It is not quite accurate to say (as the video does) that there is only one 8-planet configuration: my conjecture is rather that all others are related to this one via rescaling and concentric increment. I have several times sat down to try to write all this stuff up, but somehow seem to finish up concluding that I don't quite understand it sufficiently ... Fred Lunnon On 10/19/15, M. Oskar van Deventer <m.o.vandeventer@planet.nl> wrote:
Hi Mathfun friends,
See here a 3D-printed version of the Seven-Planet Somsky Gears. https://www.youtube.com/watch?v=3iyO-OvIS_k https://www.shapeways.com/product/SPGDQSRLE/seven-planet-somsky-gears
Someone at the Twisty Puzzles Forum asked the question "Is there a link to the arguments for the maximum number of planets?" http://twistypuzzles.com/forum/viewtopic.php?p=342755#p342755
Enjoy!
Oskar
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