Delta function

\(\Delta(n)\), \(\delta(n)\) (or CB(n)) are all part of this uncomputable functionMumuji, penguin-number-123.
==Definition==
The maximum sum of n-1’s that can be written (in the finished plane), with n state and a n colour halting Turing machine. Note that we do not use a tape but a Plane. As well as that, we allow for movement in 8 directions. Up, down, left, right, up right, up left, down right, down left.
==Augmented CB(n)==
Also called \(\Delta(n)\) It should be more powerful. 
Definition
The maximum sum of all nonzero numbers that can be written (in the finished plane), with a n state and a n colour halting Turing machine. Note that we do not use a tape but a Plane. As well as that, we allow for movement in 8 directions. Up, down, left, right, up right, up left, down right, down left.
==References==
Category:Numbers and functions by Mumuji
Category:Uncomputable
Category:Article stubs
Category:Functions