Same side. The frog can be modelled as a torus for purposes of this beetle's navigation.

Well then, we're all just talking donuts that absolutely ruin perfectly good food.

Surely this is the humor behind the "spherical cow" [1] metaphor for scientific oversimplification. Obviously a real cow isn't a sphere. It's a torus.

[1] https://en.wikipedia.org/wiki/Spherical_cow