Question: Answer Exercise 10.4.10 for the larger triangular lattice. In Exercise 10.4.10 A bug crawls along the edges of the pictured triangular lattice with six vertices.

Answer Exercise 10.4.10 for the larger triangular lattice.

In Exercise 10.4.10
A bug crawls along the edges of the pictured triangular lattice with six vertices. Upon arriving at a vertex, there is an equal probability of its choosing any edge to leave the vertex. Set up the Markov chain described by the bug's motion, and determine how often, on average, it visits each vertex.

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