DonQuixote
Regular
I think by answering to qqwref I'll answer most things that came up here in this thread.
There is no easy way to describe a 180-degree turn? As you've already written, it's 33 (and as easy as it gets, with standard notation it would be L2, same string length). But 33 and 44 are not equal (in their execution).
If one would expand the notation it wouldn't be a problem to describe a sequence done multiple times. (1728 2516)[2] etc. just be creative.
Maybe by pairing opposite faces mirror sequences could be detected easier for all faces, I'd have to check on that.
The main point in introducing the Swiss notation was to get rid of the quote signs, thus shortening the sequence a bit as every basic turn (and those appear quite often) is described by one sign only.
For instance, while performing the sequence, you aid yourself by saying, lets say, "five two six one seven one eight two". You still think in terms of fingertricks and cube moves. In later stages you can recite the number sequence if you get stuck while performing it
Naturally, people are very conservative when it comes to trying new things. Unless one does not try the Swiss notation, one does not have an idea what its advantages really are. I'm not badmouthing the standard notation. If you wanna try something different, do it. If not, don't.
From experience I can say that everybody who has tried this notation long enough loved it.
If one has some good ideas on changing to notation, I'd be glad to discuss them and improve the Swiss notation. Just send me a mail or something.
Kind Regards (and a thousand pardons for any grammatical errors etc.)
Martin
I can't quite see why it's silly that 444 and 3 are equal in their result. R' and RRR are the same, too.1) ...Why are 444 and 3 the same, or 44 and 33? ... You don't seem to have any easy way to describe a 180-degree turn, either. And if you use numbers, how do you describe a sequence that is done N times, except by actually writing it out N times? ...
There is no easy way to describe a 180-degree turn? As you've already written, it's 33 (and as easy as it gets, with standard notation it would be L2, same string length). But 33 and 44 are not equal (in their execution).
If one would expand the notation it wouldn't be a problem to describe a sequence done multiple times. (1728 2516)[2] etc. just be creative.
I never thought about it that way, maybe because I did not expect any kind of order or consider it important. I agree, the natural numbers got an order, but faces on the cube do not.2) There's no real order in the faces you chose. It's R L F U B D - why? R and L are opposite but F and U (and B and D) aren't. ...
Maybe by pairing opposite faces mirror sequences could be detected easier for all faces, I'd have to check on that.
Because we use a number system to the base of 10, not 12.3) What are the x and y doing there? Those aren't numbers.
The main point in introducing the Swiss notation was to get rid of the quote signs, thus shortening the sequence a bit as every basic turn (and those appear quite often) is described by one sign only.
Same as point 2. The important thing was to cluster even and uneven numbers. And most people (who are not computer programmers) tend to start counting from 1, not 0.
4) Isn't 0 a smaller number than 1? Or am I missing something?
Well, if you learn sequences with the Swiss notation, you don't memorize them by notation. That what most people get wrong. It's basically a mnemonic helping you learning and performing the sequences you need.5) I don't memorize algorithms by the notation and I never have (and I think maybe that is holding you back). As Ethan correctly points out, everyone fast learns algorithms either by watching how the pieces and blocks move around or by muscle memory (fingertricks). ...
For instance, while performing the sequence, you aid yourself by saying, lets say, "five two six one seven one eight two". You still think in terms of fingertricks and cube moves. In later stages you can recite the number sequence if you get stuck while performing it
Naturally, people are very conservative when it comes to trying new things. Unless one does not try the Swiss notation, one does not have an idea what its advantages really are. I'm not badmouthing the standard notation. If you wanna try something different, do it. If not, don't.
From experience I can say that everybody who has tried this notation long enough loved it.
If one has some good ideas on changing to notation, I'd be glad to discuss them and improve the Swiss notation. Just send me a mail or something.
Kind Regards (and a thousand pardons for any grammatical errors etc.)
Martin