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hi.
. . . Code:****** *****            ****** ****  *   **** ** **       ***  ** **  ***         *** ***** Code:** *** **        *  ** *  ** **  **          *  *  * **  * **  **         *** *** ** *** ** ***         **  ** *  ** **  *         *  ** **  ** *  **              ** *** *** Code:**** **       **  ** *  *     *  * *  ***       ** ****
Oh my, my 2nd to last and 3rd to last drawings of 12, I didn't show the mirror images, so
Here is my latest computation of the 5 neighbors on a chessboard 8 by 8:
Also, my estimate is a little high because I did 5x5 grids with straight lines inside them moving around, and
These are all the shapes that can be made by sticking five squares together. Code:XXXXX (5x1, 2)  XXXX (4x2, 8) X  XXXX (4x2, 8) X  XXX (3x2, 8) XX  XXX (3x2, 4) X X  X XXX (3x3, 4) X  X XXX (3x3, 8) X  X XXX (3x3, 4) X  X XXX (3x3, 1) X  X XX (3x3, 4) XX  XXX X (3x3, 4) X  XXX (4x2, 8) XX Next to each is the dimensions of the smallest rectangle it will fit into, and the number of different forms it can take via reflection and rotation.
I did it out by hand.
Hi all, 