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Description
There are five full self-symmetries/congruences at the largest scale; four centered in each quadrant and one at center which overlaps each quadrant. Each is 1/3 * 1/3 of the size of the full pattern.

At the next largest scale, there are 37; 5 * 5 plus 3 on the outside edge of each of four quadrants.

At the next, there are 261, if I counted correctly.

How many are at the next scale?

Description
There are five full self-symmetries/congruences at the largest scale; four centered in each quadrant and one at center which overlaps each quadrant. Each is 1/3 * 1/3 of the size of the full pattern.

At the next largest scale, there are 37; 5 * 5 plus 3 on the outside edge of each of four quadrants.

At the next, there are 261, if I counted correctly.

How many are at the next scale?