This book has been in my wishlist for-fscking-ever (https://en.wiktionary.org/wiki/tmesis#English - thanks Dave!):
New Foundations for Classical Mechanics https://bookshop.org/books/new-foundations-for-classical-mechanics-9789027725264/9789027725264 On 9/7/20 2:48 PM, Steve Smith wrote: > Tom - > > Great find! I'd never seen the "belt trick" animated like this... > > SimTable's progress finally has demanded widespread adoption of quaternions > for the "traditional" reason of gimbal lock but with other side-benefits here > and there. This has lead to a strong spate of most of the team trying to > "wrap their heads around" this abstraction which reminded me that MY head has > never fully wrapped itself into the implied Minkowski space, even if I feel > like I've "tumbled" through 4D and higher (ala conversations with Dave West > on such phantasms) in my VR and Lucid Dream experiences... I can't say I was > truly experiencing a complex vector space. > > Hise's ( the animator/illustrator in your link) other animations are also > helpful: > > Gimbal - https://www.youtube.com/watch?v=fRvuIuSkL6Y > > I don't believe the connection is anything more than superficial but I, like > many here have spent a lifetime fighting tangled power cords, hoses, bungees, > and ropes, and watching things tangle, and then untangle this way is pretty > familiar/inspirational! I was surprised to discover that the Dirac Belt > Trick is homomorphic to professor Caractacus Potts' plate prestidigitatoin. > > https://www.youtube.com/watch?v=Qc9h6FC6QgU > > (odd factiod, did anyone know that Chitty Chitty Bang Bang started life as an > Ian Fleming children's book with none other than Roald Dahl providing much of > the movie-versions set and object design?) > > ramble, > > - Steve > >> The 19th-century discovery of numbers called “quaternions” gave >> mathematicians a way to describe rotations in space, forever changing >> physics and math. >> >> https://www.quantamagazine.org/the-strange-numbers-that-birthed-modern-algebra-20180906/?fbclid=IwAR32bY8dnkg_hCYImiFlJgJL3g_r1CR9Eos4V_YEPcb7bvYJWlTe-8-83fY >> >> >> TJ -- ↙↙↙ uǝlƃ - .... . -..-. . -. -.. -..-. .. ... -..-. .... . .-. . 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/
