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Spiral of Isosceles Right Triangles (Dr Geo geometry file)

Recursively add isosceles right triangle, hypotenuse against short side, each one half the area of the previous one. The construction would be self similar, but for the largest triangle, which is oriented 90 degrees off of its proper position in the spiral. This construction resembles a scorpion. File type drgeo for the Dr Geo dynamic geometry software.

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