... 8 Shaking a box of sand II – at the jamming limit, when shape matters! In this chapter we extend the model of the previous chapter in two different direc-tions; the first and most important aim ... notation of wasted space from a as in the previous chapter to here,we have in mind that, unlike the way in which we envisaged a as the aspect ratio of a rectangular grain there, can take any value, ... rational or irrational, in this chapter.It can, in this chapter, equally represent the integer-value mismatch of rectangulargrains, as the possibly irrational value of the void space generated...