
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
Among the geometric bodies formed by any 4 vertices of a cube, there are:

① A spatial quadrilateral;

② A tetrahedron with each face being an equilateral triangle;

③ A tetrahedron with at most three faces being right-angled triangles;

④ A tetrahedron with three faces being isosceles right-angled triangles and one face being an equilateral triangle.

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