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Gott, Goldberg and Vanderbei’s double-sided disk map was designed to minimize all six types of map distortions. Not properly "a" map projection because it is on two surfaces instead of one, it consists of two hemispheric equidistant azimuthal projections back-to-back. [5] [6] [7] 1879 Peirce quincuncial: Other Conformal Charles Sanders Peirce
Often architectural morphologies are reflexive or indicative of political influences of their time and perhaps more importantly, place. Other influences on the morphological form of the urban environment include architects, builders, developers, and the social demographic of the particular location [ 2 ]
In a formal typology, building types are usually distinguished by their basic shape, site placement, and scale, but not by their specific architectural style, technology, chronology, geographical location or use. [6] For example, a cursory formal analysis of the townhouse will identify the following "minimum essential formal characteristics."
It comes in different shapes and sizes and also has a symbolic value since it helps users of the urban spaces to identify the building and its entrance through the various forms of the element. The size of the interior spaces and the width of the street the building faces also affect the size and shape of the tarma. [citation needed]
Historically, multiple approaches were suggested to address the reflection of the structure in the appearance of the architectural form. In the 19th-century Germany, Karl Friedrich Schinkel suggested that the structural elements shall remain visible in the forms to create a satisfying feeling of strength and security, [3] while Karl Bötticher as part of his "tectonics" suggested splitting the ...
The architecture of Ancient Greece and Ancient Rome, derived from the ancient Mediterranean civilizations such as at Knossos on Crete. They developed highly refined systems for proportions and style, using mathematics and geometry.
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In mathematics, given two submanifolds A and B of a manifold X intersecting in two points p and q, a Whitney disc is a mapping from the two-dimensional disc D, with two marked points, to X, such that the two marked points go to p and q, one boundary arc of D goes to A and the other to B.