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andromeda
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A puzzling geometric illusion

This sprouts up the weed of pure confusion

How many triangles found in the square?

The answer can not be found anywhere.

My mind doesn't want to count and number

It would be more soothing to fall into slumber.

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Here are my 26 composite triangles

2 parts (11) : 1-6, 2-3, 2-7, 3-8, 4-5, 4-9, 6-7, 7-8, 10-11, 11-13, 12-13

3 parts (5) : 1-2-3, 6-7-8, 7-8-11, 9-10-11, 9-10-12

4 parts (4) : 1-4-5-6, 2-3-7-8, 5-6-7-8, 7-8-11-13

5 parts (3): 2-3-7-8-11, 4-5-6-7-8, 9-10-11-12-13

6 parts (1) : 2-3-7-8-11-13

7 parts (1) : 1-4-5-6-9-10-12

8 parts (1) : 1-2-3-4-5-6-7-8

together with 11 base triangles it must be 37?

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Here are my 26 composite triangles

2 parts (11) : 1-6, 2-3, 2-7, 3-8, 4-5, 4-9, 6-7, 7-8, 10-11, 11-13, 12-13

3 parts (5) : 1-2-3, 6-7-8, 7-8-11, 9-10-11, 9-10-12

4 parts (4) : 1-4-5-6, 2-3-7-8, 5-6-7-8, 7-8-11-13

5 parts (3): 2-3-7-8-11, 4-5-6-7-8, 9-10-11-12-13

6 parts (1) : 2-3-7-8-11-13

7 parts (1) : 1-4-5-6-9-10-12

8 parts (1) : 1-2-3-4-5-6-7-8

together with 11 base triangles it must be 37?

Uuuuuu... so close but not quite, you still have

one more with 6 parts!!!

5-6-7-8-10-11

BTW

I like your methodology! I started with triangle 1 and listing every possible triangle that contains triangle 1 and so on...

Nice job!!! :D

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