Make a list of the results of nesting Blur up to 10 times, starting with a rasterized size-30 “X”.

27.1

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Start with x, then make a list by nestedly applying Framed up to 10 times, using a random background color each time.

27.2

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Start with a size-50 “A”, then make a list of nestedly applying a frame and a random rotation 5 times.

27.3

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Make a line plot of 100 iterations of the logistic map iteration 4 #(1-#)&, starting from 0.2.

27.4

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Find the numerical value of the result from 30 iterations of 1+1/#& starting from 1.

27.5

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Create a list of the first 10 powers of 3 (starting at 0) by nested multiplication.

27.6

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Make a list of the result of nesting the (Newton’s method) function (#+2/#)/2& up to 5 times starting from 1.0, and then subtract (Sqrt[2])from all the results.

27.7

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Make graphics of a 1000-step 2D random walk which starts at {0,0}, and in which at each step a pair of random numbers between −1 and +1 are added to the coordinates.

27.8

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Make an array plot of 50 steps of Pascal’s triangle modulo 2 by starting from {1} and nestedly joining {0} at the beginning and at the end, and adding these results together modulo 2.

27.9

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Generate a graph by starting from 0, then nestedly 10 times connecting each node with value n to ones with values n+1 and 2n.

27.10

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Generate a graph obtained by nestedly finding bordering countries starting from the United States, and going 4 iterations.

27.11

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Make a line plot of 100 iterations of linear congruential function Mod[59#,101]&, starting from 1.

x27.1

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Create a list of 5 power towers of 2, i.e. 2^2^2...^2 n times, with n from 0 to 4.

x27.2

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Create a list of 20 power towers of 1.2, i.e. 1.2^1.2^...^1.2  n times, with n from 0 to 19.

x27.3

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Generate a list of the numerical values obtained by up to 10 nestings of the function Sqrt[1+#]&.

x27.4

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Make graphics of a 1000-step 3D random walk which starts at {0,0,0}, and in which at each step a triple of random numbers between −1 and +1 are added to the coordinates.

x27.5

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