  We consider Bridgeland stability conditions for three-folds conjectured by
Bayer-Macr\`i-Toda in the case of Picard rank one. We study the differential
geometry of numerical walls, characterizing when they are bounded, discussing
possible intersections, and showing that they are essentially regular. Next, we
prove that walls within a certain region of the upper half plane that
parametrizes geometric stability conditions must always intersect the curve
given by the vanishing of the slope function and, for a fixed value of s, have
a maximum turning point there. We then use all of these facts to prove that
Gieseker semistability is equivalent to asymptotic semistability along a class
of paths in the upper half plane, and to show how to find large families of
walls. We illustrate how to compute all of the walls and describe the
Bridgeland moduli spaces for the Chern character (2,0,-1,0) on complex
projective 3-space in a suitable region of the upper half plane.
