Square size is gem grade. Orange gems are pure orange, black pure black, green mixed o/b - not poison. You read it wrong it isn't 1+1=1+6=1+1,7 but 1+1=6; 1+6=7, 1+7=8 and these corner squares are just gems you've mixed in before.
As Ahuizotla said he might not have too much time and found the representation not so easy to understand, I've played around a bit and got this (32-killgem):
What do you think of it?
Edit: There's a mistake, I just realised (second line from top, the result would be a G4 so I would have to change the order of combining there)
I tried to make it possible to always combine from left to right. I thought that might result in less complexity. Not sure if I was right about it ... - feel free to comment
noway, not handmade I made it with adobe illustrator .... nice that you like it. Shall I try for the other ones too, then? For the 16-combine it will be less obvious, as the silhouettes won't be able to represent the actual G-value. But I could play around a bit, it's fun.
This would be the 32 Managem with R in it. Didn't really think too long about where would be the best place to put it in .... - psorek? Did you calculate that or doesn't it matter too much?
Thank you for your excellent work, cronos51! For some reason I could not make sense of previous explanations of psorek's method of combining gems. Your diagram has made it clear to me.
May I suggest to move 7 (B/Y-scheme) and 10 (B/Y/R-scheme) to the left (ie. '12=7+...' and '13=10+...'? It would avoid to have two different '2's on the field at the same time if you follow the orders step by step (fewer sources for messing the thing up ).
now noone can say he does not get the formula. really good work. i still don't know why the gems get so much better, but i played a game were i created a grade 5 gem out of 3 g4s (R,Y,B) and after upgrading to grade 9 it had something like 25% chance of 5 damage* (or so) while when creating with psoreks(?) method using 8y g1s, 6b g1s and 2r g1s (the 16 gem method) for the first g5 the later grade 9 gem had 80% chance of 12x damage (i don't recall the exact numbers). impressive. could also have been grade 10, but the difference is enormous anyway.