Runs under Opera as well. The solver doesn't seem able to cope with diametrically opposite pairs of equal planets --- eg. a subset of Somsky's 8-planet set d,a,b,c = 53,27,13,3 Also the error message has lost a right parenthesis: (it must be at most 12 WFL On 7/26/15, Tom Rokicki <rokicki@gmail.com> wrote:
(blush).
You'll notice that the vector sum of the three Somsky gears (the sun and a pair of planets) always sum to zero. This is clear on the Somsky proof (from the central parallelogram).
There are certain input values for which the offset is rational; I believe these correlate with pythagorean triples. This also correlates with the existence of solutions with more than one pair of planets. There are some avenues of exploration open here.
On Sun, Jul 26, 2015 at 1:01 PM, Mike Beeler <mikebeeler@verizon.net> wrote:
Wonderful, thank you! Not since Bill Gosper’s animation of Steiner’s porism on the PDP-6 have I enjoyed circles in motion so much! The good old days are not gone, just transmuted — and now they have teeth! :-)
— Mike Beeler
On Jul 26, 2015, at 2:11 PM, Tom Rokicki <rokicki@gmail.com> wrote:
This page lets you play with meshing Somsky gears.
http://tomas.rokicki.com/somsky.html
I've tested it on Chrome and Safari; if someone lets me know if it works on firefox or IE, I'd appreciate it.
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