Refer to the following Chaos game to answer the question(s): ...

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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 P₂ corresponding to the sequence of rolls 1, 2, 2, 1.
◦ (18, 0)
◦ (0, 0)
◦ (8, 0)
◦ (24, 0)
◦ none of these

[laurnthompson]

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Thanks for the timely response, appreciate it

[alexanderhamilton]

TYSM