Let $G$ be a path connected topological group. Given two loops $\backslash$alpha and $$ based at $e$ in $G.$ Defined a map $F$:$[0,1]$ x $[0,1]G$ by $F(s,t)=\backslash$alpha $(s).\backslash$beta $(t)$ where $.$ denotes usual multiplication in $G.$ Draw a diagram to visualize the effect of this group on the square. Please provide detail explanation.