Right! See comment by @thomashorine earlier in this thread
-
-
Thanks. Twitter will use this to make your timeline better. UndoUndo
-
-
-
"But the dark blue square and the small pink squares have integer sides" -> how do we know this?
-
.
@kareldebruin recall long pink side=a. Blue=b. So uncovered pink=a-b=whole #. And Dark blue+2(a-b)=a. Thus dark=2b-a=whole number too.
End of conversation
New conversation -
-
-
Nice! This is the visual version of the inf descent proof: a/b = sqrt(2) --> (2b-a)/(a-b) = sqrt(2), with 0<2b-a<a, 0<a-b<b.
- End of conversation
New conversation -
-
-
My favourite: √2=x/y (GCD=1); x^2/y^2=2; x^2=2y^2; x even; 4(x/2)^2=2y^2; 2(x/2)^2=y^2; y even; GCD=2 QED
Thanks. Twitter will use this to make your timeline better. UndoUndo
-
-
-
Klein's String is quite well known. It is illustrated in Rouse Ball's Mathematical Recreations 1939 p.86.
- End of conversation
New conversation -
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.