RE: [Vo]:Gears in 4-Dimensions?

[Jones Beene]

This interlocking tripartite state, seen in the Vid is also reminiscent in a 
broader sense of the Borromean ring topology. Good write-up on Wiki:
https://en.wikipedia.org/wiki/Borromean_rings

The flexible gear set is really a dynamical Borromean ring, no? That dynamical 
state can be considered 4D is time is a dimension…. as for another spatial 
dimension (not time) the last part of the Wiki piece talks about the 
quantum-mechanical analog of Borromean rings- called an Efimov state… As for 
why QM can be described as both 4D and 1D merged together - that is fodder for 
another thread.

From: Bob Higgins 

This is a nice video and definitely worth watching.  

You asked about interlocking gears in 4D.  One of the gear mechanisms that 
operates in 2D that seems to use time as well is the Geneva mechanism.  It may 
be possible that the Geneva mechanism could be expanded to 3 coupled "gears" 
while existing in 2D because it uses time.

H LV wrote:

This video shows how three interlocking gears in 2-D cannot turn each other, 
but three interlocking gears in 3-D can. Some of the commentators wondered if 
interlocking gears could work in  4-D? I did a quick google search and could 
not find anything on the concept of gears in 4-D. It would be interesting to 
know if the question has been explored mathematically.

https://www.youtube.com/watch?v=5Mf0JpTI_gg

Harry

Re: [Vo]:Gears in 4-Dimensions?

[Bob Higgins]

This is a nice video and definitely worth watching.

You asked about interlocking gears in 4D.  One of the gear mechanisms that
operates in 2D that seems to use time as well is the Geneva mechanism.  It
may be possible that the Geneva mechanism could be expanded to 3 coupled
"gears" while existing in 2D because it uses time.

On Fri, Jun 10, 2016 at 9:27 PM, H LV  wrote:

> This video shows how three interlocking gears in 2-D cannot turn each
> other, but three interlocking gears in 3-D can. Some of the commentators
> wondered if interlocking gears could work in  4-D? I did a quick google
> search and could not find anything on the concept of gears in 4-D. It would
> be interesting to know if the question has been explored mathematically.
>
> https://www.youtube.com/watch?v=5Mf0JpTI_gg
>
> Harry
>

[Vo]:Gears in 4-Dimensions?

[H LV]

This video shows how three interlocking gears in 2-D cannot turn each
other, but three interlocking gears in 3-D can. Some of the commentators
wondered if interlocking gears could work in  4-D? I did a quick google
search and could not find anything on the concept of gears in 4-D. It would
be interesting to know if the question has been explored mathematically.

https://www.youtube.com/watch?v=5Mf0JpTI_gg

Harry