yes. I did see another that seemed to show the cube in the center not retaining its squares
On Thu, Jun 4, 2020, at 8:57 PM, Frank Wimberly wrote: > > Is this the hypercube video you saw? > > https://youtu.be/RqQvVts5Yj0 > --- > Frank C. Wimberly > 140 Calle Ojo Feliz, > Santa Fe, NM 87505 > > 505 670-9918 > Santa Fe, NM > > On Thu, Jun 4, 2020, 8:22 PM Prof David West <[email protected]> wrote: >> __ >> First, >> >> Just finished reading, _the crest of the peacock_ (ibid lowercase), by >> George Gheverghese Joseph. Subtitle is "non-European roots of mathematics." >> Wonderful book, highest recommendation and not just to mathematicians. >> >> My three biggest shames in life: losing my fluency in Japanese and Arabic; >> and excepting one course in knot theory at UW-Madison, stopping my math >> education at calculus in high school. I still love reading about math and >> mathematicians but wish I understood more. >> >> To the question/help request. Some roots of my problem: >> >> One) I am studying origami and specifically the way you can, in >> 2-dimensions, draw the pattern of folds that will yield a specific 3-D >> figure. And there are 'families' of 2-D patterns that an origami expert can >> look at and tell you if the eventual 3-D figure will have 2, 3, or 4 legs. >> How it is possible to 'see', in your mind, the 3-D in the 2-D? >> >> Two) a quick look at several animated hyper-cubes show the 'interior' cube >> remaining cubical as the hypercube is manipulated. Must this always be true, >> must the six facets of the 3-D cube remain perfect squares? What degrees of >> freedom are allowed the various vertices of the hyper-cube? >> >> Three) can find static hyper— for the five platonic solids, but not >> animations. Is it possible to provide something analogous to the hypercube >> animation for the other solids? I think this is a problem in manifolds as >> many of you have talked about. >> >> Question: If one had a series of very vivid, very convincing, visions of >> animated hyper-platonic solids with almost complete freedom of movement of >> the various vertices (doesn't really apply to hypersphere) — how would one >> go about finding visualizations that would assist in >> confirming/denying/making sense of the visions? >> >> Please forgive the crude way of expressing/asking my question. I am both >> math and computer graphic ignorant. >> >> davew >> - .... . -..-. . ...- --- .-.. ..- - .. --- -. -..-. .-- .. .-.. .-.. -..-. >> -... . -..-. .-.. .. ...- . -..-. ... - .-. . .- -- . -.. >> FRIAM Applied Complexity Group listserv >> Zoom Fridays 9:30a-12p Mtn GMT-6 bit.ly/virtualfriam >> un/subscribe http://redfish.com/mailman/listinfo/friam_redfish.com >> archives: http://friam.471366.n2.nabble.com/ >> FRIAM-COMIC http://friam-comic.blogspot.com/ > - .... . -..-. . ...- --- .-.. ..- - .. --- -. -..-. .-- .. .-.. .-.. -..-. > -... . -..-. .-.. .. ...- . -..-. ... - .-. . .- -- . -.. > FRIAM Applied Complexity Group listserv > Zoom Fridays 9:30a-12p Mtn GMT-6 bit.ly/virtualfriam > un/subscribe http://redfish.com/mailman/listinfo/friam_redfish.com > archives: http://friam.471366.n2.nabble.com/ > FRIAM-COMIC http://friam-comic.blogspot.com/ >
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