6. Fun with Topology! (a) (5 points) Two of the three designs shown below are mutually homotopic. Which two? Justify your answer by drawing at least three in-between sketches showing how one of the objects can be continuously deformed into the other. A B (b) Consider the surface of the triple-donut below. i. (2 points) What is the genus of this surface? ii. (2 points) Find the Euler characteristic of this surface. For full credit, you must explicitly state the appropriate formula used