Sunday, January 05, 2025
FPath: The Pantograph
My first physical step down the Feynman Path is a pantograph.
“What”, you say, “something that stopped being hi-tech in the 1700’s is somehow relevant on a path to Nanotechnology”. Well, no and yes. No, the pantograph is not really an optimal solution – I think flexures such as are being developed for the RepRapMicron are the more promising avenue… and... Yes. I do think machinery at the micro and nano levels will resemble massively parallelized versions of older solutions - maybe not the 1700’s but certainly the 1800’s. I will have more to say on this complexity vs simplicity issue in future blog posts.
Back to the point. My primary interest at the moment is how errors might be removed as big devices build smaller devices. The pantograph is a simple thing built out of LEGO bricks and has a reduction ratio of slightly over 5:1. The goal is to create a really nice, visible circle using closed loop feedback to iron out the errors as extremely inaccurate large scale actuators move the tool head about. The tool head has a barrel and lead scavenged from a mechanical pencil mounted on it to record the path.
The image above shows the pantograph. The macro end is on the left (red arrow) and the toolhead is in the center at the micro end (green arrow).
Closed loop control was used to drive the macro and micro ends around a circular path. The image on the left shows a typical path taken by the toolhead when the control was applied to the macro end (it is also supposed to be a circle). This forms kind of a baseline case representing the inherent accuracy of the hardware. The image on the right shows the path taken when the control was applied to the micro end of the pantograph.
It is
fairly clear from the image on the right that the errors attributable to the pantograph
mechanism have been greatly reduced by applying closed loop control to the
toolhead. Please see the webpage (FPath_Ex006) and short (8 min) video for more a more complete discussion.
Interestingly, both Heinlein and Feynman proposed using pantographs to have large machines make smaller machines. One reason I decided to use a pantograph as my “first device” is to acknowledge their ideas – a kind of homage if you will.
Labels: Feynman Path, FPath, Nanotechnology, Pantograph, Stigmergic Path Following
I briefly considered setting up an experiment like that on something like an old Roland DXY-1100 plotter (which I have in my attic) but ultimately decided to put some time into other areas (millimeter scale actuators are now the interest du-jour).
It would be interesting to re-visit the pantograph idea at some future date - if only to make sure the pantograph vs flexure space is more fully explored.
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