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☖ Forums → Discussion Forum → wtf is up with this?!?!
wtf is up with this?!?!
2005-06-22, 4:04 AM #1
http://www.unexplained-mysteries.com/gallery/albums/optical/normal_missingsquare.gif

:confused: :confused: :confused:

I don't get it HELP :(

Here is the sum of the individual parts and the total... it doesn't help any...

Areas:

Red - 12
Orange - 7
Green - 8
Blue - 5
-----------
Total - 32

Top Triangle - 32.5
Bottom Triangle - 31.5

[Edit: I think I got it, actually! But I will spare you the solution and let you go INSANE.]

2005-06-22, 4:11 AM #2
Because the slope isn't exactly the same, it cuts through enough squares to equal one full one.
"The trouble with the world is that the stupid are cocksure and the intelligent are full of doubt. " - Bertrand Russell
The Triumph of Stupidity in Mortals and Others 1931-1935
2005-06-22, 4:17 AM #3
Yeah. That's what I got too. :)

2005-06-22, 5:41 AM #4
but if the base and height are the same for both, how can the slope be different?

(literally just woke up, sorry if I'm being stoopid!)
<spe> maevie - proving dykes can't fly

<Dor> You're levelling up and gaining more polys!
2005-06-22, 5:42 AM #5
The individual slopes of the red and green triangles don't change. But their combined slope.
Sorry for the lousy German
2005-06-22, 7:54 AM #6
Quote:
Originally posted by maevie
but if the base and height are the same for both, how can the slope be different?

(literally just woke up, sorry if I'm being stoopid!)


Because it's not a triangle.

The gradient of the red triangle is 0.375 units, the gradient of the dark green one is 0.4 units.
"The trouble with the world is that the stupid are cocksure and the intelligent are full of doubt. " - Bertrand Russell
The Triumph of Stupidity in Mortals and Others 1931-1935
2005-06-22, 8:07 AM #7
Uh... sorry, I just finished Grade 10. We didn't cover gradients in academic. PLEASE don't try to explain. I'm just sayin'. :)
"Time is an illusion. Lunchtime doubly so."
2005-06-22, 8:12 AM #8
Quick exageration done in MS Paint of what is really going on:

[http://img30.echo.cx/img30/4224/triangles0xh.jpg]
2005-06-22, 8:13 AM #9
Quote:
Originally posted by Matterialize
Uh... sorry, I just finished Grade 10. We didn't cover gradients in academic. PLEASE don't try to explain. I'm just sayin'. :)


It's just another word for "slope."

He means the slope of the hypotenuse of the right triangles.
2005-06-22, 8:25 AM #10
right. yes, that was my point. if the triangles making up the triangle all had the same gradients, it wouldn't be possible. but yeah, that makes sense. thanks for the illustration, DS
<spe> maevie - proving dykes can't fly

<Dor> You're levelling up and gaining more polys!
2005-06-22, 9:55 AM #11
I couldn't figure it out either.

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