Topology doesn't really apply to architecture, as it is more a mathematical concept, but a geometrical shape being a part of a piece of architecture can certainly have certain topological properties. The topology of a torus for instance is different from the topology of a sphere. Topological order reveals the way buildings are utilized or apprehended both by regular users, its inhabitants, and also by occasional users, the visitors. It is known from experience that topological order defines the spatial features that will make architectural space more or less intelligible for its users. A Topological Approach to Architectural Design. Author(s). Wolf Pearlman (Technion‐Israel Institute of Technology, Haifa , Israel). Acknowledgements.
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The movement of bodies that covers the planet happens typically and naturally by means of deformed grids. The grid is essentially a plan topological architecture.
The deformed grid is natural topological architecture architecture. It has happened at different scales and at different times of history. Ancient houses, patio houses in different cultures, and ancient towns, grid-like configured, have a similar topological architecture description where the grid is an integration device and, moreover, an accessibility device.
Topology: Thinking About Ground in Landscape Architecture
Integration and Segregation Accessibility is a natural condition given by any spatial distribution. As such the topological architecture plan is a natural record of spatial accessibility. From the architectural topological architecture of view accessibility is a potentiality any space carries; a potentiality for being reached by people, either more of less directly, in consequence of its relative position as embedded in a larger system of routes, either building or urban setting.
The mode of topological architecture of a plan defines a system of pathways naturally endowed with gradations of accessibility. The plan produces naturally a sort of rank of accessibility.
How is topology used in architecture? - Quora
As a consequence spatial distribution is always a distribution of either spatial integration or spatial segregation, with a variety of gradations of accessibility in between. Spaces that are more accessible tend to be naturally the ones most topological architecture through. Topological architecture are common sense called integrated or integrating routes or paths.
The routes less accessible by virtue of their more secluded position in the spatial distribution will be naturally less passed through. Plans are so devices for distributing both spatial integration and spatial segregation. Any plan has, by virtue of its spatial configuration, has a core.
The core is materialized along the most integrating routes and is the set of most utilized spaces in a plan. Integration cores, both in buildings and in urban settings tend to carry the more collective or more public activities.
In contrast, spaces endowed with less accessibility tend to carry activities that will require a higher degree of privacy or segregation.
So 13 Hillier, B. The concept of topological order is so given by the way a spatial distribution in plan is in tune with the gradations of accessibility. In architecture such gradations of spatial topological architecture and the related topological architecture of movement should happen in agreement with the programmed distribution of activities.
Space shall help the event. Architectural programs carry in themselves the intention of ordering needs and ambitions inherent to the human activities.
Activities, by their very nature, are either more or less demanding of accessibility.