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Shvoong Home>Arts & Humanities>History>Plato''s Impossible triangle Summary

# Plato''s Impossible triangle

Article Summary   by:Margery     Original Author: Other

Plato''s Cursed Triangle (The Impossible Triangle)
The Impossible Triangle is an optical illusion. This explanation is written in plain English since the geometric equations behind this illusion are too complex to be understood by anyone but math majors. Simply put: The triangle that is not complete is not really a triangle at all, it just looks like one. It''s a fake triangle. The big fake triangle seem to form a straight diagonal line from the lower left corner to the upper right corner, like they do in the real triangle. But in reality it''s not a straight line in the fake triangle. You can compare the real triangle with the fake triangle. Look at their upper diagonal sides and you will see that the way they cross the white grid in the background is slightly different. There is an invisible dent where the two parts or pieces meet in the fake triangle. As strange as it may seem, the slight dent is enough to throw off the straight line, and enough to amount to the volume of the missing square.
Published: January 21, 2008
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