Excerpt from the article:

"Let’s imagine a roller skating rink. Based on the structure of the self-coupled group Γρ, the high-rank space Γρ(H×H) is formed by two Kleinian groups Γ and ρ(Γ), each acting on the left and right sides of H×H, respectively.

If you wear matching roller skates on both feet and move your left and right legs in perfect sync, you’ll skate smoothly and move straight forward. This represents a situation where Γρ acts symmetrically on both sides of H×H—meaning the two hyperbolic spaces Γ\H and ρ(Γ)\H have identical geometric structures.

But what if you wear different kinds of roller skates on each foot, and each foot moves in its own erratic way? You’ll end up zigzagging all over the rink, drawing everyone’s attention. This symbolizes the case where Γρ acts asymmetrically on H×H, and the two hyperbolic spaces Γ\H and ρ(Γ)\H have different geometries."