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 ...And thank goodness there are powerhouse teams out there... they set a great example and inspire the rest of us to greater heights. - dtengineering [more] |
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| ...And thank goodness there are powerhouse teams out there... they set a great example and inspire the rest of us to greater heights. - dtengineering [more] |
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#5
27-12-2001, 21:27
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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.
If we consider only in 2D as his second message asks, perhaps the edges would be a cosine curve (between -pi and pi) or a gaussian curve (bell curve) rotated 45, 135, 215, and 305 degrees respectively? This would allow for the edges to intersect at right angles at least. I don't know if it will maximize area though. Unfortunately, I don't have a clue how to find the length of a curve (and limit it to one) so I'm stuck. Any suggestions?  Just my two cents. Anthony.  
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