
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
The plane is tiled by congruent squares and congruent hexagons in a repeating pattern, where each large square is divided into a grid of 4x4 smaller units and 8 out of the 16 units are part of hexagons. Calculate the percent of the plane that is enclosed by the hexagons.

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