Abstract
The polymer excluded volume exponent ν is calculated using a direct position space renormalization group approach without reference to the zero-component spin model. Self-avoiding-walks (SAW's) and neighbour-avoiding-walks (NAW's) are used as a model of a polymer chain. Renormalization group recursion relations are calculated exactly for cubic cells of linear size 2 and 3. Our results are consistent with the best experimental and theoretical estimates