Logic Masters Deutschland e.V.

C'est ici, la pièce de résistance. The rules text to difficulty ratio is a bit much on this one lol. Probably not going to add any more to the series, but definitely still making puzzles. College move-in day is tomorrow and the city is known to be a bit dangerous. If puzzles come to an abrupt stop, I'm sorry ¯\_(ツ)_/¯

Letter Series:
ABABA
ABBA
BBABB
AB Squared
Triangular Letters
Now I Know My ABCs

Rules:
Place 4 As, 3 Bs, and 2 Cs in every row, column, 3x3 region, and the positive diagonal.
Letters along slow thermometers (light grey lines with bulbs) are sorted in alphabetical order from the bulb end.
The sequence of letters along thin darker grey lines must read the same forward and backward.
Letters along red lines must alternate between A and B.
Letters along blue lines must all be the same.
A appears once at most on orange lines.
Cages contain the same exact pattern of letters (without rotation or reflection). Other 2x2 areas with the same pattern may exist within the grid.
The sum of the square of the number of As on one leg of the green triangle and the square of the number of Bs on the other leg must be equal to the square of the number of Cs on the hypotenuse. In other words, the triangle must satisfy this equation: (As on one leg)² + (Bs on other leg)² = (Cs on hypotenuse)². Letters on vertices count as part of both adjacent edges.