High Quality Content by WIKIPEDIA articles! In mathematics, a self-avoiding walk (SAW) is a sequence of moves on a lattice that does not visit the same point more than once. A self-avoiding polygon (SAP) is a closed self-avoiding walk on a lattice.As such, SAWs are often used to model the real-life behaviour of chain-like entities such as solvents and polymers, whose physical volume prohibits multiple occupation of the same spatial point.In computational physics a self-avoiding walk is a chain-like path in mathbb{R}^2 or mathbb{R}^3 with a certain number of nodes, typically a fixed step length and has the imperative property that it doesn't cross itself or another walk. A system of self-avoiding walks satisfies the so called excluded volume condition.