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.
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
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)