Shape-Shifting Cube States With The Most Surface Area

[Cyrus C.]

Can anyone provide a way to figure the state of a shape-shifting cube that has the most surface area, without using guess & check? Let's use the Fisher's Cube as an example.

 

[Ranzha]

Superflip + 90deg twisted corners + Pi OLL on U and D.
That's what I think.

 

[InfernoTowel]

Superflip + 90deg twisted corners + Pi OLL on U and D.
That's what I think.

That's for a Fisher Cube, yeah, but he wants a way for ANY shapeshifter.

 

[Cyrus C.]

Would a formula that works for any shape-shifting cube even be possible?

 

[InfernoTowel]

Would a formula that works for any shape-shifting cube even be possible?

...
...
No, I don't think so.

 

[Ranzha]

I don't necessarily think there is a correlation between minimum surface area (like cubeshape on a Fisher or Sq-1) to maximum surface area. The max surface area on a Sq-1 is less than the max surface area on a Fisher Cube, assuming they have the same surface area solved (and thus, same dimensions).

 

[InfernoTowel]

I don't necessarily think there is a correlation between minimum surface area (like cubeshape on a Fisher or Sq-1) to maximum surface area. The max surface area on a Sq-1 is less than the max surface area on a Fisher Cube, assuming they have the same surface area solved (and thus, same dimensions).

Yeah, this is true, because the way the puzzle works turns pieces differently, etc.

 

[Ranzha]

I don't necessarily think there is a correlation between minimum surface area (like cubeshape on a Fisher or Sq-1) to maximum surface area. The max surface area on a Sq-1 is less than the max surface area on a Fisher Cube, assuming they have the same surface area solved (and thus, same dimensions).

Yeah, this is true, because the way the puzzle works turns pieces differently, etc.

My point exactly.
In the same way, there is a difference in max surface area of a normal domino and a crazy domino.

 

[Cyrus C.]

Would all 3x3x3 shapeshifting cubes have a relationship?

 

[TrollingHard]

I would say that if more pieces jut out, then there is more surface area.


It's like dividing a 2x2x2 cube (SA 24 units) into 8 1x1x1 pieces (SA 48 units)

 

[Ranzha]

I would say that if more pieces jut out, then there is more surface area.


It's like dividing a 2x2x2 cube (SA 24 units) into 8 1x1x1 pieces (SA 48 units)

That's based on the claim that all of the pieces are the same size.
Which, to be frank, they're not.

Replying to Cyrus's question, I don't think so.
If a Sq-1 counted as a 3x3x3 shapeshifting cube (no centres, and a bandaged middle layer, but with shapeshifting abilities), then the max surface area of a Sq-1 would, imo, be different than the max on a Fisher.

 

[Cyrus C.]

I would say that if more pieces jut out, then there is more surface area.


It's like dividing a 2x2x2 cube (SA 24 units) into 8 1x1x1 pieces (SA 48 units)

That's based on the claim that all of the pieces are the same size.
Which, to be frank, they're not.

Replying to Cyrus's question, I don't think so.
If a Sq-1 counted as a 3x3x3 shapeshifting cube (no centres, and a bandaged middle layer, but with shapeshifting abilities), then the max surface area of a Sq-1 would, imo, be different than the max on a Fisher.

I meant puzzles that were just modifications of a 3x3x3. Bump Cube, Fisher's Cube, etc.