
A. Pythagoras` Theorem
... The discovery of 2 shocked the society and lead to the first crisis of mathematics. After the Pythagoras’ theorem was proved, a follower of Pythagoras, Hippasus of Metapontum (about 500 BC) tried to demonstrate the length of the diagonal of a square with side 1 unit by applying the theorem. However, ...
... The discovery of 2 shocked the society and lead to the first crisis of mathematics. After the Pythagoras’ theorem was proved, a follower of Pythagoras, Hippasus of Metapontum (about 500 BC) tried to demonstrate the length of the diagonal of a square with side 1 unit by applying the theorem. However, ...
Residential Design Guidelines - San Francisco Planning Department
... of architectural expression. These neighborhoods are in large part what make San Francisco an attractive place to live, work, and visit. In order to maintain the visual interest of a neighborhood, it is important that the design of new buildings and renovations to existing buildings be compatible wi ...
... of architectural expression. These neighborhoods are in large part what make San Francisco an attractive place to live, work, and visit. In order to maintain the visual interest of a neighborhood, it is important that the design of new buildings and renovations to existing buildings be compatible wi ...
Leibniz`s Harmonic Triangle Paper
... ultimate definition of the Calculus. We will delve into the harmonic triangle shortly, but first, a brief history of Leibniz leading up to this point. Leibniz was born in Leipzig, Germany, in 1646. His father was a professor of Moral Philosophy at the University of Leipzig, but died when G.W. Leibni ...
... ultimate definition of the Calculus. We will delve into the harmonic triangle shortly, but first, a brief history of Leibniz leading up to this point. Leibniz was born in Leipzig, Germany, in 1646. His father was a professor of Moral Philosophy at the University of Leipzig, but died when G.W. Leibni ...
The Architectural Development of an Early Maya Structure
... implications from the introduction of sculpture and triadic architectural form? If the hypotheses are correct that (1) architecture art and specified architectural forms were probably ideological expressions as theological propaganda by an emerging elite (Hansen, 1991b; 1992a; Martinez and Hansen, 1 ...
... implications from the introduction of sculpture and triadic architectural form? If the hypotheses are correct that (1) architecture art and specified architectural forms were probably ideological expressions as theological propaganda by an emerging elite (Hansen, 1991b; 1992a; Martinez and Hansen, 1 ...
Mathematics and architecture

Mathematics and architecture are related, since, as with other arts, architects use mathematics to shape and sometimes to decorate buildings.In ancient Greece, buildings were laid out with specific proportions. In Islamic architecture, geometric shapes and geometric tiling patterns are used. The pyramids of ancient Egypt have mathematical proportions. Hindu temples have a fractal-like structure where parts resemble the whole.In Renaissance architecture, symmetry and proportion were deliberately emphasized.In the twentieth century, styles such as modern architecture and Deconstructivism explored different geometries to achieve desired effects.