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 Post subject: Timur's Gear Halpern-Meier Tetrahedron
PostPosted: Wed Jul 18, 2012 2:49 am 
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Location: Germany, Siegerland
Hi!

Recently, I've posted a video series where I showed the whole designing process of Gear Halpern-Meier Tetrahedron. Finally, now it's built physically.

Essentially, this puzzle is very similar to Gear Pyraminx and is derived from it by moving the cutting surfaces towards the faces so that they do not intersect in one point, but outline an independent central face element, which is equivalent to central face triangle in Halpern-Meier Tetrahedron (or Jing's Pyraminx, whatever you call it). Displacement of the cutting surfaces enlarges the edge gears so their teeth number increases from 6 to 8. The corners, on the contrary, get reduced from 9 to 6 teeth. Number of teeth on the gear basement stays the same - 15.

Like in Gear Pyraminx, it's possible to turn all gears at a time keeping the same tetrahedral shape. But as opposed to Gear Pyraminx, here it's not possible to turn 3 corners in half-a-turn state, because this movement is blocked by deep interconnection of the edge gears.

Gear HMT design is much more stable than Gear Pyraminx in sense of skipping gears, because all teeth on the gear basement physically protrude up to their geometrical tips, so the Gear HMT does not have "weak teeth" like the Gear Pyraminx has in the face centers.

YouTube Video (with English subtitles)

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 Post subject: Re: Timur's Gear Halpern-Meier Tetrahedron
PostPosted: Wed Jul 18, 2012 6:15 am 
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Location: New York
The turning looks fantastic! Great work!

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 Post subject: Re: Timur's Gear Halpern-Meier Tetrahedron
PostPosted: Wed Jul 18, 2012 8:03 am 
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Location: Jarrow, England
Deceptively simple puzzle, beautiful. Was this 3D printed in WSF? If so, why does it not have the normal "scratchy" sound when turning?

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 Post subject: Re: Timur's Gear Halpern-Meier Tetrahedron
PostPosted: Wed Jul 18, 2012 12:31 pm 
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Joined: Mon Aug 02, 2004 7:03 am
Location: Koblenz, Germany
Amazing.
Can you post an image which shows the "turning on opposite edges"-move in midturn?
Edge length?
Weight?
How often do you have to turn one corner to restore the shape and the colors?

Andreas


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 Post subject: Re: Timur's Gear Halpern-Meier Tetrahedron
PostPosted: Thu Jul 19, 2012 4:31 pm 
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Location: Germany, Siegerland
Gus wrote:
Was this 3D printed in WSF? If so, why does it not have the normal "scratchy" sound when turning?
Yes, it's WSF. I polish each surface manually before assembling so that turning gets smooth.
Andreas Nortmann wrote:
Can you post an image which shows the "turning on opposite edges"-move in midturn?
Edge length? Weight? How often do you have to turn one corner to restore the shape and the colors?
The pictures are below. In midturn of that move all edges are turned by 90 degrees.
Edge length is 76mm, weight 32g. To fully restore the original position, you have to repeat one move 24 times, that is, the corner has to be turned around 28 times.

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 Post subject: Re: Timur's Gear Halpern-Meier Tetrahedron
PostPosted: Fri Jul 20, 2012 9:34 am 
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Joined: Mon Aug 02, 2004 7:03 am
Location: Koblenz, Germany
Timur wrote:
weight 32g.
A true lightweight.
Thank you for the images and the other answers.


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 Post subject: Re: Timur's Gear Halpern-Meier Tetrahedron
PostPosted: Fri Jul 20, 2012 10:23 am 
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Location: Singapore
Brilliant! Really like the concept of connection of the edges in mid-turn.

I'd like to ask two questions though: Does the "turning on opposite edges" work on the Gear Corner-Turning Octahedron too, as in your two tetrahedral gear puzzles? Also, any idea when we'll be seeing the Gear Corner-Turning Icosahedron? :lol:


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 Post subject: Re: Timur's Gear Halpern-Meier Tetrahedron
PostPosted: Tue Jul 24, 2012 5:12 am 
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DG781 wrote:
Does the "turning on opposite edges" work on the Gear Corner-Turning Octahedron too, as in your two tetrahedral gear puzzles?
Theoretically it should work, but I could not do it with only turning 2 edge elements - the friction is too high. To make such a move on GCTO, you have to spring between all edge pairs many times and turn each one a little bit - say, half a tooth.
DG781 wrote:
Also, any idea when we'll be seeing the Gear Corner-Turning Icosahedron? :lol:
I'm not planning this, but even so you'll see Gear Compy Cube first, just because it's simpler :)

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 Post subject: Re: Timur's Gear Halpern-Meier Tetrahedron
PostPosted: Mon Sep 17, 2012 12:34 pm 
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Joined: Sun May 29, 2011 2:56 pm
Location: New York
I made a very detailed review of this puzzle here. Enjoy!

-Doug

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 Post subject: Re: Timur's Gear Halpern-Meier Tetrahedron
PostPosted: Tue Sep 18, 2012 1:05 am 
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Joined: Mon Mar 22, 2010 7:00 am
Location: Germany, Siegerland
Nice review, thanks for sharing!

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Signed Vulcanos ($48), Pillow Pyraminxes ($22)
Come visit my Shapeways shop


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 Post subject: Re: Timur's Gear Halpern-Meier Tetrahedron
PostPosted: Tue Sep 18, 2012 7:23 pm 
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Timur wrote:
Nice review, thanks for sharing!

No problem! I noticed that besides your demo video, the designing process, and the TP topic, there was very little about this puzzle, so I thought I'd share a little.

-Doug

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 Post subject: Re: Timur's Gear Halpern-Meier Tetrahedron
PostPosted: Tue Sep 18, 2012 10:58 pm 
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amazing!

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 Post subject: Re: Timur's Gear Halpern-Meier Tetrahedron
PostPosted: Wed Sep 19, 2012 6:07 pm 
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gearamid?

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