  We consider maximally symmetric 3-branes embedded in a six-dimensional bulk
spacetime with Lovelock dynamics. We study the properties of the solutions with
respect to their induced curvature, their vacuum energy and their effective
compactness in the extra dimensions. Some simple solutions are shown to give
rise to self-accelerating braneworlds, whereas several others solutions have
self-tuning properties. For the case of geometric self-acceleration we argue
that the cross-over scale in between four-dimensional and higher-dimensional
gravity and the scale of late-time geometric acceleration, fixed by the present
horizon size, are related via the conical deficit angle of the six-dimensional
bulk solution, which is a free parameter.
