[FRIAM] mathematicians computer graphic-ians — a little? help please

[Frank Wimberly]

As soon as the sides aren't squares it isn't a cube.  Maybe that's why they
use the word tesseract.

Frank

---
Frank C. Wimberly
140 Calle Ojo Feliz,
Santa Fe, NM 87505

505 670-9918
Santa Fe, NM

On Thu, Jun 4, 2020, 9:15 PM Prof David West <profwest at fastmail.fm> wrote:

> 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 <profwest at fastmail.fm> 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/
>
> - .... . -..-. . ...- --- .-.. ..- - .. --- -. -..-. .-- .. .-.. .-..
> -..-. -... . -..-. .-.. .. ...- . -..-. ... - .-. . .- -- . -..
> 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/
>
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://redfish.com/pipermail/friam_redfish.com/attachments/20200604/7e69c686/attachment.html>