Abstract
This paper introduces new graph geometric measures and models for architectural planning. Based upon geometrical distance among nodes, the ′minimum-path graph′ is proposed to analyse all shortest-path traversal from every to every other space in a network. By applying the geometric graph, two spatial models are created in order to represent node′s centrality and edge′s optimal passage capacity. They describe specific values for each individual space with regards to the overall system.The graph geometry primarily aims to assist architect planners to clarify the underlying geometric potential of space with more accuracy. In a near future, it is also hoped that the new geometric measures and models will further deepen, and widen, our planning knowledge for architectural and urban space network.
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