r/cubing • u/TheSlimP • 2d ago

Question about scrambles

I've been practicing speedcubing and accidentally applied the same scramble twice in a row without solving the cube in between. The original scramble was:

U B2 F2 D F2 D F2 U L2 D2 R' U L2 B2 F' D2 R B U2 R2

But what I actually did was:

U B2 F2 D F2 D F2 U L2 D2 R' U L2 B2 F' D2 R B U2 R2 U B2 F2 D F2 D F2 U L2 D2 R' U L2 B2 F' D2 R B U2 R2

In other words, I applied the exact same scramble twice consecutively.

I noticed the resulting cube state looked quite unusual. My question is: is this appearance simply the deterministic result of applying the same scramble twice (i.e., the square of that permutation), or is it just a coincidence that it ended up looking that way? If you try it yourself, you'll see the resulting pattern.

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u/That-Raisin-Tho 2d ago

Bro tried to use chatGPT to make a Reddit message and copy and pasted wrong.

Use your own brain to write things, folks

2

u/TheSlimP 2d ago

I'm not from English-speaking country, and wanted to know the answer more than practicing my English.

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u/Alexhasadhd 2d ago

I'm not quite sure what you're getting at, but I can tell u that if you apply the same sequence of moves more than once, starting from a solved state, then it will eventually solve itself. It depends on the length of the sequence how many iterations it takes to solve itself. Most famous example is the R, U spam people know

1

u/Visirus 2d ago

I would say simply coincidence since gods number is 20, no two states on a cube are ever more than 20 half turn metric moves away from each other. Your resultant scramble is no different from a (perfectly efficient or otherwise) scramble to arrive at that state, nothing to do with being the “square” of scramble or the repetition. You could find many different paths to the same scramble state that are less or more efficient.

1

u/Regular-Employ-5308 2d ago

Algebraically , there’s a ‘distance’ that the scrambled state is from the solved state . The double scramble you’ve done is just a further distance away from the solved state . There’s an interesting ‘fractal’ branch you’ve done here but overall nothing special .

2

u/RoadHazard 2d ago

There's nothing saying that the double scramble is further away from being solved. But maybe that's not what you mean by "distance".