The Chaos Game

Geometry Level 3

Elias is standing at corner A of a giant triangular park with corners A, B, and C. Every 30 seconds, he chooses one of the corners and sprints from wherever he is, exactly half way towards that corner. Then he stands still until the next sprint. Which 4 corners must Elias choose in sequence in order to end up completely inside of (not just on an edge) of the park's orange sandbox after 2 minutes?

(Note: There are two correct answers but only one of them is given as an option to the right.)

BAAB CBBC BACB BCAB

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