Kirby says: >What I have been showing is "repeated addition" will take us a long way, if we extend it to include what others call "scaling" -- we're repeatedly adding length.
I see it a bit differently. We have pre-mathematical (perhaps proto-mathematical) intuitions about the world. Replication, and growing (or shrinking) are quite different from that viewpoint. We can connect both of these as abstracted concepts to what we learn about the formal symbolic manipulations we call multiplication (pick your numbers N - C) -- which have course evolved over a long period. Its perhaps a bit surprising that two seemingly dissimilar concepts should both map to mult. Think of babies: replicating babies, growing babies, rather different. Once we have found a connection, we can amuse ourselves by finding deeper connections, such as the fact that growing babies involves replication of cells, which is something that people long ago didn't know for sure. Perhaps all growing involves replication in this physical world.