So let's start the explanation from the end.. The small pieces are exactly the same in the 2 images. If the 2 figures formed by them would have been the same (have the exact surface) it would have been impossible for one of them to have a missing part (square). So the full figures must be different. And the difference comes from the slope ("hypotenuse"), which is not actually a straight line. In figure #1 the slope is bent inwards, and in figure #2 in bent outwards. The surface created by the difference between the 2 inclinations is the exact size of the surface of the missing square. It was explained a couple of times before I did, but I wanted to add mine. Hope it makes sense
The triangles are not the same slope. The big triangle is 3/8 and the small is 2/5, so the "hypotenuse" of the whole diagram isn't a straight line. Compare where the two triangles touch in the lower diagram to the same spot in the upper: The upper one doesn't quite touch the grid corner.
how so? the red one is 8 squares along the bottom and 3 up the side while the blue one is only 5 squares long and two up its side. What colours do you see? I see red and blue triangles and the other two are kind of orange and green.
I'm gonna go with..... In the above picture, you have to take into account any square the color touches, you have to add the white portions as used space as well, as part of the equation. By moving the colored shapes, you are also moving the white space used in the equation. Best guess......??
I'm colorblind but my guess would be the blocks that overlap on the top one balance out to 5 over 5...when they are offset it becomes 8 over 7 and an extra space is created even though all the measurements are otherwise equal? ? Just a guess
Neither triangle is really a triangle. You can actually see the slope angle more upward when it passes from red to dark green. It becomes less steep when it passes from dark green to red in the 2nd triangle. Just look back and forth at the 2 points on the grid where those 2 pieces meet to see the difference. Nice find Cat. :)
Well if the slope is inverted in one and extraverted in the second, then the patrtitions are not exactly the same, as stated in the side bar of the puzzle??
Partitions refer to the small (different color) pieces. And these are the same. But arranged differently they create a different result, a different slope. So even if the pieces are the same, stacked in a different order they create a different slope. The slope is not created only by the 2 pieces but also but how the pieces underneath them are ordered.. Shorter: Say you take out the orange and light green pieces. Then, you can arrange the 2 other pieces in an infinite way to create an infinite type of slopes because they only touch in one point..
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