Urban design is an approach to the design of buildings and the spaces between them that focuses on specific design processes and outcomes. In addition to designing and shaping the physical features of towns, cities, and regional spaces, urban design considers 'bigger picture' issues of economic, social and environmental value and social design. The scope of a project can range from a local street or public space to an entire city and surrounding areas. Urban designers connect the fields of architecture, landscape architecture and urban planning to better organize physical space and community environments.
In geography, regions, otherwise referred to as areas, zones, lands or territories, are portions of the Earth's surface that are broadly divided by physical characteristics, human impact characteristics, and the interaction of humanity and the environment. Geographic regions and sub-regions are mostly described by their imprecisely defined, and sometimes transitory boundaries, except in human geography, where jurisdiction areas such as national borders are defined in law. More confined or well bounded portions are called locations or places.
The Seven Bridges of Königsberg is a historically notable problem in mathematics. Its negative resolution by Leonhard Euler in 1736 laid the foundations of graph theory and prefigured the idea of topology.
Urban structure is the arrangement of land use in urban areas, in other words, how the land use of a city is set out. Urban planners, economists, and geographers have developed several models that explain where different types of people and businesses tend to exist within the urban setting. Urban structure can also refer to urban spatial structure, which concerns the arrangement of public and private space in cities and the degree of connectivity and accessibility.
In mathematics, computer science and especially graph theory, a distance matrix is a square matrix containing the distances, taken pairwise, between the elements of a set. Depending upon the application involved, the distance being used to define this matrix may or may not be a metric. If there are N elements, this matrix will have size N×N. In graph-theoretic applications, the elements are more often referred to as points, nodes or vertices.
In computer science, a topological sort or topological ordering of a directed graph is a linear ordering of its vertices such that for every directed edge (u,v) from vertex u to vertex v, u comes before v in the ordering. For instance, the vertices of the graph may represent tasks to be performed, and the edges may represent constraints that one task must be performed before another; in this application, a topological ordering is just a valid sequence for the tasks. Precisely, a topological sort is a graph traversal in which each node v is visited only after all its dependencies are visited. A topological ordering is possible if and only if the graph has no directed cycles, that is, if it is a directed acyclic graph (DAG). Any DAG has at least one topological ordering, and algorithms are known for constructing a topological ordering of any DAG in linear time. Topological sorting has many applications, especially in ranking problems such as feedback arc set. Topological sorting is possible even when the DAG has disconnected components.
A cognitive map is a type of mental representation which serves an individual to acquire, code, store, recall, and decode information about the relative locations and attributes of phenomena in their everyday or metaphorical spatial environment. The concept was introduced by Edward Tolman in 1948. He tried to explain the behavior of rats that appeared to learn the spatial layout of a maze, and subsequently the concept was applied to other animals, including humans. The term was later generalized by some researchers, especially in the field of operations research, to refer to a kind of semantic network representing an individual's personal knowledge or schemas.
Environmental psychology is a branch of psychology that explores the relationship between humans and the external world. It examines the way in which the natural environment and our built environments shape us as individuals. Environmental psychology emphasizes how humans change the environment and how the environment changes humans' experiences and behaviors. The field defines the term environment broadly, encompassing natural environments, social settings, built environments, learning environments, and informational environments. According to an article on APA Psychnet, environmental psychology is when a person thinks of a plan, travels to a certain place, and follows through with the plan throughout their behavior.
A spatial network is a graph in which the vertices or edges are spatial elements associated with geometric objects, i.e., the nodes are located in a space equipped with a certain metric. The simplest mathematical realization of spatial network is a lattice or a random geometric graph, where nodes are distributed uniformly at random over a two-dimensional plane; a pair of nodes are connected if the Euclidean distance is smaller than a given neighborhood radius. Transportation and mobility networks, Internet, mobile phone networks, power grids, social and contact networks and biological neural networks are all examples where the underlying space is relevant and where the graph's topology alone does not contain all the information. Characterizing and understanding the structure, resilience and the evolution of spatial networks is crucial for many different fields ranging from urbanism to epidemiology.
Kevin Andrew Lynch was an American urban planner and author. He is known for his work on the perceptual form of urban environments and was an early proponent of mental mapping. His most influential books include The Image of the City (1960), a seminal work on the perceptual form of urban environments, and What Time is This Place? (1972), which theorizes how the physical environment captures and refigures temporal processes.
Behavioral geography is an approach to human geography that examines human behavior by separating it into different parts. In addition, behavioral geography is an ideology/approach in human geography that makes use of the methods and assumptions of behaviorism to determine the cognitive processes involved in an individual's perception of or response and reaction to their environment. Behavioral geographers focus on the cognitive processes underlying spatial reasoning, decision making, and behavior.
Principles of Intelligent Urbanism (PIU) is a theory of urban planning composed of a set of ten axioms intended to guide the formulation of city plans and urban designs. They are intended to reconcile and integrate diverse urban planning and management concerns. These axioms include environmental sustainability, heritage conservation, appropriate technology, infrastructure-efficiency, placemaking, social access, transit-oriented development, regional integration, human scale, and institutional integrity. The term was coined by Prof. Christopher Charles Benninger.
Site analysis is a preliminary phase of architectural and urban design processes dedicated to the study of the climatic, geographical, historical, legal, and infrastructural context of a specific site.
In behavioral geography, a mental map is a person's point-of-view perception of their area of interaction. Although this kind of subject matter would seem most likely to be studied by fields in the social sciences, this particular subject is most often studied by modern-day geographers. They study it to determine subjective qualities from the public such as personal preference and practical uses of geography like driving directions.
A landmark is a recognizable natural or artificial feature used for navigation, a feature that stands out from its near environment and is often visible from long distances.
Crime pattern theory is a way of explaining why people commit crimes in certain areas.
A discrete global grid (DGG) is a mosaic that covers the entire Earth's surface. Mathematically it is a space partitioning: it consists of a set of non-empty regions that form a partition of the Earth's surface. In a usual grid-modeling strategy, to simplify position calculations, each region is represented by a point, abstracting the grid as a set of region-points. Each region or region-point in the grid is called a cell.
Building typology refers to building and documenting buildings according to their essential characteristics. In architectural discourse, typological classification tends to focus on building function (use), building form, or architectural style. A functional typology collects buildings into groups such as houses, hospitals, schools, shopping centers, etc. A formal typology groups buildings according to their shape, scale, and site placement, etc. Lastly, a stylistic typology borrows from art history and identifies building types by their expressive traits, e.g. Doric, Ionic, Corinthian, baroque, rococo, gothic, arts and crafts, international, post-modern, etc.
Imageability is a measure of how easily a physical object, word or environment will evoke a clear mental image in the mind of any person observing it. It is used in architecture and city planning, in psycholinguistics, and in automated computer vision research. In automated image recognition, training models to connect images with concepts that have low imageability can lead to biased and harmful results.
Wayfinding has been used in the context of architecture to refer to the user experience of orientation and navigating within the built environment.
