## Task 1 - 270711

Klaus accidentally dropped his alarm clock. As a result, the clock face shattered into three pieces.

After the initial shock of the accident, Klaus noticed that none of the 12 numbers had been torn apart by the shattering. He calculated the sum of the numbers on each of the three pieces.

He found that in all three cases, the same sum was obtained.

![](https://cdn.mathpix.com/cropped/2024_06_06_b85a894aa8dbf722a7b3g-0498.jpg?height=377&width=371&top_left_y=488&top_left_x=1362)

How could the clock face have shattered?

Provide a possible way this could have happened and verify that Klaus's observation holds true for your suggestion!
The dial could be cracked as shown in the image. This is verified by confirming that

$$
11+12+1+2=3+4+9+10=5+6+7+8=26
$$

holds.