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 Post subject: A new kind of center cap bandagingPosted: Tue Jul 30, 2013 1:30 pm

Joined: Sat Mar 22, 2003 9:11 am
Location: Marin, CA
I had an idea this morning for a new kind of center cap bandaging, or at least new to me.

On a regular 3x3x3, Each face has this logo on it, which is a reasonable facsimile of what it looks like underneath:

XXX
_XXX

(sorry for the underscores, I'm not sure how to mark up a section to be monospace)

The rules of how this works are as follows.

In this position, both X and Y can rotate clockwise but not counterclockwise:

XXX_YYY
_XXX_YYY

In this position, X can rotate either way but Y can only rotate counterclockwise:

______Y
XXX__YY
_XXX_YY
_____Y

And in this position, both X and Y can rotate either way (although it's impossible for the Z face to leave everything possible at once):

__X___Y
_XX__YY
_XX__YY
_X___Y

This form of bandaging works best if it's on every single face. It's an interesting question whether it's possible to go from solved with the centers in one set of orientations to solved with a different set of orientations.

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 Post subject: Re: A new kind of center cap bandagingPosted: Wed Jul 31, 2013 5:56 pm

Joined: Sat Mar 22, 2003 9:11 am
Location: Marin, CA
I'm not sure what to make of the total lack of replies. Do people not follow the mechanism? Are all the usual repliers at IPP?

The mechanism is very simple - there are blockers on the edges of center caps which hit the same parts on other center caps, but each one only has one side so they can mesh with but not go past each other.

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 Post subject: Re: A new kind of center cap bandagingPosted: Wed Jul 31, 2013 6:02 pm

Joined: Sat Sep 15, 2012 7:42 am
I, for one, have no freaking clue what you're talking about. Pictures would definitely help.

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 Post subject: Re: A new kind of center cap bandagingPosted: Wed Jul 31, 2013 6:43 pm

Joined: Thu Oct 16, 2008 9:46 pm
Location: Littleton CO
I get it. I'm not sure how exactly one would implement it. Where do you think the blockers would be on the piece?

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 Post subject: Re: A new kind of center cap bandagingPosted: Wed Jul 31, 2013 8:13 pm

Joined: Fri Feb 08, 2008 1:47 am
Location: near Utrecht, Netherlands
I probably have misunderstood, but I think I have used a similar mechanism for my "3x3x3 limited to half turns on one axis". Oskar used a similar concept in his good neighbours cube.

 Attachments: pBC2Y0v[1].png [ 225.53 KiB | Viewed 2001 times ]

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 Post subject: Re: A new kind of center cap bandagingPosted: Wed Jul 31, 2013 11:48 pm

Joined: Sat Mar 22, 2003 9:11 am
Location: Marin, CA
UPDATE: Changed image to contain less fail

Tomz, it's sort of like that, but the sections are all on the same level, and they have interlocking protrusions, like this:
Attachment:

pBC2Y0v%5B1%5D (1).png [ 216.23 KiB | Viewed 1959 times ]

Does that clarify things?

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 Post subject: Re: A new kind of center cap bandagingPosted: Thu Aug 01, 2013 4:22 am

Joined: Sun Nov 23, 2008 2:18 am
I want to understand this, but I am not having much luck, and the images definately don't help(though the problem is definately on my end there).

Do the protrusions block movement in both directions, or can they be pushed out of the way if moving in the correct direction?

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 Post subject: Re: A new kind of center cap bandagingPosted: Thu Aug 01, 2013 4:23 am

Joined: Fri Feb 08, 2008 1:47 am
Location: near Utrecht, Netherlands
Bram wrote:
UPDATE: Changed image to contain less fail

Oops...
Attachment:

r78c[1].png [ 177.79 KiB | Viewed 1942 times ]

I already thought those parts would make a strange puzzle. This should be better.

Attachment:

FVuEFbB[1].png [ 176.98 KiB | Viewed 1942 times ]

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 Post subject: Re: A new kind of center cap bandagingPosted: Thu Aug 01, 2013 4:40 am

Joined: Fri Nov 05, 2010 2:20 am
Location: Wherever
Now disguise this as an 'ordinary' 3x3x3 and call it the recurring nightmare cube.

Jeffery Mewtamer wrote:

Do the protrusions block movement in both directions, or can they be pushed out of the way if moving in the correct direction?

They block in both directions.

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 Post subject: Re: A new kind of center cap bandagingPosted: Thu Aug 01, 2013 6:11 pm

Joined: Sat Mar 22, 2003 9:11 am
Location: Marin, CA
TomZ wrote:
Attachment:
FVuEFbB[1].png

That's mostly it, although you've rendered it with each cap having one protrusion, where my thought is that each cap has two, pointing in opposite directions. That leads to rather interesting movement of the puzzle as a whole. Also one of the protrusions you've rendered is the opposite handedness of the others, which doesn't really work. They should all be the same handedness.

It's of course a good idea to label the caps indicating where the protrusions are.

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 Post subject: Re: A new kind of center cap bandagingPosted: Fri Aug 02, 2013 2:00 am

Joined: Thu Dec 02, 2004 12:09 pm
Location: Missouri
Bram wrote:
Are all the usual repliers at IPP?
Yes... or at least that is true of this one. I like the concept and I agree none of the reders made so far reflect the pieces you discribe in your original post.　Still I like the idea　mechanically. I don`t think I can comment on how interesting the solving part of the equation might be.

Carl

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 Post subject: Re: A new kind of center cap bandagingPosted: Fri Aug 02, 2013 2:19 am

Joined: Mon Nov 30, 2009 1:03 pm
TomZ wrote:
I probably have misunderstood, but I think I have used a similar mechanism for my "3x3x3 limited to half turns on one axis". Oskar used a similar concept in his good neighbours cube.
I agree, Good-Neighbours-Cube could be easily modded into Brams proposed design by cutting the inner center protrusions in half. Also, one can consider making the pieces look-through so one can see the mechanism. No need to make the puzzle more nightmarish than it is already.

Oskar

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 Post subject: Re: A new kind of center cap bandagingPosted: Fri Aug 02, 2013 3:47 pm

Joined: Sat Mar 22, 2003 9:11 am
Location: Marin, CA
Oskar wrote:
one can consider making the pieces look-through so one can see the mechanism. No need to make the puzzle more nightmarish than it is already.

The most logical way to do that is to put holes in the centers of the edges so you can directly see the protrusions blocking each other.

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 Post subject: Re: A new kind of center cap bandagingPosted: Fri Aug 02, 2013 4:03 pm

Joined: Mon Nov 30, 2009 1:03 pm
Bram wrote:
Oskar wrote:
one can consider making the pieces look-through so one can see the mechanism. No need to make the puzzle more nightmarish than it is already.
The most logical way to do that is to put holes in the centers of the edges so you can directly see the protrusions blocking each other.
Bram,

Thank you for describing and appreciating that mechanical detail of the Good Neighbours Cube, and its cousins like Paso Doble, Slice Gear Cube, Variomatic Cube and Cube Bouchon.

Oskar

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 Post subject: Re: A new kind of center cap bandagingPosted: Sat Aug 03, 2013 5:29 pm

Joined: Sat Mar 22, 2003 9:11 am
Location: Marin, CA
The thing which seems odd about the hollowing of the good neighbors cube is the bars going on the very outer edges of the cube. Especially on the edge pieces they're right on top of the thing you want to see.

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 Post subject: Re: A new kind of center cap bandagingPosted: Sat Aug 03, 2013 5:53 pm

Joined: Mon Nov 30, 2009 1:03 pm
Bram wrote:
The thing which seems odd about the hollowing of the good neighbors cube is the bars going on the very outer edges of the cube. Especially on the edge pieces they're right on top of the thing you want to see.
Feel free to check out the photos and videos of Good Neighbours Cube, Paso Doble, Slice Gear Cube, Variomatic Cube and Cube Bouchon, and discover that that bar is sufficiently thin to watch around it.

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