I've been thinking about this for the past couple of days on how to collect efficiently. What that means is collecting puzzles based on different solving experiences and not breaking the bank. An example would be a super 5x5, it solve like a regular 5x5, solve like a super and regular 3x3. Therefore, for one purchase you gain 4 solves. Yes, technically every puzzle is solved with commutators so I guess it also includes perspective in a puzzle.
Because I only have 10 twisty puzzles, I had to do some research and I have come up with a list and I want to see if you all agree or can improve on this list. I did not use shapeways products or hand made twisty puzzles because I did not want feelings to get hurt over me using puzzle A over puzzle B. Also there are no bandaged puzzles because that simply requires imagination and duck tape lol. As for super stickers, if the puzzle came with super stickers then yes and they all had to be mass produced.

1.) Super 4x4 & 5x5: As stated above, it solve like a regular 5x5, solve like a super and regular 3x3, and of course 5x5's can't solve like 4x4's you need a super 4x4.
2.) Circle 4x4 I & III: Version III can solve like version II if you ignore the circle corner pieces and also can solve like a Circle 3x3.
3.) Circle 3x3x(4 & 5): the 3x3x5 in proportional cubies so that the cubies slide over the stickers. A 3x3x2 can be mocked with the 3x3x4 and anything in higher order is trivial.
4.) 3x4x5 & 4x4x6: one is a brick and the other is a shapeshifter and you can simplify down to easier cuboids.
5.) 4x4x4 Mixup Cube: You are able to reduce it down to a 3x3x3, 4x4x3, and 3x3x4.
6.) Helicopter Cube: Jumbles, and is slightly harder than the curvy copter since the edges act as sort of a map on the curvy copter.
7.) Master Skewb: Can be solved like a regular skewb
8.) Professor Pyraminx: the master should not have any additional challenges the professor has and depending how you think, it's reduces to a pyraminx or a jing's pyraminx.
9.) Square-2: Can be solved like a square-1
10.) Bauhinia dodecahedron: harder than a dino and rex cube but can be reduced to both.

I have a couple of thoughts.

A 6x6x6 can simulate a 2x2x2, 3x3x3, 4x4x4 and 5x5x5. I'm not sure if super stickers are available for one or not but if they are they'd make the 6x6x6 even more versatile.

The Crazy III is a superset of the crazy I so you only need the III.
It would be hard to use a Square-2 to simulate a Square-1.

You can't reduce it to either. The Dino Dodecahedron offers very little more than the Rex Dodecahedron so skip it but you can't get the Rex Cube experience on the Rex Dodecahedron.

I'd add the Dayan Gem (probably II and III) to the list as well as a Megaminx.

They are, and I have one.




No such thing.

-Doug

6x6x6 is great. It can also simulate 2x2x1, 2x2x3, 3x3x1, 3x3x2, and so on .....

Haha as I said, probably not the best person for this post .


you could simply ignore the now sliced corners as a move correct?


I feel like adding a megaminx is a bit overkill since the solve is like a 3x3, but I guess if you use Roux method then yes. That being said, I suppose the Master Kilominx should be in the ranks as well?


Wow, that was meant to be 4x4x4 mixup plus lol

While this is sort of the case, the Curvy copter has an additional parity in which two edges may be switched.

-d