I think that this is an excellent documentation for full bracket notation, but for two or three quibbles.
One is a typo: in the paragraph on Burning, you say "color" instead of (the first time of) "colon." Also, I'd wonder whether directly backwards is part of the default, or would have to be added.
Second, while that's a dead-on explanation of a as used in this context. I think it's worth mentioning that a(b) or ab can be used for any direction including exactly backwards. (My experience is that for former works, but not the latter.)
About planar moves: This needs a clearer explanation of what a planar move is. Besides being convoluted (for brevity, no doubt; "Hello, Mr. Kettle"), the description there doesn't match up with the explanation that I recall being given to me. Also, this might be a better use of & (as referred to in another Comment) as being both more visible and (arguably) more intuitive than ..
PS: The Ubi-Ubi as (a)N is pretty simple, though it does seem to overwhelm the system (at least, on my computer, which is particularly powerful).
I think that this is an excellent documentation for full bracket notation, but for two or three quibbles.
One is a typo: in the paragraph on Burning, you say "color" instead of (the first time of) "colon." Also, I'd wonder whether directly backwards is part of the default, or would have to be added.
Second, while that's a dead-on explanation of a as used in this context. I think it's worth mentioning that a(b) or ab can be used for any direction including exactly backwards. (My experience is that for former works, but not the latter.)
About planar moves: This needs a clearer explanation of what a planar move is. Besides being convoluted (for brevity, no doubt; "Hello, Mr. Kettle"), the description there doesn't match up with the explanation that I recall being given to me. Also, this might be a better use of & (as referred to in another Comment) as being both more visible and (arguably) more intuitive than ..
PS: The Ubi-Ubi as (a)N is pretty simple, though it does seem to overwhelm the system (at least, on my computer, which is particularly powerful).