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:
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
============================================
Tom Johnson - [hidden email]
Institute for Analytic Journalism -- Santa Fe, NM USA
505.577.6482(c) 505.473.9646(h)
NM Foundation for Open Government
Check out It's The People's Data============================================
- .... . -..-. . -. -.. -..-. .. ... -..-. .... . .-. . 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/
| Free forum by Nabble | Edit this page |