I named this because I want this to be as big as BEAF. You may have heard "Beef or Chicken?" n times in airplane. From now on, you will have heard it n^n times in Googology.
This notation is n-dimensional because BEAF is.
Definitions of words:
Grass is a number.
Grass field is a n-dimensional array of numbers.
mDkn is "n-dimensional W cube with the length of m filled with k."
mDn is mDmn.
Note: Chicken is always read from right to left.
How to calculate:
Count steps every time. This is really important. Let step number n:
If the last is 0, remove it (just removing takes one step).
If the last is a(non-zero), remove it and place n (a-1)'s.
If the last is bracket a(k), remove a and put aDnk.
Examples:
0. 3,3
1. 3,2 (take the last 3 and put a 2)
2. 3,1,1 (take the last 2 and put 2 1's)
3. 3,1,0,0,0
6. 3,1 (zero is just removed and puts nothing)
7. 3,0,0,0,0,0,0,0
14. 3
15. 215
16. 214116
1 is the same as W in grass hydra, so
around 2^20(=16*2^16). 214
around 2^20. 21312^20
That makes tetration. This example is one-dimensional, but chicken can be higher dimension.
0. 3(1)2
1. 3(1)1
2. 3(1)0,0
4. 3(1)
5. 3,3,3 (the second row is removed (nothing))
and so on.
Now, I put ordinals into bracket:
0. 2(w)2
1. 2(w)1
2. 2(w)0,0
4. 2(w)
5. 2D55