Home » Community » It arrived! »

# Somsky Gears by BILL SOMSKY and OSKAR

Somsky Gears by BILL SOMSKY and OSKAR [message #59118] Sun, 23 December 2012 11:34 UTC
Hi Shapeways fans,

Bill Somsky invented an algorithm to design exactly fitting Looney Gears, which I would call Somsky Gears. The key understanding is to start with three gears on a diagonal inside the fourth, e.g. 37=7+13+17. Bill proved mathematically that this line of gears can flop around inside the larger circle while retaining an exact fit. Then repeat the process for another set, keeping the outer and central gear the same, e.g. 37=11+13+13. The final step is to overlap the two sets such that the middle gear of one set coincides with the middle gear of another set. This can be achieved only at discrete positions, namely Somsky Gear positions.

The explanation may be a bit hard to follow, so I hope that the video and illustrations help. The Somsky algorithm can help finding exact sets with four planetary gears. Bill even found a set with six planetary gears, which he expects to be very rare.

Watch the YouTube video.
Buy the gear set at my Shapeways Shop. I added the extra 13-gear.
Read more at the Non-Twisty Puzzles Forum.
Check out the photos and sketches below.

Enjoy!

Oskar

 Somsky Gears by BILL SOMSKY and OSKAR By: Oskar_van_Deventer on Sun, 23 December 2012 11:34 UTC
 Previous Topic: The Giver and Last Stand Next Topic: Candle holder with helix
 Goto Forum: - Shapeways  Official Announcements  Shapeways & Shapies in Your Region- Community  General Discussion  Interest Groups  Introductions  Work in progress  It arrived!  3D modeler needed  3D modelers for hire  Shapeways Shops  Feature this!   Customize  Instructions  Shapeways Crew  Students and Educators- Materials  Materials  Post Production Techniques- Support  3D Design  3D Applications  3D Printing  Buying  Bug Reporting  Suggestions & Feedback- Developers  Shapeways API  ShapeJS    Go