Using the relationship [A=1, B=2,..... Z=26] provide a word for each tier of the triangle such that:
1. The letter sum per tier is the largest square possible.
2. The letter sum per tier is the smallest square possible.

While being squares neither SEA = 25 nor OAT = 36 are appropriate for tier three in either of the tasks #1 or #2 above.

Are you able to extend either triangle beyond 6 tiers?