I have previously presented this...but nowhere near good enough, obviously...because it is surely crystal clear, once noticed, that something quite remarkable & hitherto unimaginable is at play here.
Please play this video, best set it to cycle...maybe watch for your amusement for a while, though I doubt you'll glean much other than a headache for the trying.
Leave it running to one side, this post to the other, now study the video whilst referring to the following text.
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The geometry at play is simple enough...
We have three spheres in a triangle but they are to turn within it...as shown these are grouped together, each touching along the sides of the triangle (black)
As they turn these three spheres extend outwards, into the triangle's three tips (grey).
The spheres are to travel/trace through a triangle here, not a circle.
The video... https://www.youtube.com/watch?v=etg2e8IF-Dw
Stop the video where two opposite shoes align across the 12 0'clock that you're looking down upon. Inside this hollow rests a sphere, likewise two other spheres around...three spheres grouped together.
IMPORTANT...the closer these discs are to each other the easier it is for you to see the action. In this video I've done just that. You'll hopefully be able to appreciate that any sphere of the geometry shown would have to be a severely squashed sphere in this example!! So please bear in mind, at all times for its important at all times, that these two discs are significantly wider apart than shown
The sphere in this hollow is sat in/on the four petals seen within it. These four petals are in contact with the sphere at four points around its diameter (remember, the discs are wider apart!)
Sat, such that the sphere is a whisker away from hitting the axle. All three spheres are in this position, all three also just a whisker away from touching each other.
The four petal edges act in pairs...top/left with bottom right, bottom left with top right.
Moving on from this start point, the B/L & T/R begin the spiral upwards, taking the sphere with them. The point is reached where both petal edges have spiraled fully up....where these two edges are at 12o'clock.
Here is the same position but wider, so this point would look more like this...
When in this position the sphere is being held at two points across its diameter...not atop as the video would suggest.
So, upon reaching this point, then the sphere is ready to roll into two aligned cup halves.
One last time to hammer it home as it's of prime consideration!...
These two cup halves are actually wider apart....wide enough apart that a sphere sat here will be in rather than on, in to the point where it is making contact with the two halves at two points across its diameter. I have a hunch that this device is so beautifully thought out that all three spheres are only touching the discs at two points across their diameter at all times throughout, bar our start point where it is held across two diameters/four points.
From here, petal sides TL & B/R then appear, ready to spiral it back down...to reach our start point.
If the discs are turned in reverse then B/L & T/R perform the spiraling down...T/L & B/R the spiraling up.
It may take a while but you'll see it all clearly enough, soon enough.
We therefore have two discs turning in opposite directions, thus two axles if affixed. As they do, so three spheres move in/out from the axle.
These spheres are static though, they are not themselves turning around the axle as they go...and they must.
Referring back to the simple geometry....this device is placed within a triangle, all be it with its tips rounded off. It will then drive itself around this triangle as suggested back there.
I'm not going to claim this a PM device, though I strongly suspect it may be...because this would clearly be a seventh machine to add to the six already known to Physics surely?
As for PM?...it has the required elements for sure. It's inventive and hitherto unimaginable, even though divinely simple.
The answer must include these three elements, si?
No desire to bore you further but two Bessler wheel engravings, designed appropriately & placed on an axle, will facilitate the same principle...not with spheres of course....but for another time maybe?
Gill
