Kruger, M.J.T.; (1989) On node and axial grid maps: distance measures and related topics. Presented at: European Conference on the Representation and Management of Urban Change, Cambridge, UK.

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Abstract

This work defines, in precise terms, what are node and axial maps used in space syntax in order to represent morphological properties of urban form and, also, explores graph theoretic relations between them. Relativised distance measures are deduced for node and axial grid maps such as to minimise size effects when maps with different number of nodes or axials lines are being compared and allowed to expand in one or two directions. The paper shows that axial maps, expanding in two directions, should be standardised by the root of a diamond shape and those characterised as node maps, expanding in two directions, should be standardised by the corner of a grid with, respectively, the same number of axial lines or nodes. If we adopt this procedure for maps representing similar urban morphological configurations then: 1. they present similar distances amongst their node or lines, regardless of their size. 2. when they are embedded in larger maps they should be placed in such way that expansion could take place in two directions which means that the geometrical centres of larger maps are the preferred locations for the smaller ones.

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