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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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  = W = said:
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37 triangles - 11 base and 26 composite?

Actually I

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35! I added a number to each section (13 sections; 11 base triangles)and counted the composite triangles and it was 35.

To be honest I don't know the correct answer, even though I posted this topic!

:lol:

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  andromeda said:
Actually I

To be honest I don't know the correct answer, even though I posted this topic!

:lol:

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35! I added a number to each section (13 sections; 11 base triangles)and counted the composite triangles and it was 35.

OK! After recounting them

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36 and I think that is the correct number!

:blink:

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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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  = W = said:
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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

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one more with 6 parts!!!

5-6-7-8-10-11

BTW

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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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