Answer: Exercises 37 through 40 refer to a variation of the chaos game. In this game you

Chapter 12, Problem 38

(choose chapter or problem)

Exercises 37 through 40 refer to a variation of the chaos game. In this game you start with a square ABCD with sides of length 27 as shown in Fig. 39 and a fair die that you will roll many times. When you roll a 1, choose vertex A; when you roll a 2, choose vertex B; when you roll a 3, choose vertex C; and when you roll a 4 choose vertex D. (When you roll a 5 or a 6, disregard the roll and roll again.) A sequence of rolls will generate a sequence of points P1, P2, P3,c inside or on the boundary of the square according to the following rules.Using graph paper, find the points P1, P2, P3, and P4 correspondingto (a) the sequence of rolls 2, 2, 4, 4. (b) the sequence of rolls 2, 3, 4, 1. (c) the sequence of rolls 1, 3, 4, 1.