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 Post subject: Triple Gear
PostPosted: Sun Dec 23, 2012 9:42 pm 
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Joined: Sat Oct 13, 2012 6:59 pm
Location: Stillwater, Oklahoma, USA
In this twisty non-puzzle, three gears mesh together in pairs, and yet they can turn!

If you take three ordinary gears and put them together so that each gear meshes with the other two, then none of the gears can turn because neighbouring gears must turn in opposite directions. Triple gear avoids this problem by having the three "gears" arranged like linked rings - the gears then rotate along skew axes, and the opposite direction rule no longer applies (although see also Oskar van Deventer's Magic Gears for another possible solution).

This is joint work with Saul Schleimer. We were inspired by another of Oskar's designs, his Knotted Gear, which consists of two linked rings that gear with each other, and of course we wondered if it would be possible to do three linked rings!

I've made Triple Gear in two sizes, both of which work well.

Large version:
Youtube video.
Shapeways shop.

Small version:
Youtube video.
Shapeways shop.

Attachment:
File comment: Large Triple Gear
triple_gear_hand_500.jpg
triple_gear_hand_500.jpg [ 34.04 KiB | Viewed 1607 times ]

Attachment:
File comment: Small Triple Gear
triple_gear_small_hand_500.jpg
triple_gear_small_hand_500.jpg [ 32.14 KiB | Viewed 1607 times ]


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 Post subject: Re: Triple Gear
PostPosted: Sun Dec 23, 2012 9:54 pm 
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Joined: Sun Oct 04, 2009 5:06 pm
Location: Ridgefield, Connecticut
Awesome, I saw this on featured on Gizmodo as well. I really love all the things that can be done with gears.

Ben


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 Post subject: Re: Triple Gear
PostPosted: Mon Dec 24, 2012 2:05 pm 
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Joined: Mon Mar 30, 2009 5:13 pm
Very cool!

At the very end of the video it looks like there is room for a fourth, conical gear in the axis of symmetry, which may also stabilize the overall assembly. This fourth gear could even have a handle to turn the other 3 gears. Would this work?

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If you want something you’ve never had, you’ve got to do something you’ve never done - Thomas Jefferson


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 Post subject: Re: Triple Gear
PostPosted: Mon Dec 24, 2012 2:23 pm 
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Joined: Mon Nov 30, 2009 1:03 pm
Impressive! I have just ordered one through Shapeways.

Oskar

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 Post subject: Re: Triple Gear
PostPosted: Mon Dec 24, 2012 5:36 pm 
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Joined: Sun Mar 15, 2009 12:00 am
Location: Jarrow, England
Oskar wrote:
Impressive! I have just ordered one through Shapeways
High praise indeed from the God of Gears.

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My Shapeways Shop: http://www.shapeways.com/shops/gus_shop

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 Post subject: Re: Triple Gear
PostPosted: Mon Dec 24, 2012 6:39 pm 
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Joined: Sat Oct 13, 2012 6:59 pm
Location: Stillwater, Oklahoma, USA
Thanks Oskar!

@KelvinS: We have wondered about powering the three gears using a central geared axis. We were thinking of a cylindrical rather than conical gear, but conical might be interesting. With a cylinder we potentially get rotation and translation motions, whereas for the cone we only get rotation. That might be enough for powering it though. The cone wouldn't let the gears slide down the central axis, whereas the cylinder would. It isn't clear to me which one would be best.

Yes, a central axis (either cylinder or cone) should stabilise things, pushing the three gears so that they are closer to rotationally symmetric about the 3-fold axis, which makes them run more smoothly. I just have to find the time to investigate!


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 Post subject: Re: Triple Gear
PostPosted: Mon Dec 24, 2012 9:25 pm 
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Joined: Sun Mar 02, 2008 11:33 am
Location: Hiram, Ohio
This is truly mind blowing!
I am not worthy!


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