This is a puzzle using four dimensional symmetry which is a cube with all the antipodes connected.




Video here (a am standing a bit far though):
http://www.youtube.com/watch?v=XA8oqLun3QI

In the video, the front side has a yellow color square and the back side has a red colored square.
Some of the antipodes and edges are colored blue and and some are black. In this puzzle, I demonstrate
how to exchange the yellow and red edges with the black and blue ones.


The video is taken at Kastellorizo island during a (relatively) busy and hot day. The result is fairly comical,
as I am interrupted many times by the locals and a very cute and persistent kid who loves fishing!!!


It looks a *lot* like the Houlis Cube, but if you see closely, it is very different. As puzzle, it is tough,
as it tangles more than other ones.




Pantazis

Looks great. How many of these 4D style puzzles do you intend to have/already have made?

I love all of these puzzles. Excellent work.

Well, in graph theory, the possibilities are endless!
(which is why I call those designs as "Graphidrons")
As long as I do not run out of materials, I will always come up with new.

There are the regular ones which are more attractive and efficient.
Then there are other ones based on well known structures, etc etc etc.

But at the moment, I am first targeting the most symmetric graphs.
Remember, my Master's Degree was on Algebraic Graph Theory, so these
structures are very familiar to me.

Finally, be prepared for the revelation for some more puzzles, based on
higher symmetry than 4D!!!




Pantazis