Art
Perhaps one of the bullet makers will come on and insert some thoughts, but untill then, here is a good guess.
On a single radius ogive bullet, the ogive follows a constant circle as it arcs toward the shank. This arc is a radius that is 7 times the diameter of the bullet caliber. For instance, take a 30 caliber bullet with a 7 ogive. That ogive, if continued out in a full circle, would represent a radius of 2.156 inches. On a double radius, it may start out at about a 6 or 7, (more blunt), and as it progresses toward the shank, it changes into a higher number, say a 10 or 11. I do not know of any that start at an higher number at the point, and then goes to a lower number as it gets to the shank.
I am not real sure who conceived this, rumor has it that Speedy was trying to re-polish a point up die once, it came out like that, shot great, and every body said "hmmmm".
Some examples of single ogive bullets are Fowlers, Watsons, the vast majority of 7 3/4 ogive bullets that come out of Niemi dies, Knights, etc. Some examples of double Radius bullets are The Barts Ultra and Headhunter, and the Bruno 00 Boat Tail........jackie