The COVID-19 pandemic has resulted in a wide range of spatial interventions to slow down the spread of the virus. The spatial limitations of narrow public circulation spaces within informal settlements, which house over one billion people around the world, make it impossible for pedestrians to practice physical distancing (or social distancing). In this paper, we propose a flexible mathematical method, named the Cluster Lane Method, for turning a planar circulation network of any size or complexity into a network of unidirectional lanes, making physical distancing possible in narrow circulation spaces by limiting face-to-face interactions. New notions and theorems about oriented graphs in graph theory are introduced. The paper ends with a discussion of the potential implementation of this cost-efficient, low-tech, sustainable solution, and with the introduction of a novel unidirectional tactile paving for the visually impaired.
The COVID-19 pandemic has resulted in a wide range of spatial interventions to slow the spread of the virus. The spatial limitations of narrow public circulation spaces within informal settlements, which house over 1 billion people around the world, make it impossible for pedestrians to practice physical distancing (or social distancing). A flexible mathematical method, the Cluster Lane Method, is proposed for turning a planar circulation network of any size or complexity into a network of unidirectional lanes. This makes physical distancing possible in narrow circulation spaces by limiting face-to-face interactions. The opportunities and challenges are discussed for the implementation of this cost-efficient, low-tech solution. New notions and theorems are introduced for oriented graphs in graph theory. PRACTICE RELEVANCEA new approach based on graph theory is used to address the problem of COVID-19 contagion in the narrow public circulation networks of informal settlements. The Cluster Lane Method shows how to convert a planar circulation network of any size or complexity into a network of unidirectional lanes. This makes physical distancing possible in narrow circulation spaces by limiting face-to-face interactions between pedestrians. By involving the inhabitants of the informal settlement throughout the process, more adequate orientations of the lanes can be found.
The COVID-19 pandemic heightened inequalities of universal accessibility in the built environment. The visually impaired have been affected by the lack of mobility that resulted from social distancing and physical distancing. Numerous circulation networks, from small retail shops to large-scale public spaces, have been reorganized to limit the spread of COVID-19. By assigning an orientation to each lane, unidirectional circulation networks allow for physical distancing by limiting face-to-face interactions among most pedestrians. These unidirectional networks are communicated visually, by placing flat arrows on the floor, but not through the other senses and are thus inaccessible to the visually impaired. This demonstrates a lack of universally accessible design for unidirectional circulation. We propose two designs (asymmetrical blocks and cobblestone blocks) for a novel unidirectional tactile paving which allows the visually impaired to navigate through unidirectional circulation networks by feeling tiles with their feet and/or canes.
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