One for the mathematicians

Perfect sine wave?

Interesting and I have to say that this in the real world would only happen in a vacuum given that the air resistance against the differing pendulum arms would have some effect, hence reducing the speed of that arm through the prescribed arc.

The other thing that strikes me too is that one has to take into account the effects of any gravitational force existing within the proximity of the pendulum arms.

But cleverly thought out all the same.

Very interesting all the same Jed I never got to any higher education and it was not until I did my tertiary nursing qualifications did I realise I had wasted a great deal of my informative years.
I picked up a and read a book by Max Born called the Restless Universe out of pure curiosity and instantly became fascinated in physics and the natural world.

However I digress.

The gravitational forces I was really thinking of was the individual gravitational force being exerted as a singular natural phenomenon not as you may be thinking as an inter action between the pendulums.

Still I think your efforts were so cleverly done and thought out. I just wish I could do something as good as you did.

I also wonder what your thoughts on the effects of time on that motion as I recently watched a doco on the TV involving time it's concept and actual existence. In particular I found it although hard to understand - exciting that it could itself be reconfigured so in theory be possible for travel in that state to occur. But maybe I was either being duped or maybe just plain mad LOL!!

Well I have a scientific theory and it is the theory of
I like it.

Well done 3D Jed.

Excellent video works of art.
Going to watch all of them on the LG 55" 3D TV.

Yes Jed you did a real nice job mate I shouldn't have gone on so much as I did and if I caused you any offence please accept my apologies.

I just get carried away with stuff like that because I do like answers but perhaps I should just keep quiet as it does seem to upset some by implying that what you did was secondary to what I found an interesting subject.

By the way the video came through on my rig and laptop just fine:)

Isn't this the basic physics of a swinging pendulum. Eventually friction may affect the result but my understanding is that Grandfather clocks have a gear mechanism to keep adjusting their height of swing to overcome slight friction.
In this idealized environment the end result (no friction or air resistance) just looks sort of pretty but I guess still interesting when viewed from different angles. The period of oscillation is proportional to the square root of the pendulum length. The patterns depend on the lengths.

Deriving lateral patterns for a given string length sequence could drive the the nuts out of an undergrad physics or maths student in an exam. That would be cruel.