The CCM is like a three dimensional solid which is free to move pieces of itself to arbitrary time locations. Thus if a section of a bud seems to have the right half missing, we might think of the left half of the bud as being in Monday and the right half of the bud as being in Tuesday, with your cross-section being computed at the Monday time coordinate. I use time not at all in a physical sense here, but simply for the vividness of the image. Now I explain how we compute Mk. The Mc are, to my eye, not as interesting as the Mk.
R is an object which is extremely rich in fractal structures.
One good region is the plume between 2 and 3 o'clock. Another good region is the spike at the top, at 12 o'clock. There is an interesting structure there that is a bit like a Mandelbrot set, but different. The value of computing NZK and having it to hand as a .GIF file is that then, I would know where to put my cursor so as to select k values to get full or nearly empty Mk graphs. The most exotic Mk graphs probably occur for k values near the boundary of NZK, just as the more interesting Julia sets Jc occur at c values that are near the boundary of M. As an extension of the set NZK, I would also like to map a coloring of the k-plane in which the color at k is a linear function of the relative pixel area of Mk.