Edge-Turning Rhombic Dodecahedron (Eitan) ON EBAY!

pirsquared · **Posted:** Sun Dec 12, 2010 11:47 pm

I've hinted at it here. And there.

And here it is!

The Edge-Turning Rhombic Dodecahedron

VIDEO!

AUCTION!

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File comment: ETRD - Turn

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This puzzle finishes up the trilogy of Face-, Vertex-, and Edge-Turning puzzles for the Rhombic Dodecahedron shape. It is identical in mechanism to the Face-Turning Deltoidal Icositetrahedron. Only jumbling turns are possible, and they happen at multiple angles. The puzzle turns very, very well, and doesn't lock up at all.

I will be selling this puzzle on eBay sometime in the next week (as soon as I get home for winter break).

I'll post a video soon.

In the meantime, enjoy the pictures!

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File comment: ETRD - Solved 1

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File comment: ETRD - Solved 2

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File comment: ETRD - Jumble Turn 1

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File comment: ETRD - Jumble Turn 2

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File comment: ETRD - More Jumbling

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File comment: ETRD - Even more jumbling

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File comment: ETRD - And one more jumbling

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File comment: ETRD - Same geometry as Face-Turning Deltoidal Icositetrahedron

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File comment: ETRD - Size comparison with 3x3

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-π (Eitan)

Kapusta · **Posted:** Mon Dec 13, 2010 12:00 am

Wait a minute, WHAT!?!? :shock:

Wow. Just wow. Keep on exploring what can be done with the Catalan solids!

dannyb21892 · **Joined:** Mon Mar 03, 2008 5:30 pm **Location:** NYC

So that's what your hint picture was. Incredible! Vertex turning next?

NType3 · **Joined:** Mon Oct 18, 2010 10:48 am

My eyes just popped out of my head and my brains are currently draining onto the table.

Kapusta · **Posted:** Mon Dec 13, 2010 12:20 am

dannyb21892 wrote:

Vertex turning next?

DRD (Dino rhombic dodecahedron) Was a vertex turning rhombic dodecahedron. The SuperX and the Face Turning Cubeoctahedron also share this geometry, but in different shapes. (None of them were curvy, though...)

pirsquared · **Posted:** Mon Dec 13, 2010 12:27 am

Kapusta wrote:

The SuperX and the Face Turning Cubeoctahedron also share this geometry, but in different shapes. (None of them were curvy, though...)

Ummm... They are not the same puzzle. Those puzzles have 14 axes. This one has 24.

-π (Eitan)

dannyb21892 · **Joined:** Mon Mar 03, 2008 5:30 pm **Location:** NYC

He meant those puzzles share the same geometry as a vertex turning rhombic dodecahedron. He was responding to my original question

stardust4ever · **Posted:** Mon Dec 13, 2010 12:58 am

Okay, my brain just officially exploded! :shock:

I see how it rotates, but I just can't believe it. :lol:

First, the deeper cut edge-turning Icosahedron, and now this? That's just as if not moreso genius than some of Oskar's creations. :scrambled:

Quick question: Seeing as each face is asymmetric, I was just wondering if the rotation axis is at a right angle or not compared to the Rh-Dod edges? Wow.

Elwyn · **Posted:** Mon Dec 13, 2010 1:14 am

You've been making some incredible puzzles lately and, as over used as the word is, this one is awesome! The pattern on the faces is similar to the curvy copter II but with extra bits on two of the corners. Very aesthetically pleasing.

Luke · **Posted:** Mon Dec 13, 2010 2:10 am

Awesome! I've been talking with TomZ about this one. I absolutely love it. Please say that this will be another one for Shapeways?

Sigurd · **Posted:** Mon Dec 13, 2010 2:11 am

oh WOW!! Congratulations on making this one!

DARKYtheCUBER · **Joined:** Sat Jul 17, 2010 8:06 am **Location:** Florida

Brain.exe has stopped working. Brain.exe has suffered a serious malfunction due to the epicness of the first sight of the puzzle. Please reboot and try again later.

JeongEC · **Posted:** Mon Dec 13, 2010 6:14 am

Oh god.. incredible. Need'nt more word.

fbgrac · **Posted:** Mon Dec 13, 2010 8:16 am

This puzzle is simply incredible!!!
It has 24 cuts that aren't parallel to the edges, and when is turned, just some sides get aligned and the others not, as I could see... So it's because it only jumbles.
Deltoidal Icositetrahedron symmetry! MARVELOUS!!!
Now we began the Jumbling Age! :lol:

PuzzleMaster6262 · **Joined:** Sun Jun 13, 2010 1:00 am **Location:** Colorado

Amazing puzzle! Great job once again :mrgreen:

pirsquared · **Posted:** Mon Dec 13, 2010 11:41 am

stardust4ever wrote:

Quick question: Seeing as each face is asymmetric, I was just wondering if the rotation axis is at a right angle or not compared to the Rh-Dod edges? Wow.

fbgrac wrote:

It has 24 cuts that aren't parallel to the edges,

In fact, the cuts are parallel to the edges! And the axes are perpendicular to the edges. However, the axes don't meet the edges right in the middle. They are slightly off center.

Thanks for all the compliments!

Andreas Nortmann · **Posted:** Mon Dec 13, 2010 1:38 pm

Just cool.
And by the way: There is no edge turning rhombic dodecahedron on the platonic matrix...
That is another matrix. :shock:

MonkeyZ · **Joined:** Tue Aug 11, 2009 3:59 pm **Location:** NJ

Amazing puzzle, I love the way it looks and its symmetry.

merlintocs · **Posted:** Mon Dec 13, 2010 3:37 pm

Wow. Just wow.

Monopoly · **Posted:** Mon Dec 13, 2010 4:10 pm

Just looking at this puzzle makes my brain melt. Although I can clearly see how the symmetries work, I still find it hard to comprehend that it actually exists.
Is this just a shape-mod of the Face turning icosatetrahedron, minus the face centers? It seems to be but I can't really tell. However I have some questions and a picture is worth a thousand words:

1. are all the blue/cyan-ish pieces mechanically identical? I remember they were on the FTIcosatetrahedron, I can't tell if they are here.
2. are the green pieces (labeled piece 2) mechanically identical?
3. can the purple piece be flipped in place?
Great puzzle though! It surprised me.
thanks,
sj

pirsquared · **Posted:** Mon Dec 13, 2010 4:46 pm

Monopoly wrote:

1. are all the blue/cyan-ish pieces mechanically identical? I remember they were on the FTIcosatetrahedron, I can't tell if they are here.
2. are the green pieces (labeled piece 2) mechanically identical?
3. can the purple piece be flipped in place?

Yes, Yes, and Yes. I just realized I made a big typo in the first post...

pirsquared wrote:

It is identical in mechanism to the Face-Turning Rhombic Dodecahedron.

I meant the Face-Turning Deltoidal Icositetrahedron.

-pi (Eitan)

NXTgen · **Joined:** Sun Dec 13, 2009 5:48 pm

Me: Sir?

you: yes?

Me: You, have just made my brain explode.

you: ...thanks

pirsquared · **Posted:** Sat Dec 18, 2010 2:56 pm

Video!

Luke · **Posted:** Sat Dec 18, 2010 3:06 pm

Very nice Eitan. Could one be made in which the axis of rotation which is in the middle of the edge?

pirsquared · **Posted:** Sat Dec 18, 2010 3:14 pm

Actually, I was wrong about that... I realized that the axes actually do pass through the middle of the edges. They fillets just make it look as though they don't.

-π (Eitan)

pirsquared · **Posted:** Fri Dec 24, 2010 2:53 pm

I just started a 7-day auction for this puzzle on eBay!

AUCTION!

Happy bidding!

-pi (Eitan)

Edge-Turning Rhombic Dodecahedron (Eitan) ON EBAY!

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