Consider the 2D region:

|...|1  1  1  1  1|1  1  1  1 -1|1  1  1 -1 -1|1  1 -1 -1 -1|1 -1 -1 -1 -1 ...+---------

Ie, we have a "diamond" of 1s:

|...|* * * * *|* * *|* * *|* *|*+---------