Use similitudes of the form Ti x y z = 1 3 100 010 001 x y z + ai bi ci to show that the
Chapter 10, Problem T1(choose chapter or problem)
Use similitudes of the form Ti x y z = 1 3 100 010 001 x y z + ai bi ci to show that the Menger sponge (see Exercise 10) is the set S satisfying S = 920 i=1 Ti(S) for appropriately chosen similitudes Ti (for i = 1, 2, 3,..., 20). Determine these similitudes by determining the collection of 3 1 matrices ai bi ci for i = 1, 2, 3,..., 20
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