The skeleton of the icosahedron—the vertices and edges—form a graph. The high degree of symmetry of the polygon is replicated in the properties of this graph, which is distance-transitive, distance- ...
If the edge length of a regular icosahedron is a, the radius of a circumscribed sphere (one that touches the icosahedron at all vertices) isr_u = \frac{a}{2} \sqrt{\varphi \sqrt{5}} = \frac{a}{4} \sqr ...
The surface area of a sphere is:A = 4\pi r^2.Archimedes first derived this formula from the fact that the projection to the lateral surface of a circumscribed cylinder (i.e. the Lambert cylindrical eq ...
Fuller claimed that his map had several advantages over other projections for world maps.It has less distortion of relative size of areas, most notably when compared to the Mercator projection; and le ...
Buckminster Fuller spoke and wrote in a unique style and said it was important to describe the world as accurately as possible. Fuller often created long run-on sentences and used unusual compound wor ...
Fuller was born on July 12, 1895, in Milton, Massachusetts, the son of Richard Buckminster Fuller and Caroline Wolcott Andrews, and also the grandnephew of the American Transcendentalist Margaret Full ...
A map's orientation is a trivial technical matter and therefore the cartographic literature barely discusses it. As a psychological matter, however, at least one study suggests that the prevailing nor ...
These charts, actually rough maps, were based on accounts by medieval Europeans who sailed the Mediterranean and Black Sea coasts. Such charts were later drafted for coastal resources in the Atlantic ...
As with the model of the solar system in the Almagest, Ptolemy put all this information into a grand scheme. He assigned latitude and longitude coordinates to all the places and geographic features he ...
The Palestinian National Authority views East Jerusalem as occupied territory according to United Nations Security Council Resolution 242. The Palestinian Authority claims Jerusalem, including the Har ...
In 538 BCE the Persian King Cyrus the Great invited the Jews of Babylon to return to Judah to rebuild the Temple. Construction of the Second Temple was completed in 516 BCE, during the reign of Darius ...
Further information: Names of JerusalemA city called Ru?alim in the Execration texts of the Middle Kingdom of Egypt (c. 19th century BCE) is widely, but not universally, identified as Jerusalem. Jeru ...
The map is signed by or attributed to one "Richard of Haldingham and Lafford", also known as Richard de Bello, "prebend of Lafford in Lincoln Cathedral". Drawn on a single sheet of vellum, it measures ...
Main article: Edo CastleAfter the capitulation of the Shogunate and the Meiji Restoration, the inhabitants, including the Shogun Tokugawa Yoshinobu, were required to vacate the premises of the Edo Cas ...
Main article: Edo periodFrom the establishment of the Tokugawa bakufu's headquarters at Edo, although Kyoto remained the formal capital of the country, the de facto capital and center of political pow ...
