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 Post subject: Rhombicinx and his friends
PostPosted: Mon Dec 21, 2009 12:08 pm 
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Joined: Mon Aug 02, 2004 7:03 am
Location: Koblenz, Germany
Hi,
Since I am about to leave for christmas holidays, I need to get rid of all the points on my "to present"-list:
Please welcome Rhombicinx and friends:
Attachment:
Rhombicinx and friends.JPG
Rhombicinx and friends.JPG [ 345.21 KiB | Viewed 2841 times ]

  • I think everyone can guess what is the Rhombicinx here. :wink:
His friends are: (in no specific order)
  • The has-been-JingsPyraminx I already presented. Sorry for that.
  • The (not geometrically perfect) Rhombicosidodecahedron-Minx which as far as I know hasn't been done.
  • The truncated Dodecahedron made among others by Jürgen Brandt
  • The TetrakisHexahedron-Minx first made by Justin. I discovered that just before stickering in. *grumbl*
  • The truncated icosahedron. First made by me 5 years ago.
  • A work in progress. See below.

Some might ask, why I made such a simple mode as the Truncated Dodecahedron.
There is this series of image in wikipedia (scroll down):
http://en.wikipedia.org/wiki/Icosidodecahedron
And this is my answer for that:
Attachment:
SuccessiveTruncations (1).JPG
SuccessiveTruncations (1).JPG [ 357.05 KiB | Viewed 2831 times ]
(A Ultimate SKewb had to step in for the IcosidodecahedronMinx which suffered from Spontaneous Massive Existence Failure)

There is another reason for them:
Look at this table:
http://en.wikipedia.org/wiki/Archimedean_solids
and now at this:
Attachment:
Solids Archimedian.JPG
Solids Archimedian.JPG [ 361.41 KiB | Viewed 2834 times ]
Yes. I know. Two are missing.

And everybody who has already read my posts of the past hours will have some kind of Déjà vu here:
Attachment:
12 Axis plus one.JPG
12 Axis plus one.JPG [ 346.35 KiB | Viewed 2838 times ]

This year is finished!


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 Post subject: Re: Rhombicinx and his friends
PostPosted: Mon Dec 21, 2009 12:13 pm 
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Joined: Fri Feb 06, 2009 2:57 pm
Location: Pittsburgh
ONE DAY I TOO WILL OWN A HEXAMINX.

until then, I'll just cry myself to sleep.

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 Post subject: Re: Rhombicinx and his friends
PostPosted: Mon Dec 21, 2009 2:30 pm 
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Joined: Tue Jul 08, 2008 3:39 pm
Location: Cornwall, United Kingdom
Congratulations on the Rhombicinx!

I was going to have a go at that one in 2010 *grumble* :)


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 Post subject: Re: Rhombicinx and his friends
PostPosted: Mon Dec 21, 2009 2:37 pm 
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Joined: Thu Aug 24, 2006 5:34 pm
Location: Rotterdam, Netherlands
The Rhombicinx is really special. Very good looking.

Thomas

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 Post subject: Re: Rhombicinx and his friends
PostPosted: Tue Dec 22, 2009 5:16 am 
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Joined: Tue Dec 09, 2008 1:05 am
in top down order

wow
very fantastic
wow
wow
fantastic
?
wow

Is the Rhombicinx a flat TetrakisHexahedron-Minx ?


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 Post subject: Re: Rhombicinx and his friends
PostPosted: Tue Dec 22, 2009 11:14 am 
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Joined: Wed Jan 07, 2009 6:46 pm
Location: Evanston, IL
I love how you always insist on collecting/making the whole set!

All of them are incredible. Is the Rhombicinx this one?
Attachment:
Rhombicinx%20and%20friends.JPG
Rhombicinx%20and%20friends.JPG [ 300.38 KiB | Viewed 2826 times ]


How did you manage to get the Rhombicinx to be so precise? It's relatively easy to do it on a 3x3, since you just cut down each edge of the cube, and extend the centers. But what geometric "landmarks" did you utilize to make a regular rhombic dodecahedron?

Also, are those extensions solid? Or did you use plastic sheeting?

As always, fantastic work!

-π (Eitan)

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 Post subject: Re: Rhombicinx and his friends
PostPosted: Wed Dec 23, 2009 12:56 pm 
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Joined: Mon Aug 02, 2004 7:03 am
Location: Koblenz, Germany
Thank you!

@ Claus: You don't seem to recognize what the unfinished puzzle is going top be. Isn't that clear from the last picture?
And pisquared is right:
The Rhombicinx is a Megaminx forced into the shape of a Rhombic Dodecahedron.

And since we are speaking about series of puzzles: Does anybody want to make the last two missing shapoes in my third picture?

@pisquared:
The Rhombicinx is not that precise as it might look here.
And I did this:
1. I identified 6 edges to be shrinked, as I did more radically on the TetrakixHexahedronMinx.
2. I truncated it a bit and checked after every mm the degree between the truncated faces with a right angle made of steel. This is the result:
Attachment:
Rhombicinx.JPG
Rhombicinx.JPG [ 93.93 KiB | Viewed 2804 times ]
3. Delete the original faces by extending them one after the other. This technique is comparable to the Octahinx.

Even here we see the disadvantage of not-pillowing: We get non-planar cuts. In this case it is not a big issue but I thought it should be mentioned.


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 Post subject: Re: Rhombicinx and his friends
PostPosted: Wed Dec 23, 2009 1:00 pm 
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Location: Evanston, IL
Thanks for the info. Is that work-in-progress puzzle going to be a Pyramid Scheme? Or perhaps a ∏ramid Scheme?

-Eitan

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 Post subject: Re: Rhombicinx and his friends
PostPosted: Wed Dec 23, 2009 1:35 pm 
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Andreas Nortmann wrote:
And since we are speaking about series of puzzles: Does anybody want to make the last two missing shapoes in my third picture?


I believe that one missing solid is the snub dodecahedron. Am I right?


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 Post subject: Re: Rhombicinx and his friends
PostPosted: Wed Dec 23, 2009 1:41 pm 
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Yes, and the other missing solid is the truncated icosidodecahedron.

Andreas, if you make the TetrakisHexahedron-Minx flat, you also get the Rhombicinx. But I think it will fall part?


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 Post subject: Re: Rhombicinx and his friends
PostPosted: Thu Dec 24, 2009 7:18 am 
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Yes. The work-In-Progress will be my version of the Pyramid Scheme. It will be different but not that much.
And it was dangerous to speak about it. I am not 100% sure that I will succeed here.

Claus is right about the missing two.
I have deleted my notes about the Rhombicinx. I have thought about a truncation-only version but I am quit sure it will not work. Maybe it can be done with a CHinaminx which is deeper cut?


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 Post subject: Re: Rhombicinx and his friends
PostPosted: Thu Dec 24, 2009 7:58 am 
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Location: Cornwall, United Kingdom
I think it can be done with a Chinaminx. A lot of effort for a badly turning puzzle that would pop a lot. Perhaps a trial run on a Chinaminx before using a Hungarian Supernova :P


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 Post subject: Re: Rhombicinx and his friends
PostPosted: Sat Dec 26, 2009 12:17 pm 
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I think Justin is right.

I have tried it with a cheep Megaminx and have built a TetrakisHexahedron-Minx and made it flat.

It is possible only as a pillowed version.

Attachment:
cw_Rhombicinx pillowed unstickerd (1).JPG
cw_Rhombicinx pillowed unstickerd (1).JPG [ 506.3 KiB | Viewed 2479 times ]

Attachment:
cw_Rhombicinx pillowed unstickerd (2).JPG
cw_Rhombicinx pillowed unstickerd (2).JPG [ 470.25 KiB | Viewed 2479 times ]



I could't cut a little bit deeper. Then the Minx will fall apart. With the Chinaminx it will be possible.


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 Post subject: Re: Rhombicinx and his friends
PostPosted: Sat Dec 26, 2009 1:24 pm 
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Urgh!
Forgive me Claus, but that looks UGLY!

Needless to say: I had neither a Chinaminx nor a Supernova left.

What type of Megaminx was that, Claus?

EDIT: To make my point clear:
It looks fine but don't like pillowing if it is evitable.


Last edited by Andreas Nortmann on Sun Dec 27, 2009 1:23 pm, edited 1 time in total.

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 Post subject: Re: Rhombicinx and his friends
PostPosted: Sat Dec 26, 2009 2:54 pm 
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Andreas Nortmann wrote:
Urgh!
Forgive me Claus, but that looks UGLY!

Needless to say: I had neither a Chinaminx nor a Supernova left.

What type of Megaminx was that, Claus?

I think it looks fine, just needs work

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 Post subject: Re: Rhombicinx and his friends
PostPosted: Sun Dec 27, 2009 5:00 pm 
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Joined: Fri Feb 06, 2009 2:57 pm
Location: Pittsburgh
As Andreas added in, he doesn't like pillowing.

Neither do I, if it can be avoided.

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"Study gravitation, it's a field with a lot of potential."
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