Social Question

Dutchess_III's avatar

How many triangles do you see?

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33 Answers

canidmajor's avatar

All of them.

JLeslie's avatar

Every time there is a new answer I look at the picture again. Lol.

nerdgirl578's avatar

Now I see nine…

Demosthenes's avatar

I’m seeing 18.

nerdgirl578's avatar

I see 18 too now, I wonder if there’s more?

JLeslie's avatar

You people in the high numbers are counting trapezoids and other shapes. I don’t know if my number is right, but I’m pretty sure numbers like 18 must be wrong.

Or, I could be wrong. Lol. I might be missing some.

nerdgirl578's avatar

@JLeslie You’re wrong. :) There are at least 18, but it took me a while to see it

Dutchess_III's avatar

No, they aren’t @JLeslie.

JLeslie's avatar

I see my mistake. Now, I’m at 12.

Edit 16

Lol. Oy.

Dutchess_III's avatar

Raggie is correct. :D

JLeslie's avatar

You mean ragingloli? 18?

Dutchess_III's avatar

Yes. I have called him Raggie since Wisdm days.
Yes. 18

JLeslie's avatar

Other people had 18 too. That’s why I was confused.

That was fun! Thanks.

Dutchess_III's avatar

I didn’t get it right off the bat either, even though I knew exactly what to do because I do this stuff a lot. I’d never done this one before though.

Dutchess_III's avatar

I liked how very simply they broke it down!

flutherother's avatar

I see 36 without my glasses on.

JLeslie's avatar

At first I was counting the trapezoids, and then I thought I had caught my mistake—caught the trick, but then I obviously had missed a bunch of the triangles in the end.

LostInParadise's avatar

18. If we label the columns c1, c2 and c3, we can combine columns as: c1, c2, c3, (c1 and c2), (c2 and c3) and (c1, c2 and c3). That is 6 ways of combining columns. The triangle can include 1, 2 or 3 rows. 3×6=18.

LostInParadise's avatar

The number of ways of selecting the columns is 3 + 2 +1. Here is why. If the leftmost column is c1 then the rightmost column is c1, c2 or c3. If the leftmost column is c2 then the rightmost column is c2 or c3. If the leftmost column is c3 then the rightmost column is also c3. Adding up the possibilities, we get 3+2+1. If there were n columns, the number of ways of combining them would be n + (n-1) + n-2) + ... +1 = n(n+1)/2, using the formula for arithmetic series.

Pinguidchance's avatar

There are 18 triangles in the picture and one in the question.

stanleybmanly's avatar

I don’t want to explain & blow it for the late arrivals.

stanleybmanly's avatar

Damn That’s tricky. I’m up to 6

stanleybmanly's avatar

Yep. It’s gotta be 6. There are 3 at the apex and the horizontal lines form the bases of the remaining 3. Who found others?

Dutchess_III's avatar

You are the late arrival @stanleybmanly! ♥ Here Ya go. :D

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