Interview Puzzle

Foreword

It all started with a positive change in my life. I changed jobs. At last he became a programmer. I work under Ubuntu. In general, solid positive :) In Ubunt there is a calendar (shown in the picture on the right), when he saw that an inquiring brain, warmed up by preparation for interviews and tricky puzzles, gave birth to a new question
So one more problem was born from the area “why the hatches are round”

Task

It is necessary to schematically depict the day / night line at different times of the year on the unfolded map. That is how the sunlight will be distributed throughout the planet in winter, spring, summer (turn on someone's air conditioner) and in the fall.

For a particularly quick-witted, you can make it harder: now show me 8 pm in Tokyo in the winter.

Answer

The answer to these challenges and curiosity is here