Message #3819

From: Marc Ringuette <>
Subject: Re: [MC4D] Melinda’s physical 2^4 puzzle, full puzzle rotations
Date: Fri, 17 Nov 2017 11:38:56 -0800

On 11/16/2017 2:22 PM, ‘Eduard Baumann’
[4D_Cubing] wrote:
> BIG question. Is it possible to change the two "inverted" colors by
> simple moves?

Hi, Ed,

I think you’re asking about what Melinda calls a full-puzzle rotation.  
Yes, this is key to being able to solve the full 2^4 puzzle in the same
way on both the virtual and the physical versions.   You can use either
of these two move sequences to do it.

Melinda’s new video of her classic FOro:
Marc’s alternative FOro using the ROIL moveset:

I call the result of these sequences FOro, because they both correspond
to the single click MC4D move that is a Front-Out ROtation.

Here’s an old video of mine, cued up to 2:30 where I demonstrate
Melinda’s classic FOro while I carefully keep the puzzle oriented on a
desk.   At the end I show the MC4D equivalent of the rotation I just did
(at about 3:25 of the video).

I wonder who is going to be the first person to solve the physical 2^4
puzzle?   It’s not me, yet.   I’ve been waiting for more people to have
the puzzle before I get back to trying to solve it.  I’ve come up with a
3-cycle algorithm, though, so that’s a good start.  I also have a long
solution to the "double twisted corner" problem, I think, but I really
want to come to a more thorough understanding of the 12 orientations of
the 4-color pieces of a 4D hypercube.

A good milestone will be when somebody generates an MC4D scramble, sets
up that position on their physical puzzle, and then solves it on the
physical puzzle while following along with MC4D, resulting in both
puzzles being solved.


p.s.  here’s a collection of my relevant videos of the physical 2^4
puzzle, so you don’t have to dig for them.  I’ve omitted the ones that
use the deprecated (parity violating) quarter puzzle moves. These are
still marked "unlisted" in YouTube, at Melinda’s request, until her
Public Release (TBD).   These vids are not fantastic quality, but
they’re what I’ve got.

2 over the shoulder intro v3
3 special rotations FUro and FOro
4 overlap of natural moves
07a a 3 cycle on phys 2^4
07b same 3 cycle on mc4d
12 ROIL moveset intro
13 ROIL version of FOro
14 ROIL scrambling
15 ROIL strict subset vs macro equivalents
16 ROIL meaning of junctions out positions