The Chronos Puzzle, based on the 5-cell symmetry (competition version)

http://www.24cell.net This is based on the 4D structure known as Pentachoron (i.e. five tetrahedron spaces). Any of the ten edges can move to the middle of the triangular dipyramid projection. It is a testament to the four dimensional symmetry that this puzzle has.

This version was the one which was part of the IPP International Puzzle Design Competition. A demo is shown with some of the possible 3D projections of the 4D equivalent.

The puzzle is to place all the ten different colors in the middle (by using the 4D symmetry move) but during this process, without going through the same color twice! If that sounds easy, think again, as when related to the edge in the middle, there is not one, but two types of edges. The six ones at the top and bottom can exchange directly with the middle one, but the three at the central row need more than that! So there can be "road blocks" if not careful.

By definition, more puzzles can be defined based on the very same structure, by just using a different 3D projection. I have an "easier to show" puzzle idea based on two colors for the Pentachoron. So it can be regarded as many 3D puzzles in one! :-)

Category:

Education

Tags:

• 4D
• fourth dimension
• four dimensionsal
• flatland
• flatliners
• symmerty
• pentachoron
• Chronos
• time-space
• 24-cell
• tesseract
• hypercube
• 16-cell
• Pantazis Houlis
• Cubedron
• Aquadron
• Puzzle Ninja
• MindStrat

[Muvlonion]

pfffffff let me see a 120-cell

[kastellorizo]

@Muvlonion LOL! Well, I have designe one based on the 24-cell, and that looks impressive already! :-)

[MacManRay]

Really is impressive Pantazis, I like it very much.

[kastellorizo]

@MacManRay Thanks! :-)

[Charfield]

Wow! Mindblowing!

[BioCryo]

That may just be too awesome. You're a really talented puzzle designer... Or whatever that is designed. =O