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 Post subject: Shapes and Mechanisms: Concepts and Creations.
PostPosted: Tue Oct 23, 2007 4:49 pm 
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I made a short list of some common puzzle mechanisms, and a short list of some common puzzle mod shapes.

I then went through the database and thread archives. (Yay search functions.)

I made this list over the course of an hour and a half, so I'm sure there's errors. So please post, and I'll correct them.

The point of this is not to catalog puzzle, we already have plenty of those (up to date or not), but hopefully to inspire people to make new mods. For example, I haven't seen a cubic version of the pyraminx.

I know there are shapes I didn't list, as well as puzzles with different mechanisms I didn't list. This was just a short little project I came up with while not paying attention in Statistics.

For some of the links, I know other people have made the puzzle before. I ended up just choosing one and moving on. I hope no one has a problem with that.

Cheers,
Noah
----------------------------------------------------------------

2x2x2
-Sphere
K-Ball

-Tetrahedron
Pyramorphix

-Pillowed Tetrahedron
Not Yet Made

-Cube
Junior Cube

-Octahedron
Okki/Gem

-Dodecahedron
Dodecahedron 2x2x2

-Rhombic Dodecahedron
Rhombic Dodecahedron 2x2x2

-Icosahedron
Icosahedron 2x2x2

-Cylinder
Tonne

-Cuboctahedron
Friki Cube

-Half Truncated
Half Truncated 2x2

3x3x3

-Sphere
3x3x3 Sphere

-Tetrahedron
Mastermorphix

-Pillowed Tetrahedron
Pillowed Mastermorphix

-Cube
Rubik's Cube

-Octahedron
Trajber's Octohedron

-Dodecahedron
3x3x3 Dodecahedron

-Rhombic Dodecahedron
3x3x3 Rhombic Dodecahedron

-Icosahedron
3x3x3 Icosahedron

-Cylinder
3x3x3 Cylinder

-Cuboctahedron
Cuboctahedron

-Half Truncated
Half Truncated 3x3x3

4x4x4
-Sphere
4x4x4 Ball

-Tetrahedron
Megamorphix

-Pillowed Tetrahedron
Not Yet Made

-Cube
Rubik's Revenge

-Octahedron
Master Trajber's Octahedron

-Dodecahedron
4x4x4 Dodecahedron

-Rhombic Dodecahedron
Not Yet Made

-Icosahedron
Not Yet Made

-Cylinder
4x4x4 Cylinder

-Cuboctahedron
Master Cube Octahedron

-Half Truncated
Not Yet Made

5x5x5
-Sphere
Not Yet Made

-Tetrahedron
Not Yet Made

-Pillowed Tetrahedron
Not Yet Made

-Cube
Professor Cube

-Octahedron
Professor Trajber's Octahedron (In Progress)

-Dodecahedron
Not Yet Made

-Rhombic Dodecahedron
5x5x5 Rhombic Dodecahedron

-Icosahedron
Not Yet Made

-Cylinder
5x5x5 Cylinder

-Cuboctahedron
Professor Cuboctahedron

-Half Truncated
Not Yet Made


Skewb
-Sphere
Puzzle Ball

-Tetrahedron
Halpern-Meier Tetrahedron

-Pillowed Tetrahedron
Not Yet Made

-Cube
Skewb

-Octahedron
Skewb Diamond

-Dodecahedron
Skewb Ultimate

-Rhombic Dodecahedron
Fisher's Rhombic Dodecahedron

-Icosahedron
Fisher's Icosahedron

-Cylinder
Not Yet Made

-Cuboctahedron
Mama Skewb

-Half Truncated
Paraskewb

Pyraminx
-Sphere
Not Yet Made

-Tetrahedron
Pyraminx

-Pillowed Tetrahedron
Not Yet Made

-Cube
Cubominx

-Octahedron
Octaminx

-Dodecahedron
Not Yet Made

-Rhombic Dodecahedron
Not Yet Made

-Icosahedron
Pyricosaminx

-Cylinder
Not Yet Made

-Cuboctahedron
Not Yet Made

-Half Truncated
Not Yet Made


Square-1
-Sphere
Sphere-1

-Tetrahedron
Greenhill's Tetrahedron

-Pillowed Tetrahedron
Danger Cube

-Cube
Square-1
-Octahedron
Not Yet Made

-Dodecahedron
Greenhill's Dodecahedron

-Rhombic Dodecahedron
Not Yet Made

-Icosahedron
Not Yet Made

-Cylinder
Cylinder-1

-Cuboctahedron
Not Yet Made

-Half Truncated
Marvin


Megaminx

-Sphere
Megaminx Ball

-Tetrahedron
Not Yet Made

-Pillowed Tetrahedron
Pyramid Scheme

-Cube
Hexaminx

-Octahedron
Not Yet Made

-Dodecahedron
Megaminx

-Rhombic Dodecahedron
Not Yet Made

-Icosahedron
Icosaminx

-Cylinder
Not Yet Made

-Cuboctahedron
Not Yet Made

-Half Truncated
Not Yet Made

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3x3 PB 22.63
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Last edited by Noah on Fri May 02, 2008 12:49 pm, edited 4 times in total.

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 Post subject:
PostPosted: Tue Oct 23, 2007 5:01 pm 
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Nice list indeed.

I am also planning to make some list with all types of different folding magic puzzles, i.e. even if they have same number of tiles, their mechanism can be completely different.

The one I did some time ago *still* does not cover everything!!!

:)


Pantazis

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 Post subject: Re: Shapes and Mechanisms: Concepts and Creations.
PostPosted: Tue Oct 23, 2007 5:19 pm 
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Noah wrote:
For example, I haven't seen a cubic version of the pyraminx.


Isn't the Offset Skewb a kind of cubic Pyraminx?

Thomas

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 Post subject: Re: Shapes and Mechanisms: Concepts and Creations.
PostPosted: Tue Oct 23, 2007 5:27 pm 
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Thomas wrote:
Noah wrote:
For example, I haven't seen a cubic version of the pyraminx.


Isn't the Offset Skewb a kind of cubic Pyraminx?

Thomas


Well didnt the Skewb used o be called the "Pyraminx Cube" or something like that?

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2x2x2 . . . PB: 1.65 Avg: 5.32
3x3x3 . . . PB: 11.32 Avg: 17.33
4x4x4 . . . PB: 1:11.32 Avg: 1:27
5x5x5 . . . PB: 2:26.47 Avg: 2:36.04
Pyraminx . PB: 4.18 Avg: 8.43


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 Post subject:
PostPosted: Tue Oct 23, 2007 5:37 pm 
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kastellorizo wrote:
Nice list indeed.

I am also planning to make some list with all types of different folding magic puzzles, i.e. even if they have same number of tiles, their mechanism can be completely different.

The one I did some time ago *still* does not cover everything!!!

:)


Pantazis


Don't forget me!

viewtopic.php?t=7571&start=0&postdays=0&postorder=asc&highlight=jesse+architecture+magic

I know its just another 6-tile magic, but i'm still proud of it.

I also just finished stringing a 12 tile magic, so after i see how it moves for a while, i may put some new design into the puzzle

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 Post subject:
PostPosted: Tue Oct 23, 2007 6:03 pm 
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Thomas wrote:
Noah wrote:
For example, I haven't seen a cubic version of the pyraminx.


Isn't the Offset Skewb a kind of cubic Pyraminx?

Thomas


Not quite because the Offset Skewb doesn't differ schematically from an ordinary skewb. It solves exactly the same, in fact. In order to be a cubic Pyraminx four of the corner pieces would have to shrink to nothing. This could be constructed easily enough.

But you're right, there's a close relationship. It's been previously discussed that all Skewbs (Cube, Diamond, and Ultimate) are closely related to Pyraminx because they're all based on the same 4-arm spider concept, and they all have four axes with three positions each.


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 Post subject:
PostPosted: Tue Oct 23, 2007 6:07 pm 
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VeryWetPaint wrote:
But you're right, there's a close relationship. It's been previously discussed that all Skewbs (Cube, Diamond, and Ultimate) are closely related to Pyraminx because they're all based on the same 4-arm spider concept, and they all have four axes with three positions each.


I guess this could easily be seen in the Master Pyraminx - which is made from a skewb. ;)


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 Post subject: Re: Shapes and Mechanisms: Concepts and Creations.
PostPosted: Tue Oct 23, 2007 7:45 pm 
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Noah wrote:
I
-Dodecahedron
Couldn't find link. I saw the construction documentation pictures on a different website. I believe it was in a different language.


You didn't use the right search function. Get with the program. I'm just joking I could never holler at someone. :D :) 8-) :wink:

http://twistypuzzles.com/articles/

http://www.asahi-net.or.jp/~wq6h-tkj/bb ... inal_e.htm[/quote]

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 Post subject:
PostPosted: Tue Oct 23, 2007 8:22 pm 
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Thanks Darren! I knew I wasn't going crazy. I totally forgot it was linked in the articles section.

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3x3 PB 22.63
3x3 Av 30.57

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Started cubing Oct 15 '05

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 Post subject:
PostPosted: Wed Oct 24, 2007 11:17 am 
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Anyways, here is a list of mods that this list helped come up with.
2x2x2 Pillowed Tetrahedron
2x2x2 Cuboctahedron
4x4x4 Pillowed Tetrahedron
4x4x4 Rhombic Dodecahedron
4x4x4 Icosahedron
4x4x4 Half Truncated
5x5x5 Sphere/ball
5x5x5 Tetrahedron (Professormorphix)
5x5x5 Dodecahedron
5x5x5 Icosahedron
5x5x5 Half Truncated
Skewb Pillowed Tetrahedron.
Skewb Cylinder
Pyraminx Sphere
Pillowed Pyraminx
Cubical Pyraminx
Pyraminx Dodecahedron
Pyraminx Rhombic Dodecahedron
Pyraminx Cylinder
Pyraminx Cuboctahedron
Pyraminx Half Truncated
Square-1 Octagon (Trajbers-1)
Square-1 Cubeoctahedron

And I wont even bother with the megaminx mods. We've already come very far with just the Hexaminx.

There are several mods from the list I would love to see.

5x5x5 Ball
Skewb Cylinder
Pyraminx Sphere
Pyraminx Cylinder
Trajbers-1

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3x3 PB 22.63
3x3 Av 30.57

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Started cubing Oct 15 '05

Out of the game, but not completely.


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 Post subject:
PostPosted: Wed Oct 24, 2007 11:28 am 
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Noah wrote:
Skewb Cylinder


Has been done. See Scott Bedard's Mental Puck.

Thomas

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 Post subject:
PostPosted: Wed Oct 24, 2007 12:24 pm 
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Thomas wrote:
Noah wrote:
Skewb Cylinder


Has been done. See Scott Bedard's Mental Puck.

Thomas
It techinically is, but I was thinking of something close to the attached picture.

To me, the mental puck would be related to a skewb cylinder the same way a case cube is related to a fisher cube.


Attachments:
temp.jpg
temp.jpg [ 6.16 KiB | Viewed 10590 times ]

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3x3 PB 22.63
3x3 Av 30.57

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Started cubing Oct 15 '05

Out of the game, but not completely.
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PostPosted: Wed Oct 24, 2007 12:31 pm 
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The 5x5x5 ball would be pretty easy, especially if you made it from an Eastsheen. Interestingly, you could make any NxNxN ball with an Eastsheen mechanism, because you wouldn't have any problems with corners... I'd totally like to see a 7x7x7 ball, or maybe make one, at some point...

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PostPosted: Thu Oct 25, 2007 3:35 pm 
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Sadly I must recant my earlier suggestion about building a cubic pyraminx.

Upon analyzing the planes of the cuts I'm forced to conclude a cubic pyraminx is not possible, at least not while remaining strictly in the Pyraminx family. You could build a half-truncated cube, which is virtually a Skewb minus four corners.

Adding four pieces for the corners would transform the puzzle from the Pyraminx family to the Skewb family. That's possibly how the Pyraminx Cube / Skewb was invented.

Still, it might be fun to transform an Offset Skewb into a more Pyraminx-like puzzle by adding trivially-turning tips to the four larger corners.

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 Post subject:
PostPosted: Thu Oct 25, 2007 3:41 pm 
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Instead of a cubic pyraminx, build a Pyramid Cube. You cut sand and cut a 3x3 so it would be a truncated pyramis, and then extend it. Also you use that cocept but you can make a frustum too. FRUSTUM!

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2x2x2 . . . PB: 1.65 Avg: 5.32
3x3x3 . . . PB: 11.32 Avg: 17.33
4x4x4 . . . PB: 1:11.32 Avg: 1:27
5x5x5 . . . PB: 2:26.47 Avg: 2:36.04
Pyraminx . PB: 4.18 Avg: 8.43


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PostPosted: Thu Oct 25, 2007 3:54 pm 
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sirajali05 wrote:
Instead of a cubic pyraminx, build a Pyramid Cube. You cut sand and cut a 3x3 so it would be a truncated pyramis, and then extend it. Also you use that cocept but you can make a frustum too. FRUSTUM!


Are you talking about what volker and the.drizzle have both made? i cant find it right now but the.drizzle also made one out of a square-1 and something else, its like the danger cube.

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PostPosted: Thu Oct 25, 2007 4:03 pm 
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I didnt know its been made. And youre talking abouta frustum?(A truncated Cone)

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2x2x2 . . . PB: 1.65 Avg: 5.32
3x3x3 . . . PB: 11.32 Avg: 17.33
4x4x4 . . . PB: 1:11.32 Avg: 1:27
5x5x5 . . . PB: 2:26.47 Avg: 2:36.04
Pyraminx . PB: 4.18 Avg: 8.43


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PostPosted: Wed Oct 31, 2007 10:47 am 
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While talking to Jake Rueth at the Minnesota Open, we were discussing this thread and he pointed out something very interesting.

The Pyracue is in fact based on a Pyraminx and is in the shape of a cube.

http://puzzle3d.hp.infoseek.co.jp/pyracue.html

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Fridrich
3x3 PB 22.63
3x3 Av 30.57

25, Male
Started cubing Oct 15 '05

Out of the game, but not completely.


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PostPosted: Wed Oct 31, 2007 11:00 am 
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A pyraminx made into a cube:

Skewb

At least that's what the mechanisms say.

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PostPosted: Wed Oct 31, 2007 11:16 am 
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Swordsman Kirby wrote:
A pyraminx made into a cube:

Skewb

At least that's what the mechanisms say.
But the skewb adds 4 floating corners, that's why I consider it different, in that sense at least.

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Fridrich
3x3 PB 22.63
3x3 Av 30.57

25, Male
Started cubing Oct 15 '05

Out of the game, but not completely.


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 Post subject:
PostPosted: Fri Nov 02, 2007 3:52 pm 
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I wrote:
Noah wrote:
For example, I haven't seen a cubic version of the pyraminx.


Isn't the Offset Skewb a kind of cubic Pyraminx?

Thomas


Noah wrote:
While talking to Jake Rueth at the Minnesota Open, we were discussing this thread and he pointed out something very interesting.

The Pyracue is in fact based on a Pyraminx and is in the shape of a cube.

http://puzzle3d.hp.infoseek.co.jp/pyracue.html


I believe the Pyracue is based on the Offset Skewb mechanism. They both have the same number of pieces as a Skewb (4 more than the Pyraminx), but the dimensions (not of the pieces, but of the cutting planes - does that make sense?) are more like the Pyraminx. That's why I said the Offset Skewb (and indeed also the Pyracue) are a kind of cubic Pyraminx.

Thomas

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 Post subject:
PostPosted: Fri Nov 02, 2007 7:36 pm 
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Upon further examination, the Pyracue is indeed a Skewb (4 floating corners) mechanism.

I didn't realize the small equilateral triangles were not connected to the narrower rectangles.

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Fridrich
3x3 PB 22.63
3x3 Av 30.57

25, Male
Started cubing Oct 15 '05

Out of the game, but not completely.


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 Post subject:
PostPosted: Fri Nov 02, 2007 9:42 pm 
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VeryWetPaint wrote:
Sadly I must recant my earlier suggestion about building a cubic pyraminx.

Upon analyzing the planes of the cuts I'm forced to conclude a cubic pyraminx is not possible


Don't be sad VeryWetPaint. Here's one I made years ago. I called it Cubominx. Dieter Gebhardt went on to write about it in CFF.


Attachments:
Tony Fishers Cubominx.jpg
Tony Fishers Cubominx.jpg [ 27.45 KiB | Viewed 10347 times ]
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PostPosted: Fri Nov 02, 2007 11:13 pm 
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Thomas wrote:
I believe the Pyracue is based on the Offset Skewb mechanism. They both have the same number of pieces as a Skewb (4 more than the Pyraminx), but the dimensions (not of the pieces, but of the cutting planes - does that make sense?) are more like the Pyraminx. That's why I said the Offset Skewb (and indeed also the Pyracue) are a kind of cubic Pyraminx.

In my view (and it had been since I first saw it) that Pyracue is essentially a Mental Block that is based on Offset Skewb.

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PostPosted: Sat Nov 03, 2007 1:50 am 
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Tony Fisher wrote:
Don't be sad VeryWetPaint. Here's one I made years ago.
I called it Cubominx. Dieter Gebhardt went on to write about it in CFF.


Oh wow. How come I've never seen that before?
I indeed found it just now in the CFF index on cff.helm.lu.

Aleksey wrote:
In my view (and it had been since I first saw it) that Pyracue is essentially a Mental Block that is based on Offset Skewb.


A Mental Block? That's an interesting approach. A very truncated one then. But would you still call that a Mental Block?
It's just a sketch, but wouldn't an Offset Mental Block look like this?

Thomas

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PostPosted: Sat Nov 03, 2007 3:28 am 
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Tony Fisher wrote:
VeryWetPaint wrote:
Sadly I must recant my earlier suggestion about building a cubic pyraminx.

Upon analyzing the planes of the cuts I'm forced to conclude a cubic pyraminx is not possible


Don't be sad VeryWetPaint. Here's one I made years ago. I called it Cubominx. Dieter Gebhardt went on to write about it in CFF.


Sure enough! The hollow corners are an excellent alternative to truncated corners. I was stuck on solids.

I like your solution, but I still want to build it with four trivially-turning tips just to complete the "Pyraminx" aspect of it. (Not that I've got enough building experience.) Then I might be able to build pretty patterns on it!

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 Post subject: Re: Shapes and Mechanisms: Concepts and Creations.
PostPosted: Fri May 02, 2008 12:51 pm 
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I have updated this thread.


I've fixed a handful of errors, added the new Pillowed Megaminx and finally found the 2x2 Cuboctahedron.

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Fridrich
3x3 PB 22.63
3x3 Av 30.57

25, Male
Started cubing Oct 15 '05

Out of the game, but not completely.


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 Post subject: Re: Shapes and Mechanisms: Concepts and Creations.
PostPosted: Fri May 02, 2008 9:11 pm 
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I would like to see a thread with actual pictures of mechanisms for certain puzzles.


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 Post subject: Re: Shapes and Mechanisms: Concepts and Creations.
PostPosted: Tue Jul 14, 2009 2:20 pm 
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The octahedron and icosahedron based in square-1 have been made by my. :)

http://www.twistypuzzles.com/forum/view ... 15&t=12752
http://www.twistypuzzles.com/forum/view ... 15&t=14141

EDIT: The Squarhedron is not from a Square-1, is build from a Square-1 variant (only corners). :oops:

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