View unanswered posts | View active topics
|
Page 1 of 1
|
[ 12 posts ] |
|
| Author |
Message |
|
Bram
|
Post subject: Trigears Posted: Sun Nov 30, 2008 1:33 pm |
|
Joined: Sat Mar 22, 2003 9:11 am Location: Marin, CA
|
|
| Top |
|
 |
|
Myke
|
Post subject: Re: Trigears Posted: Sun Nov 30, 2008 6:44 pm |
|
Joined: Mon Jan 01, 2007 5:28 pm Location: somewhere in the universe
|
Ooo. Very nice puzzle. Looks quite fun to mess around with. Could you bring it to the next puzzle meeting in Berkeley?
_________________ ...
3x3 29.95(lucky 28.05)
1.92 rubik's magic
My favorite animal is the Pfargtl.
|
|
| Top |
|
 |
|
Bram
|
Post subject: Re: Trigears Posted: Sun Nov 30, 2008 8:53 pm |
|
Joined: Sat Mar 22, 2003 9:11 am Location: Marin, CA
|
|
If I have one - the prototype is in europe right now.
|
|
| Top |
|
 |
|
Justin B
|
Post subject: Re: Trigears Posted: Sun Nov 30, 2008 9:08 pm |
|
Joined: Sun Oct 12, 2008 5:34 pm Location: Green Bay, WI
|
|
It can't be that hard, can it? I think there are only 48 different ways to arrange them, right?
_________________ "It is one thing to show a man that he is in an error, and another to put him in possession of the truth." -John Locke
|
|
| Top |
|
 |
|
supercube
|
Post subject: Re: Trigears Posted: Sun Nov 30, 2008 9:09 pm |
|
Joined: Sat Oct 18, 2008 9:01 am
|
|
| Top |
|
 |
|
Danny Devitt
|
Post subject: Re: Trigears Posted: Sun Nov 30, 2008 9:23 pm |
|
Joined: Tue Mar 25, 2008 2:51 am Location: Malibu, California
|
Justin B wrote: I think there are only 48 different ways to arrange them, right? This sounds right. There are 8 different ways to orient the wheels and 3!=6 different ways to place them so 6*8=48 appears to be correct. However, there are really only 2 positions because all the rest reduce to rotations of the puzzle. so there are then 8*2=16 positions. However, this is assuming that the 3 positions for the wheels are all the same. If they are at different heights or something then there _are_ 48 positions.
_________________ I am taking a break from the forum. You can reach me by PM if needed.
|
|
| Top |
|
 |
|
Justin B
|
Post subject: Re: Trigears Posted: Sun Nov 30, 2008 9:49 pm |
|
Joined: Sun Oct 12, 2008 5:34 pm Location: Green Bay, WI
|
Danny Devitt wrote: Justin B wrote: I think there are only 48 different ways to arrange them, right? This sounds right. There are 8 different ways to orient the wheels and 3!=6 different ways to place them so 6*8=48 appears to be correct. However, there are really only 2 positions because all the rest reduce to rotations of the puzzle. so there are then 8*2=16 positions. However, this is assuming that the 3 positions for the wheels are all the same. If they are at different heights or something then there _are_ 48 positions. I was assuming they were at different heights or distances from the center when I calculated that.
_________________ "It is one thing to show a man that he is in an error, and another to put him in possession of the truth." -John Locke
|
|
| Top |
|
 |
|
Bram
|
Post subject: Re: Trigears Posted: Sun Nov 30, 2008 10:53 pm |
|
Joined: Sat Mar 22, 2003 9:11 am Location: Marin, CA
|
|
If you look closely you'll notice that the teeth in the gears are irregular, so the orientations of each gear matter. On top of that, each gear can be flipped over, and the order in which the gears go through the middle can be either ABC or ACB, so that's 2*2*2*2*12*15*20 = 57600 total possible positions (the stand only lets each gear go in one of the three holders, and the numbers of teeth on the gears are 12, 15, and 20). On top of that, it's fairly tricky to get the pieces put in in a particular position, due to how the gears have to all kind of go in at once, and if you're trying to go through possibilities systematically you tend to lose your place when you take the gears out to reposition them.
There are other mitigating factors which make the number of possibilities fairly under control if you analyze it a bit, which I won't go into because it's a spoiler, but I can tell you that simply messing with this puzzle trying to find a solution randomly feels fairly hopeless, and that proper analysis can make finding the solution completely reasonable.
|
|
| Top |
|
 |
|
Danny Devitt
|
Post subject: Re: Trigears Posted: Sun Nov 30, 2008 11:00 pm |
|
Joined: Tue Mar 25, 2008 2:51 am Location: Malibu, California
|
|
Okay, I knew it had to be harder than that.
Excellent design, as always.
_________________ I am taking a break from the forum. You can reach me by PM if needed.
|
|
| Top |
|
 |
|
Bram
|
Post subject: Re: Trigears Posted: Sun Mar 01, 2009 1:38 pm |
|
Joined: Sat Mar 22, 2003 9:11 am Location: Marin, CA
|
|
A bit of a bump here, but I added a video (see the first post for a link).
|
|
| Top |
|
 |
|
kastellorizo
|
Post subject: Re: Trigears Posted: Sun Mar 01, 2009 2:23 pm |
|
Joined: Fri Nov 04, 2005 12:31 am Location: Greece, Australia, Thailand, Singapore.
|
|
| Top |
|
 |
|
GamerCuber101
|
Post subject: Re: Trigears Posted: Sun Mar 01, 2009 5:11 pm |
|
Joined: Sun Dec 07, 2008 6:42 pm
|
Bram wrote: Updated: now with video, see it here: http://www.youtube.com/watch?v=ONYN8yAEfpAThis isn't a twisty puzzle, but it's a puzzle of mine and may be of interest to some people here: Attachment: trigears.jpg You can get it and see more information here (sorry for the 3d printed prices): http://puzzlepalace.com/viewPuzzle.php5?id=200643 Technically, it is a twisty puzzle, as to tell if you have the solution you have to "twist" the gears(twist is used instead of spin in this case)
_________________ ~-=Tyler=-~
Fastest Times:3x3x3-37 seconds Magic: 2.48 seconds(after having it for 2 days)
|
|
| Top |
|
 |
|
Page 1 of 1
|
[ 12 posts ] |
|
Who is online |
Users browsing this forum: No registered users and 0 guests |
|
You cannot post new topics in this forum You cannot reply to topics in this forum You cannot edit your posts in this forum You cannot delete your posts in this forum You cannot post attachments in this forum
|
|
|