Puzzle n°34 (**) - The crazy run

Once or twice a day, my somalis love to start a crazy run throughout the house... They run straight in front of them, the quickest they can, then suddenly change direction towards another invisible goal, and stop as suddenly as they started! Observing Chabichou do this little game, I noticed that he had run over each of the decoration points of my ground paving (which is represented below), exactly once over each one. And when he finished his crazy run at exactly the same point where he started, he had run five straight lines.

 

Could you draw his running route ?

... I'm giving up ...