>>5010 great PMA, am also looking at some mod values, and the f, see examples. Next going to look at how the 2d-1 fills in to take space for the n-1 block.

>>4681

>Try this group:

>odd e, even d, odd (x+n)

>From the smallest upwards incrementally.

>Notice any patterns with f?

For this group:

The (1,c) and prime records are in the same group (odd e, even d, odd (x+n))

n always EVEN, X alway ODD,

f is identical for (1,c) and prime records

d is identical for (1,c) and prime records

e is identical for (1,c) and prime records

fMOD8 and (f-2)MOD8 are identical for (1,c) and prime records

the (1,c) and prime records are in the same group (odd e, even d, odd (x+n)) with same mod value

fMOD8=2,6

(f-2)MOD8=0,4

>>5008 Very interesting CA. Seems you've found something of interest!

>>5012

Haven't seen a match/pattern yet. Was working through the (n-1) triangle cap piece.

>>4678

Did get the "fill area" to check out. Left side has the pieces, just by taking the chunks visually and comparing to the 2d(n-1):

(d+n)^2-d^2-n^2+1-e-f=2d(n-1)

Then, the box with the red 2d(n-1), f, and n^2-1 was tallied, and this is indeed (x+n)^2 for the odd group. We can see some fractions for the Even cases, so will have that to address in part 3b.