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3320hw4

# 3320hw4 - Math 3320 Problem Set 4 1 1 Find a formula for...

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Math 3320 Problem Set 4 1 1. Find a formula for the linear fractional transformation that rotates the triangle ( 0 / 1 , 1 / 2 , 1 / 1 ) to ( 1 / 1 , 0 / 1 , 1 / 2 ) . 2. Find the linear fractional transformation that reflects the Farey diagram across the edge ( 1 / 2 , 1 / 3 ) (so in particular, the transformation takes 1 / 2 to 1 / 2 and 1 / 3 to 1 / 3). 3. Find a formula for the linear fractional transformation that reflects the upper half- space version of the Farey diagram across the vertical line x = 3 / 2. 4. Find an infinite periodic strip of triangles in the Farey diagram such that the transformation parenleftBig 0 1 1 2 parenrightBig is a glide-reflection along this strip and the transformation
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