Cyclic Driven IFS

3-Cycle Coordinates

Solving the fixed point equations gives the coordinates of each point. For example,
(x, y) = T3T2T1(x, y) = T3T2(x/2, y/2)
= T3(x/4 + 1/2, y/4) = (x/8 + 1/4, y/8 + 1/2)
so
x = x/8 + 1/4 and y = y/8 + 1/2
Solving for x and y gives (x, y) = (2/7, 4/7).
Similar calculations show
(1/7, 2/7) is the fixed point of T1T3T2
and
(4/7, 1/7) is the fixed point of T2T1T3

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