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 Post subject: Argo, a puzzle based on the 6D symmetry of the 6-simplex!Posted: Thu Jul 29, 2010 11:13 am

Joined: Fri Nov 04, 2005 12:31 am
Location: Greece, Australia, Thailand, India, Singapore.
To conclude this crazy month of July, I present Argo (named by the ship with Argonauts
who were seeking the Golden Fleece), which is a puzzle based on the 6th dimensional
symmetry of the 6-simplex.

Attachment:

6D_Argo.jpg [ 38.08 KiB | Viewed 1234 times ]

Unlike Chronos, and similar to Pegasus, this higher symmetry, equips the puzzle
with even more complex moves. More specifically, by using the "minimised external
edges" shape (MEES), we have now four choices for a movement, compared to only
one found in Chronos and three in Pegasus (see my previous videos for those two
other puzzles). And just like Pegasus, each of those choices provides a different result.

By using those four moves we may create any color combination for the MEES
(actually, for clarity reasons, I use a "slightly minimised edge version"). And as stated
in previous puzzles, the higher the dimensional symmetry, the more options and shapes
we have to choose from. In general, we can produce any of the 3D projections of the
6D structure known as 6-simplex.

Just to clarify, the top colors can change to any color combination. But that is not all.
We can also keep the top colors the same, and exchange the colors at the base!
(this also happens in the 5D Pegasus). Or in other words, any corners can be swapped
by any corners and always keeping the same shape! Isn't that type of symmetry so elegant?

EDIT: Video here: http://www.youtube.com/watch?v=iqYxapqpr3w

Pantazis

PS. This is the highest dimension Graphidron I have done to date. And since I have used
all the antennas from the cars and radios I found in my suburb, please bear with me until
I change home! (On a more serious note, I may post some 3D designs at some stage)

Last edited by kastellorizo on Thu Jul 29, 2010 11:40 am, edited 1 time in total.

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 Post subject: Re: Argo, a puzzle based on the 6D symmetry of the 6-simplexPosted: Thu Jul 29, 2010 11:24 am

Joined: Tue Jul 13, 2010 12:50 pm
What is with you and breaking the universe? YOU NEED TO STOP IT!

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 Post subject: Re: Argo, a puzzle based on the 6D symmetry of the 6-simplexPosted: Thu Jul 29, 2010 11:34 am

Joined: Tue Jan 05, 2010 5:43 pm
Location: under the "z" key
Arkanoid0 wrote:
What is with you and breaking the universe? YOU NEED TO STOP IT!

NOOO! IT IS BROKEN!

Wow! That puzzle looks amazing! It confuses me. That's maybe because it's a 6D figure in a 3D world.

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 Post subject: Re: Argo, a puzzle based on the 6D symmetry of the 6-simplexPosted: Thu Jul 29, 2010 11:39 am

Joined: Fri Nov 04, 2005 12:31 am
Location: Greece, Australia, Thailand, India, Singapore.
Ooops! I forgot to give the video link!

Pantazis

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 Post subject: Re: Argo, a puzzle based on the 6D symmetry of the 6-simplexPosted: Thu Jul 29, 2010 12:15 pm

Joined: Thu Sep 24, 2009 12:21 pm
Location: Chichester, England
Wow! Looks great! How many more of these more-than-3d-puzzles do you intend to build?

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3x3x3 average of five: 8.92 seconds.
3x3x3 average of twelve: 9.77 seconds.

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 Post subject: Re: Argo, a puzzle based on the 6D symmetry of the 6-simplexPosted: Thu Jul 29, 2010 10:45 pm

Joined: Fri Nov 04, 2005 12:31 am
Location: Greece, Australia, Thailand, India, Singapore.
SEBUVER wrote:
Wow! Looks great! How many more of these more-than-3d-puzzles do you intend to build?

99% of them were built months ago. The 1% goes to repairing the damaged ones from mishandling by others LOL
I believe I should make one more for the Pyramus puzzle (Tetrahedral Prism) as it is a very neat one.

I am already in the stage for the new generation ones. Let us see how that goes.
These days I am catching up with too much non-puzzle work (lectures, research, MindStrat, etc).
But I love all those "jobs" so don't be surprised if I find the energy and time for more!

Pantazis

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 Post subject: Re: Argo, a puzzle based on the 6D symmetry of the 6-simplexPosted: Fri Jul 30, 2010 12:45 am

Joined: Tue Feb 16, 2010 12:15 pm
Location: Sandnes, Norway
I'm not surprised, I was actually expecting this one. Unlike the Pegasus, the goal of this is much clearer, at least on first sight, as you say it is possible to mix up the different colors. Though this wasn't a surprise, I'm still quite amazed and I like it

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