment/said, but i think i know. (you all know what i mean!) But isn't that where the "curviness" and strech will over run the corners?? The corners won't be able to move due to the amount of force it will take to move it, thus the sides would explode before it happens. So... the sides would eather buldge, enclose its self, or just plain explode. Think about a soccer ball... (i know that is a pentagon, ok ok about 50 pentagons togther, but the basic fundamentals, i think, can form the basic idea i am trying to get togther!
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