In this paper, we briefly introduce different types of buildings such as spherical buildings, Euclidean buildings, twin buildings, R-buildings and describe some of their applications to many subjects: (1) differential geometry such as Mostow strong rigidity, rank rigidity of nonpositively curved manifolds, Margulis superrigidity, quasi-isometry rigidity, classification of isoparametric manifold...

Potentially influential spaces in the spatial networks of cities can be detected by means of the entropy participation ratios. Local (connectivity) and global (centrality) entropies are considered. While the connectivity entropy has a tendency to increase with the city size, the centrality entropy is decreasing that reflects the global connectedness of cities. In urban networks , the local and ...

the public spaces in our today’s lives involve many sorts of activities, and the design of such spaces requires a wide range of studies. one of the critical studies in our country, due to its climatic variety, is about the thermal comfort of public outdoor spaces. this article has been conducted to investigate about possible architecture and landscape architecture design measurements which coul...

Human’s disregard to nature and consequently his living environment’s distance from natural endowments and potentials have caused many problems. Human’s living spaces are less desirable for him, and have destroyed his comfort in many cases, as man-made things. In this regard, public open spaces in residential areas can be mentioned because they are usually considered among the most vulnerable s...

Urban fabric characterization is very useful in urban design, planning, modeling and simulation. It is traditionally considered as a descriptive task mainly based on visual inspection of urban plans. Cartographic databases and geographic information systems (GIS) capabilities make possible the analytical formalization of this issue. This paper proposes a renewed approach to characterize urban f...

The Internet of Things presents a groundwork for thinking about the implications and applications for connected, animated and interactive architectural spaces. The growing number of ubiquitous and embedded computing technologies introduces a new paradigm for how we interact with the built environment, while mobile and pervasive devices offer new possibilities for sensing and communicating with ...

Recall that the quasi-isometry group QI(X) of a metric space X is the set of equivalence classes of quasi-isometries f : X → X, where two quasiisometries f1, f2 are equivalent iff supx d(f1(x), f2(x)) <∞ (here we consider G as a metric space with a word metric). One approach to this question, which has been the most successful one, is to find an ‘optimal’ space X quasi-isometric to G and show t...