Octagons can't be tiled in flat space but they can in hyperbolic space. Likewise pentagons can be tiled on a sphere.
Imagine you had some flat circles then you glued them by their edges to create a honey cone structure. You'd have to bend the circles a bit.
Is there some kind of hypothetical 2D surface on which circles can be tiled without gaps?
(Apart from the obvious 2 circles making halves of a sphere.)
It sounds like a crazy idea. Maybe it is.