
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
In plane geometry, we know that the ratio of the radius of the circumscribed circle to the inscribed circle of an equilateral triangle is 2:1. Extending to space, studying the relationship between the radii of the circumscribed sphere and the inscribed sphere of a regular tetrahedron (a tetrahedron whose four faces are all congruent equilateral triangles), the correct conclusion that can be drawn is: The ratio of the radius of the circumscribed sphere to the inscribed sphere of a regular tetrahedron is ____.

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