SRL Archive - Mathematics

The image is self explanitory… But how?

for one, the "where does this whole come from" is pretty self explanitory, and doesnt need any explanation(god i hope so)

Cool optical illusion (.com/missingsquare.htm)!

I tried fitting both triangles into each other when it works, i kinda went "WTF?". I cut out each piece of the triangle and arranged it >.<…

lol explain ? xD

Here's a hint: The first one isn't a triangle.

From: senrath
Here's a hint: The first one isn't a triangle.

now that i look at it, your right :p

From: senrath
Here's a hint: The first one isn't a triangle.

Now im more confused

From: senrath
Here's a hint: The first one isn't a triangle.

How exactly isn't it?

From: MylesMadness
Now im more confused

the hypot on the first triangle actually has a very slight angle to it, thus a quadrolateral(sp), i think :p

From: Awkwardsaw
the hypot on the first triangle actually has a very slight angle to it, thus a quadrolateral(sp), i think :p

Yeah … I don't know what you are talking about. How does a triangle have four sides exactly?

nah its a triangle. we found an explanation for this in calculus but i cant remember it..

protip: get out a ruler.

From: Capricorn
Yeah … I don't know what you are talking about. How does a triangle have four sides exactly?

by hypot, i meant supposed hypot

Yeah, I think where the read and teal pieces connect is the 'slight angle' awkwardsaw is talking about.

If you look closely at both of the 'hypotenuses' and see how much empty space exists in the squares above each, you can see that there is a different amount. And I guess the differences in the empty spaces above each hypotenuse results in the empty square.

jk I'm wrong it's not a triangle what was I talking about?

http://www.marktaw.com/blog/TheTriangleProblem.html

C'mon guys, we are SRL, SCRIPT IT!
Fill in the bounds of the triangles, and any white square.

program New;

const
{Triangle 1 Bounds}
   T1X1=434;    T1Y1=141;
   T1X2=922;    T1Y2=333;
{Triangle 2 Bounds}
   T2X1=434;    T2Y1=439;
   T2X2=921;    T2Y2=630;
{Any White Square Bounds}
   SX1=660;     SY1=405;
   SX2=698;     SY2=442;
var
 X, Y, AboveT1, AboveT2, Square:Integer;
begin

  AboveT1:= CountColorTolerance(16777215, T1X1, T1Y1, T1X2, T1Y2, 50);
  AboveT2:= CountColorTolerance(16777215, T2X1, T2Y1, T2X2, T2Y2, 50);
  Square:=  CountColorTolerance(16777215, SX1, SY1, SX2, SY2, 50);
  Writeln('Square whiteness '+IntToStr(Square));
  Writeln('Difference in whiteness '+IntToStr(AboveT1-(AboveT2-860)));
  {The 860 is the amount of whiteness in the square in the bottom triangle
   which should not be counted, since we only want the top whiteness
   difference}
end.

Square whiteness 1190 This is how much white is in a square.
Difference in whiteness 1698

This is the difference of whiteness on top of each triangle.

So the difference of whiteness above each triangle is slightly different, and that difference is equivalent to ~one square.

Or maybe I'm just full of shit? Script proves it to me though.
I go for the 'top triangle is a quadrilateral because the hypotenuse is not straight' reason!

Edit: Woo Cheesehunk/Awk :D!

I will need to carefully, and slowly read through this… 0_o…
reading…

Oh I get it.

Edit: I thought I put them on top of each other pretty nicly… Looks like art kids just examine the corners and just assume…

oh don't get me started, HSPA is not a real selective school (facebook group)

yay

It is not actually a triangle. The slope of the red and green parts are slightly different, allowing a space to form if you switch them.

The upper "triangle"'s "slope" is slightly curved inwards, while the second one's curved outward.

:)

Edit : Oh shit, I'm late to the party.