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#1

Hey guys, I was up all night last night wondering about this thing, I wonder if anyone can shed some light on this. It seems that for the majority of all steps there are a total number of cases which is a multiple of 3. For example:

Basic CFOP:

21 PLL cases, 21 is a multiple of 3.

57 OLL cases, 57 is a multiple of 3.

42 F2L cases, 42 is a multiple of 3.

More advanced methods:

306 ZBF2L cases, 306 is a multiple of 3.

1212 LL cases, 1212 is a multiple of 3.

For MGLS:

21 ELS cases, 21 is a multiple of 3.

104 CLS cases, which admittedly is

For COLL:

40 cases, again not a multiple of 3.

But the curious thing, I think, is the OLL, PLL, and Full LL. Looking at these three steps independantly I thought it was very strange that they should all be multiples of 3. Why do you suppose that the last layer behaves this way?

Of course, you also have to take into account the 'solved' case for each of these, which makes them not multiples of 3... AAAARGH!!!

Am I on to something, or am I way off? What do you think?

Basic CFOP:

21 PLL cases, 21 is a multiple of 3.

57 OLL cases, 57 is a multiple of 3.

42 F2L cases, 42 is a multiple of 3.

More advanced methods:

306 ZBF2L cases, 306 is a multiple of 3.

1212 LL cases, 1212 is a multiple of 3.

For MGLS:

21 ELS cases, 21 is a multiple of 3.

104 CLS cases, which admittedly is

*not*a multiple of 3.For COLL:

40 cases, again not a multiple of 3.

But the curious thing, I think, is the OLL, PLL, and Full LL. Looking at these three steps independantly I thought it was very strange that they should all be multiples of 3. Why do you suppose that the last layer behaves this way?

Of course, you also have to take into account the 'solved' case for each of these, which makes them not multiples of 3... AAAARGH!!!

Am I on to something, or am I way off? What do you think?