2009-04-06, 12:33 PM
(This post was last modified: 2009-04-06, 12:45 PM by KajitiSouls.)
Tch, this looks like the triangles that are permutations of each other, yet the other triangle has a single unit square cut out of it from the bottom.
Without formal mathamancy, I'ma go out on a limb and say that Fibonacci's Cheat doesn't work because the fraction of squares in the middle don't align correctly. This "fudges" the actual squares in the whole figure, and the total sum of square parts that becomes "missing" in the middle is exactly 1.
For that matter, the shapes in the picture do not fit together exactly into a perfect rectangle.
Without formal mathamancy, I'ma go out on a limb and say that Fibonacci's Cheat doesn't work because the fraction of squares in the middle don't align correctly. This "fudges" the actual squares in the whole figure, and the total sum of square parts that becomes "missing" in the middle is exactly 1.
For that matter, the shapes in the picture do not fit together exactly into a perfect rectangle.