Xmas Competition -50$ prize

[admin]

Microsoft's AI says the answer is 52. They can count triangles on an image now. crazy 
Prompt used:

How many triangles can you can count on this image https://imgur.com/f2G6Cx4

This is a tricky question, as there are different ways to count triangles in a complex figure. One possible method is to use the formula n(n+2)/8, where n is the number of sides of the polygon. This formula works for regular polygons that are divided into congruent triangles by drawing all the diagonals from one vertex. However, this formula does not work for irregular polygons or polygons that have more than one set of diagonals.

In this case, the image shows an irregular hexagon that has two sets of diagonals. Therefore, we need to count the triangles manually. One way to do this is to label the vertices of the hexagon as A, B, C, D, E, F and the intersection points of the diagonals as G, H, I, J, K, L. Then, we can list all the possible triangles that can be formed by three points. For example, ABC, ABD, ABE, ABF, ABG, ABH, ABI, ABJ, ABK, ABL are some of the triangles that have A and B as two of their vertices. We can repeat this process for all the other pairs of vertices and eliminate any duplicates. Alternatively, we can group the triangles by their size or shape and count them accordingly. For example, there are 12 small equilateral triangles, 6 medium isosceles triangles, 6 large isosceles triangles, and 6 scalene triangles in the figure.

Using either method, we can find that there are 30 triangles in the image. However, this is not the final answer, as there are also some hidden triangles that are formed by combining smaller triangles. For example, AGL, BHK, CIJ, DFK, EGL, FHI are some of the hidden triangles that are formed by joining two small equilateral triangles. We can also find hidden triangles that are formed by joining three or four smaller triangles. For example, AFK, BIL, CDJ, AEJ, BFK, CIL are some of the hidden triangles that are formed by joining three small equilateral triangles. Similarly, ADL, BEK, CFJ are some of the hidden triangles that are formed by joining four small equilateral triangles.

To find the total number of hidden triangles, we can use another formula: 2^(n-1) - n, where n is the number of sides of the polygon. This formula works for polygons that are divided into congruent triangles by drawing all the diagonals from one vertex, and it gives the number of triangles that are formed by combining two or more smaller triangles. However, this formula also does not work for irregular polygons or polygons that have more than one set of diagonals. Therefore, we need to count the hidden triangles manually as well.

Using either method, we can find that there are 22 hidden triangles in the image. Therefore, the final answer is 30 + 22 = 52 triangles in the image. This is one possible solution, but there may be other ways to count the triangles or other hidden triangles that are not accounted for. Therefore, the answer may vary depending on how one defines a triangle and how one counts them.

the AI should have stuck to lines,
because if we remove lines many triangles would not exist,
also where did the AI see an irregular hexagone ? the triangle has 3 sides not 6, polygone yes but not hexagone. the star is a decagon.

[admin]

This puzzle can have many answers. Starting with the hint in the question. Here triangle is in singular, so how many triangle? One.

Then the word "triangle" is a triangle of some kind, so it can be added to the number of each variant, I will add it in brackets.

Then we can count only triangles not crossed with anything, then there are 10 in the star, three in the tree and one in AltcoinsTalks.com line and one in the logo, totally 15 (16).

Then we can count triangles considering that borders are just borders. And this will be my main guess. Then the star has 10, the tree has 24 and one in AltcoinsTalks.com line and one in the logo, totally 36 (37).

Then we can consider that borders can hide a triangle on the backside. If we count only the ones which don't have crossing with other lines, then there will be additionally one triangle in the tree and one in the logo.

Then we can see all back triangles surrounding the inner ones. Then there are the same 24 additional triangles in the free, 10 in the star, one in the line AltcoinsTalks.com and one in the logo. So up to 72 (73).

And two last small things: I looked at the k letter in the logo and thought if it can have triangles also, but there are opened spases between the lines, so these geometric figures are hardly triangles; I also thought if a star hides some part of triangles in the top of the tree to make them non-triangles, but the picture is too small and I thought it can hardly be a trick.

when you overanalyse 
I should have been more precise.

[admin]

If it isn't then the question would be more complicated than it seems.

If it wasn't more complicated, then it was too simple. All answers about the star and the divided triangle are widely known: 10 and 24. So main thing is what are the tricks.

yes, was going for the simple version, it is a Christmas challenge not school of engineering exam 

[Jokers]

If it isn't then the question would be more complicated than it seems.

If it wasn't more complicated, then it was too simple. All answers about the star and the divided triangle are widely known: 10 and 24. So main thing is what are the tricks.

yes, was going for the simple version, it is a Christmas challenge not school of engineering exam 

No problem, the trick was in that it was as easy.

[examplens]

24 in the green zone, and 10 in the star. In total 34

Correct, Winner

Winner, winner chicken dinner 

Since this contest was tricky and the essence was in observing the details. I only now paid attention to the subject of this topic and I noticed that the prize is -50$. Does this "-" mean that now I owe $50 to the admin? 

[Freemind]

Winner, winner chicken dinner 

Since this contest was tricky and the essence was in observing the details. I only now paid attention to the subject of this topic and I noticed that the prize is -50$. Does this "-" mean that now I owe $50 to the admin? 

That's right @examplens, you owe the admin $50. And remember that the tax office also wants its share. Remember to make the payment before the next 30 days or you will be penalized

[PX-Z]

24 in the green zone, and 10 in the star. In total 34

Correct, Winner

Geeez, i have the same answer too, how bout me 

Edit: Oh okay I saw the edited OP and it's only for first to answer

[admin]

24 in the green zone, and 10 in the star. In total 34

Correct, Winner

Geeez, i have the same answer too, how bout me 

Edit: Oh okay I saw the edited OP and it's only for first to answer

you know as it is publicly shared, it's only the first that get it right that can be rewarded
if it was to be sent by pm, another arrangement would be possible

[Ambatman]

@examplens Congratulations on your win
Lol @Admin should we be expecting a new years contest?

[Gormicsta]

There are 26 triangles there

[examplens]

Just to confirm here, I have received this award. Thanks @admin for this contest and generosity.

note: I am now an ALTT token holder 

[Woodie]

Just to confirm here, I have received this award. Thanks @admin for this contest and generosity.

note: I am now an ALTT token holder 

Congratulations to you    missed this nice brain teaser

Admin anything for the New Year??

[Fancode09]

Just to confirm here, I have received this award. Thanks @admin for this contest and generosity.

note: I am now an ALTT token holder 

Congratulations to you    missed this nice brain teaser

Admin anything for the New Year??

Ofcourse If any contest comes in new year then I will definitely join, I love contest.