
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 die has the shape of a regular tetrahedron, with the four faces having 1, 2, 3, and 4 pips. The die is placed with 4 pips face down in one corner of the triangular grid, so that the face with 4 pips precisely covers the triangle marked with 4 pips.

The die is now 'rolled' by rotating about an edge without slipping, so that 1 pip is face down. It is rolled again, so that 2 pips are face down, as indicated. The rolling continues until the die rests on the shaded triangle in the opposite corner of the grid.

How many pips are now face down?
A 1
B 2
C 3
D 4
E it depends on the route taken

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