Two entertaining puzzles with coins. I don’t presume to judge the complexity and generality, but I hope they give you pleasure. So:
Task 1:Arrange 9 coins so that you get 10 rows of 3 coins in each straight row. In the figure of such rows 8. Shift as you wish.
Task 2:Draw a continuous broken line with the minimum number of segments passing through the centers of all the coins. I’ll say right away that there should be 4 segments, less is impossible :) In the figure below, as you can see, 5 segments.
UPD:A little explanation about the first task. Here are eight rows:
