Re: [FRIAM] Fractals/Chaos/Manifolds

In one German dictionary I found /mannigfaltigkeit/ translates to /variousness/ which seems pretty obtuse but indicates it may have less to do with the original entymology of /manifold/ (https://en.wiktionary.org/wiki/manifold Entymology 1). Per Dean's pdf, perhaps it's a made up usage

Re: [FRIAM] Fractals/Chaos/Manifolds

Lee - Great bit of detective work there... "Mannigfaltigkeit" manig -> many faltig -> wrinkle or fold kelt -> having the utility of or "ness" many folded ness I'd like to hear more about your own intuitive conception of 3-manifolds... I have been a "mathematical thinker" in

Re: [FRIAM] Fractals/Chaos/Manifolds

The word, as a term of Mathematical English (which is of course quite a distinct dialect of English) is a calque of the Mathematical German word "Mannigfaltigkeit". Franklin Becher, in the first paragraph of the lead article in the October, 1896, issue of the American Mathematical Monthly,

Re: [FRIAM] Fractals/Chaos/Manifolds

FWIW, Penrose describes it: "a space that can be thought of as 'curved' in various ways, but where /locally/ (i.e. in a small enough neighbourhood of any of its points), it looks like a piece of ordinary Euclidean space." -- The Road to Reality On 03/01/2017 12:26 PM, Steven A Smith wrote: >

Re: [FRIAM] Fractals/Chaos/Manifolds

With respect to the word "manifold" somewhere around here: http://www.quantum-gravitation.de/media/3a2a81c0493b7f728061fff0.pdf --Dean Gerber On Wednesday, March 1, 2017 12:35 PM, Robert J. Cordingley wrote: OK, why are mathematical manifolds called

[FRIAM] Fractals/Chaos/Manifolds

OK, why are mathematical manifolds called that? It seems such a weird and out of place term. I've tried to find out without success. Robert C -- Cirrillian Web Design & Development Santa Fe, NM http://cirrillian.com 281-989-6272 (cell) Member Design Corps of Santa Fe