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/ >
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