
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
What solid will be formed if the centers of the faces of a regular tetrahedron are connected by straight lines? What will be the volume and surface area of this solid, if the volume and surface area of the given tetrahedron are denoted by $V$ and $S$?

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