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i was reading the maths thingy that you posted back in 2005 and found the answer (:
The answer is that the two diagrams don't take up the same amount of space elsewhere. It LOOKS like the top 4 pieces make up a triangle, when in fact it's really a 4-sided figure. The diagonal "line" runnning along the top left (of the first diagram) is actually two line segments with a small i