
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 octahedron has eight faces and twelve edges. Six of the vertices of this octahedron are connected such that they form a regular tetrahedron. Find the ratio of the surface area of the octahedron to the surface area of the tetrahedron.
A) 1
B) $\sqrt{2}$
C) $\sqrt{3}$
D) 2

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