I like to play with scrap clay left over from projects, and there are so many ways to work scraps into a new design as long as it is not mixed to a mud color. [I have since written more about this technique and using scrap clay, including a video here.]
I had two flower canes, but this would have worked well even if you were using the distorted ends of canes, and I had a skinner blend bulls-eye cane and a stack of stripes. I cut these up into small pieces, and chopped up pieces of clay of contrasting colours. I laid these together to create a ‘log’ – with most of the canes lying across (rather than along) the log.
I rolled this into a smooth log, and twisted it – but not too much. This is similar to the technique some use for making natasha beads, see http://www.polypediaonline.com/image/users/133688/ftp/my_files/Natashabeads_Tutorial_Irismishly.pdf?id=3237944
However, instead of slicing through the log, I rolled it flat, and cut thin slices (cut across the stripes which will appear once you have twisted it). Put two slices together to show the symmetrical image. As I cut each slice, the pattern will slowly change, so no two pieces will be exactly alike.