“…The opposite limit, R approaching zero, is here called "lineland", a 1d limit. Matter in lineland has been explored for many years as an abstract problem [7] and has recently received particular attention in connection with the possible realization of 1d phases within interstitial channels or external surface grooves on nanotube bundles [2,8,9,10,11,12,13,14,15,16]. A logical question addressed in this paper is whether the properties of matter in "cylinderland" evolves smoothly (or even monotonically) between these limits as the value of R is varied.…”