Question 1
Refer to the figures and recursive rules below to answer the following question(s).
Which of the figures above approximates the result of recursively applying Rule E infinitely many times?
◦ Figure 2
◦ Figure 1
◦ Figure 3
◦ Figure 4
◦ none of these
Question 2
Refer to the following Chaos game to answer the question(s): Start with a square ABCD in which A is located at (0, 0), B is located at 
C is located at (27, 27), and D is located at (0, 27). Then, roll a fair die. We will say that A is the "winner" if we roll a 1, B is if we roll a 2, C is if we roll a 3, and D is if we roll a 4. If we roll a 5 or 6, we disregard the roll and roll again. Each roll of the die generates a point inside or on the boundary of the square according to the following rules.
∙ Start: Roll the die. Mark the "winning" vertex and call it P1.
∙ Step 1: Roll the die again. From P1 move two-thirds of the way straight toward the next winning vertex. Mark this point and call it P2.
∙ Steps 2, 3, etc.: Continue rolling the die, each time moving to a point two-thirds of the way from the last position to the winning vertex.
Determine the coordinates of the point P
2 corresponding to the sequence of rolls 4, 3, 2, 1.
◦ (27, 27)
◦ (8, 3)
◦ (24, 9)
◦ (18, 27)
◦ none of these
Yinka Shonibare MBE, Nelson's Ship in a Bottle, Fourth Plinth, Trafalgar Square, London.
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