
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
By analogy with the property of an equilateral triangle in the plane, which is "all three sides are equal, all three interior angles are equal," we can deduce which of the following properties for a regular tetrahedron:

① All edges are equal, and the angle between any two edges at the same vertex is equal;

② All faces are congruent equilateral triangles, and the dihedral angle between any two adjacent faces is equal;

③ All faces are congruent equilateral triangles, and the angle between any two edges at the same vertex is equal.

The correct statements are numbered         .

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