Comparing Volumes

A. Gardiner
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A. Gardiner: University of Birmingham, Department of Mathematics

Chapter Chapter III.4 in Infinite Processes, 1982, pp 204-231 from Springer

Abstract: Abstract In Chapter III.3 we discovered that comparing shapes in 2-dimensions was noticeably more complicated than comparing plain line segments. The proverbial optimist might of course declare that we should have expected 1-dimension to be rather special, and that, now we know (more or less) how to make the jump from 1- to 2-dimensions, we shall probably find that 3-, 4- and higher dimensions are really no more difficult than 2-dimensions. The pessimist, on the other hand, might point out that, since 2-dimensions gave rise to so many unexpected difficulties, we must surely expect 3-, 4- and higher dimensions to become steadily more complicated.

Keywords: Outer Approximation; Small Polygon; Unexpected Difficulty; General Pyramid; Rectangular Base (search for similar items in EconPapers)
Date: 1982
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DOI: 10.1007/978-1-4612-5654-0_19

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