Magic 3D Hyperbolic Tile 633 parity

[Djair Maynart]

Hello, hypercubing group! 

I’m Djair Maynart and this is my first post here. I’ve been hypercubing for a few months now and I want to talk about a puzzle I have solved recently that has some interesting properties. I’m talking about the Magic Hyperbolic Tile {6,3,3}. It’s actually possible to have only one 3-colors piece twisted 180° and only one 4-colors piece twisted 120°.

Green, red and yellow 3-color piece twisted

Red, blue, black and brown 4-color piece twisted

I discovered that I was not the only person who got this case when I read the comments on Charles Doan’s vídeo. The only way I have found to fix this is by clicking the twisted piece to turn it around itself and then reinsert all the previously solved pieces back. I don’t fully understand what makes this case possible in this puzzle and I would be interested to see if anyone can figure out another easier way to solve this parity. I'm sending my log files from when I stumbled upon these cases in the 14 colors version of this puzzle to anyone who wants to take a look into it. 

Nonetheless, I encourage anyone who hasn’t tried this puzzle yet to give it a shot. Not many people have solved it and I consider it to be very underrated. Don't let its hyperbolic nature or this tricky parity case scare you. You can do it!

Best regards,

Djair Maynart