$3+$ [Examples and counterexamples. Constructions]

Can 12 circles be drawn on a plane so that each touches exactly five others?
The required arrangement is shown in the figure.

![](https://cdn.mathpix.com/cropped/2024_05_06_b41405b02b6e888d68cag-14.jpg?height=755&width=761&top_left_y=749&top_left_x=657)

Answer

It is possible.