The key word in your post would seem to be "logic". There is no logical explanation for the mathematics or biology when it comes to quilting. I am a fairly new quilter, have only made 6 or 7 quilts, yet I already have 2 containers full of scraps! This does not happen in any other artistic pursuit! Painters use up their paints, knitters, crocheters and needle pointers use up their yarn, potters use up their clay. I could go on, but you get my drift.