Hello, I just 'bout finished the Graham Array Notation and is thinking of merging the Psi Notaition and this one. This the complete version. We finished at rule 5, so heres rule 6 and beyond. I know it's not good to just think of a bunch of undeveloped notations but as for the Psi notation and this, I want to extend them to their fullest.

- means the rest of the array, or just an array.

Rule 6 : [a,b,c,d,e] = [[a,b,c,d],[a,b,c,d],e]

Rule 7 : [a,b,c,d,e,f] = [[a,b,c,d],[a,b,c,d],e,f]

Rule 8 : [a,b,c,d,e,f,g] = [[a,b,c,d,e,f],[a,b,c,d,e,f],g]

Rule 9 : [a,(b)] = [a,[a,(b-1)]]

If I am right, Rule 9 is about a^^b+2

Rule 10 : [a,b,(c)] = [a,b,[a,b,(c-1)]]

If I am right, Rule 10 is about [a,b,b,c+1]

Rule 11 : [#,(a)] = [#,[#,(a-1)]]

Rule 12 : A 2-dimensional Array of a,b (If you can imagine it, I can't wikitext) like would be [a,b]^[a,b]. We will get to the ^ later on.

EDIT : Dimensional Arrays are like...... welll.....

2-Dimensional arrays are multi-rowed arrays. These are done by [a<2>b]. That would be a two-row aray. (I can't use wikitext). It's like BEAF. If [a,<2/n>b], that would be a n-row array. As we said, arrays are connected by the ^.

3-dimensional arrays are cubic arrays. These are 2-dimensional array connected by ^'s. If [a<3/n>b], like 2-dimensional arrays, these would be a n-row array piled up in 3-dimensional space n times, connected by a ^.

This is the same for n-dimensional array, n-1 dimensional arrays connected with a ^. If [a<n/m>b], that would be n-1 dimensional arrays with the side lenght m for all dimensions.

May be a little tricky to understand. Please imagine BEAF's arrays as an example.

Rule 13 : [a^b] = [a,a,a,......a,a] (b times)

Rule 14 : [a^^b] = [a^a^a^a......^a^a] (b times)

Rule 15 : [a{^}b] = [a^^^......^^^b] (b ^'s)

Rule 16 : [a{[^}}b] = [a{^}a{^}a{^}a......{^}a{^}a] (b times)

Rule 17 : [a<c>b] = An c-dimensional array of [a,b] (BEAF's a^{b} & c)

Rule 18 : [a<c,d>b] = An c-dimensional array of [a,b] with the side lenght d, counting the array as a lenght of 1.

Rule 19 : Any array can be (c)-ed, be multidimensional, and so on

Rule 20 : [a,b]_{c} = [a{{{...{{{^}}}.}}}b] with c {}'s.

Rule 21 : [a,b/c] = [a,b]_{c}

Rule 22 : [a,b/c,d] = [....[a,b,[a,b,[a,b]_{c}]_{c}]....] with d []'s

Rule 23 : [A,b] = [b,b/b,b]

Rule 24 : [A,b]_{3} = [b,b,b/b,b]

Rule 25 : [A2,b] = [b,b/b,[b,b/b,b]]

Rule 26 : [An,b] = [b,b/b,[b.......[b,b/b,[b,b/b,b]].......]] with n []'s

Any minor to major feedback/weaknesses/doesn't work senarioes are welcome!

Please note that [a{^^}b] is NOT a valid operation