Perplex City - We Love Puzzles

Looking at the puzzle logically i can see 5 different types of square. The 'normal' ones, of which i can count 63 (also stated in the question).

Then the diamond ones. I get 2 large, 10 medium and 24 small. 36 total.

Then the harder to see trio. I call the first set the 2x1's. I can see 4 on the top line, and 8 each on the 3 lines beneath that, 28 total.

The 3x1's. I've got 2 on the top line, and 6 each on the 2 lines beneath that. 14 total.

Finally, the 4x1's. Only 4 of these.

Unless my maths is failing me, i make that a grand total of 145. This is wrong.

So am i missing a whole group of squares, or am i missing some individual squares which fit in one of the above brackets?

2x3

I thought that a square was square

a 2 x 3 or a 3 X 4, etc. is a square

"at any angle"

i think they are referring to gradients, not dimensions. As in a square which has a side which spans 3 horizontally and 1 vertically, or there might be some that span 2 horizontally and 3 vertically etc.

Basically you have to find the hidden ones, with sides that arent parallel to the horizontal/vertical directions

What does 3x1 or 3x2 mean? Should a square not be 3x3? I dont see how this add's up!

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