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Good stuff, Joel!
I love how your method is quite different than Bob Hearn's, focusing on
commutators.
If you have a chance, it would be great if you could share a video of
either a complete solve of yours, or perhaps just the last couple of
commutators as you finish up.
Since you and Bob both seem to like the vertical setup, I thought I'd
better try it. In this video, I show how the two different "standard
positions" I propose, horizontal and vertical, correspond to the same
MC4D state.
20 horiz vs vert 1m28s https://youtu.be/ljP5648dcx8
It's nice how the two versions of the standard position differ by a FOro
(a clockwise 90 degree front-out rotation of the 4D puzzle) and then
upending the puzzle with a counterclockwise 90 degree rotation of the
whole puzzle in 3-space around the F-B axis. It seems appropriate that
two "sorta opposite" rotations of different types, in sequence, gives us
a "sorta identity".
I've attached my custom colors file for MC4D that matches the display,
in case anybody wants it. I like to be able to match MC4D and physical
puzzle states precisely. To use it, drop the facecolors.txt file into
the same folder as your mc4d.jar .
Cheers
Marc
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Hello,
I'm planning to post a more detailed solution of the physical 2^4 but
to do so I need some notation. I understand that my previous post on
notation was too long and too complicated. Luckily, I have since
realised that a simpler notation is sufficient but before I introduce
it I need some input from you. What coordinate system do you prefer?
It would be great if we could decide on one coordinate system and then
use that as a convention. Personally, I think that the coordinate
system should be right-handed but besides that, I can use pretty much
any. Two great alternatives are (for the positive half axes):
x-right, y-away from yourself, z-up
x-right, y-up, z-toward yourself
What do you think?
Best regards,
Joel