Solved: Show that the unit square S can be partitioned into four triangular regions on
Chapter 10, Problem 9(choose chapter or problem)
Show that the unit square S can be partitioned into four triangular regions on each of which Arnolds cat map is a transformation of the form x y 1 1 1 2 x y + a b where a and b need not be the same for each region. [Hint: Find the regions in S that map onto the four shaded regions of the parallelogram in Figure 10.13.1d.]
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