Quote:
Originally Posted by Duke461
... on wikipedia it says the Cycloid is for "the curve of fastest descent under gravity". Does this method still apply for upward descent?
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The cycloid curve solves the classic (~300 year old) brachistochrone problem. The important feature of a such a "curve of fastest descent" it that it converts all of the falling particle's energy from vertical to horizontal motion in the least time. Applying the same criterion in reverse, to convert a minibot's energy from horizontal to (upward) vertical motion, will yeild the same curve.
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I believe in intuition and inspiration. Imagination is more important than knowledge. For knowledge is limited, whereas imagination embraces the entire world, stimulating progress, giving birth to evolution. It is, strictly speaking, a real factor in scientific research.
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