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The enclosed configuration of the top colored area
is 0.5 units less than a 5x13 triangle, and the configuration on
the bottom, including the hole, is 0.5 units greater than a 5x13
triangle. The net difference in these two is then of course the 1
square that appears to have been added to the lower triangle, which of course it
wasn't, as the triangle wasn't there to begin with. The optical illusion
occurs because the mind and logic insist that both areas are equivalent, and of
course they are not for the reasons previously cited, although
the colored areas are numerically equal in area, top and
bottom.
----- Original Message -----
<BLOCKQUOTE
>
<DIV
>From:
mrdavis9
To: <A title=amibroker@xxxxxxxxxxxxxxx
href="">amibroker@xxxxxxxxxxxxxxx
Sent: Sunday, March 28, 2004 3:58
PM
Subject: Re: [amibroker] Re: Off-Topic:
Solving the triangle puzzle
The only way they pulled it off was by using fat
lines. Thin lines would have revealed the curve. Ron
D
<BLOCKQUOTE
>
----- Original Message -----
<DIV
>From:
Al
Venosa
To: <A title=amibroker@xxxxxxxxxxxxxxx
href="">amibroker@xxxxxxxxxxxxxxx
Sent: Sunday, March 28, 2004 7:50
AM
Subject: Re: [amibroker] Re: Off-Topic:
Solving the triangle puzzle
Actually, DT, the puzzle is a mirage, a scam. The hypotenuses are
slightlyand subtly curved. They just look like straight lines but are
not really. Ifyou stare at the figures long enough, you may notice the
upper hypotenuse ofboth triangles is ever so slightly curved, concave in
the upper diagram andconvex in the lower, with just enough difference to
make the one extra boxin the lower one. If you look at the two triangles
you will see that thedark green one is two up and five across, or 2.5:1,
and the red one is 3 upand 8 across or 2.667:1. The major triangle is 13
x 5, or 2.6:1. The onlyway you can do that is by curving the hypotenuse
lines, regardless of howsubtly. So, you were right about the "feel good"
appearance of thetriangles, but mathematically the "slight difference"
is impossible.Regards,Al V.----- Original
Message ----- From: "DIMITRIS TSOKAKIS" <<A
href="">TSOKAKIS@xxxxxxxxx>To: <<A
href="">amibroker@xxxxxxxxxxxxxxx>Sent:
Sunday, March 28, 2004 2:54 AMSubject: [amibroker] Re: Off-Topic:
Solving the triangle puzzle> Al,> the slopes
are> 3/8=0.375> 2/5=0.4> Note here one of the reasons
they look similar, 2,3,5,8 is the> integer approximation of a
Fibonacci sequence/golden ratio which is> always friendly to the
human eye. We feel good with the ratio and we> excuse the "slight"
difference...> Dimitris Tsokakis>> --- In <A
href="">amibroker@xxxxxxxxxxxxxxx, "Al
Venosa" <advenosa@x...> wrote:>
> Sorry for the off-topic message. I thought this was cute. Here's
a> good one> > for DT. Can you solve the attached puzzle?
I'll post the correct> answer> > later.>
>> > Al Venosa> >> >> >
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