File:A regular tiling by squares 45 degrees slanted.svg

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English: Is evoked a complete covering of an Euclidean plane with an infinity of squares, all congruent. Their equal sizes are the leg lengths of a given right triangle, which is isoceles. Every square element of the tiling has a slope equal to the ratio of sizes:  a / b = 1,  so a square pattern in dashed red is indefinitely repeated horizontally and vertically.  Its surface is covered by four half elements of tiling, hence this equality of areas:  2 a 2 = c 2 a particular Pythagorean identity.
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Author Baelde
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current09:51, 12 October 2012Thumbnail for version as of 09:51, 12 October 2012750 × 600 (2 KB)Baelde (talk | contribs){{Information |Description ={{en|1=Is evoked a complete covering of an Euclidean plane with an infinity of squares, all congruent. Their equal sizes are the leg lengths of a gi...

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