
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A regular icosahedron floats in space with one of its vertices pointing directly upwards. It has 20 equilateral triangular faces, where each vertex connects 5 triangles. Determine the number of ways to move from the top vertex’s adjacent face to the bottom-most vertex's adjacent face following a path through adjacent faces, visiting each face at most once, without ever moving upwards.
A) 10 
B) 15 
C) 20 
D) 25 
E) 30

Present the answer in LaTex format: \boxed{Your answer}
user