4. (10 points) Count the number of parallelograms in the figure: $\qquad$.

Translate the above text into English, please keep the original text's line breaks and format, and output the translation result directly.
【Answer】Solution: According to the analysis,
Since any two adjacent sides of a regular hexagon can serve as two adjacent sides of a parallelogram, there are 6 parallelograms within the hexagon,

Answer: There are 6 parallelograms in the figure.
Therefore, the answer is: 6.