  We introduce multisections of smooth, closed 4-manifolds, which generalize
trisections to decompositions with more than three pieces. This decomposition
describes an arbitrary smooth, closed 4-manifold as a sequence of cut systems
on a surface. We show how to carry out many smooth cut and paste operations in
terms of these cut systems. In particular, we show how to implement a cork
twist, whereby we show that an arbitrary exotic pair of smooth 4-manifolds
admit 4-sections differing only by one cut system. By carrying out fiber sums
and log transforms, we also show that the elliptic fibrations $E(n)_{p,q}$ all
admit genus 3 multisections, and draw explicit diagrams for these manifolds.
