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From: Warp
Subject: Geometric puzzle
Date: 14 Dec 2009 18:26:00
Message: <4b26c988@news.povray.org>
How many triangles can you find in the attached image?


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triangles.png


 

From: Kevin Wampler
Subject: Re: Geometric puzzle
Date: 14 Dec 2009 18:37:11
Message: <4b26cc27$1@news.povray.org>
Warp wrote:
>   How many triangles can you find in the attached image?

None, I just see many small squares of varying shades of gray :)


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From: Jim Henderson
Subject: Re: Geometric puzzle
Date: 14 Dec 2009 18:37:20
Message: <4b26cc30$1@news.povray.org>
On Mon, 14 Dec 2009 18:26:00 -0500, Warp wrote:

> How many triangles can you find in the attached image?

I count 21.

Jim


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From: nemesis
Subject: Re: Geometric puzzle
Date: 14 Dec 2009 19:04:35
Message: <4b26d293$1@news.povray.org>
Jim Henderson wrote:
> On Mon, 14 Dec 2009 18:26:00 -0500, Warp wrote:
> 
>> How many triangles can you find in the attached image?
> 
> I count 21.

I've gone 'til 26.


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From: Darren New
Subject: Re: Geometric puzzle
Date: 14 Dec 2009 19:23:23
Message: <4b26d6fb$1@news.povray.org>
Warp wrote:
>   How many triangles can you find in the attached image?

Here I thought I was going to come up with a whole clever answer that didn't 
need counting at all, and the numbers came out as 120.  Whoops, that didn't 
work.

-- 
Darren New, San Diego CA, USA (PST)
   Human nature dictates that toothpaste tubes spend
   much longer being almost empty than almost full.


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From: Slime
Subject: Re: Geometric puzzle
Date: 14 Dec 2009 20:14:01
Message: <4b26e2d9$1@news.povray.org>
>> I count 21.
>
> I've gone 'til 26.

Heh, I got 24.

 - Slime
 [ http://www.slimeland.com/ ]


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From: Stephen
Subject: Re: Geometric puzzle
Date: 15 Dec 2009 03:29:44
Message: <4b2748f8$1@news.povray.org>
Warp wrote:
>   How many triangles can you find in the attached image?
> 
> 
Is it that time of year again? ;)

-- 

Best Regards,
	Stephen


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From: andrel
Subject: Re: Geometric puzzle
Date: 15 Dec 2009 05:27:49
Message: <4B2764A4.5060008@hotmail.com>
On 15-12-2009 1:05, nemesis wrote:
> Jim Henderson wrote:
>> On Mon, 14 Dec 2009 18:26:00 -0500, Warp wrote:
>>
>>> How many triangles can you find in the attached image?
>>
>> I count 21.
> 
> I've gone 'til 26.

Wow, which ones did I miss?
Counting all that include the top and the lower line:
4 of about a quarter surface
3 of half
2 of 3/4
1 whole
That is 10
Another 10 when we don't use the lower line but the diagonal from left 
bottom to right middle
The triangle that uses that diagonal and the two bottom line
and finally (?) the left most small part of that triangle


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From: Invisible
Subject: Re: Geometric puzzle
Date: 15 Dec 2009 05:29:48
Message: <4b27651c$1@news.povray.org>
Warp wrote:
>   How many triangles can you find in the attached image?

It's the gift that keeps on giving... ;-)


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From: scott
Subject: Re: Geometric puzzle
Date: 15 Dec 2009 06:47:13
Message: <4b277741$1@news.povray.org>
>  How many triangles can you find in the attached image?

I make it 24.

I thought about it like this.

There are 8 enclosed areas in the diagram, 4 at the top and 4 at the bottom. 
For each triangle, each of those segments is either inside or outside the 
triangle.

Consider just the top 4 segments, "0" means outside the triangle and "1" 
means inside the triangle.  Some combinations obviously do not form a 
triangle, eg "1001" (the far left and far right segment are "inside").

The combinations that are possible to make triangles:

0000
0001
0010
0100
1000
0011
0110
1100
0111
1110
1111

For all of those apart from the "0000", there are precisely two possible 
states of the bottom row of 4 segments that make valid triangles.  For 
"0000" there are 4 possible combinations on the bottom row that make valid 
triangles.  10 x 2 + 4 = 24


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