This is a variation of the Star Jump Problem.
Redraw the figure so that each of the seven circles is big enough to hold a penny. Take six pennies. The problem is to put a penny in each of the shaded circles. However, there's a catch. Here's the rules that you have to follow.
Starting with any circle, count clockwise three circles and place the first penny there. Continue in this way, each time beginning at an empty circle and counting clockwise three circles and placing a penny there.
(From The Moscow Puzzles by Boris Kordemsky, where it was calledmatches and coins.)