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Sunday, April 3, 2016

Metaphor of the Fourth Dimension and Singapore, the invisible exists

Singapore, invisible country or Metaphor of the Fourth Dimension


The term fourth dimension appears in the fields of physics, mathematics and science fiction; with differences in meaning. In physics, is referring to the time as the fourth dimension, from the approach of the Theory of Relativity. In mathematics, the concept appears to be associated to Euclidean spaces of more than three dimensions or more generally, to locally Euclidean spaces or differentiable 4-varieties. For now we are interested in the mathematical approach and it will take as a basic form of reference the hypercube.

Euclidean Geometry supports forms having more than three dimensions. Three-dimensional polyhedrons are space enclosures made of faces of two connected dimensions. Imagine a cube, a given; the cube has two dimensions and their faces have two dimensions. We turn now to the four-dimensional polychronic enclosures are made of three-dimensional space four-dimensional polyhedra. The four-dimensional hypercube is formed with three-dimensional cubes and squares. (Note 1) The German mathematician Ludwig Schläfli (1814-1895), an original spirit almost forgotten today, even among mathematicians, developed this theory and presented the characteristics of the hypercube.

Singapore is a country that does not even appear in conventional maps, as if it existed in another dimension. It is so small that ranks only 0.00014% of the surface of the earth. For every one million square meters would behoove Singapore a little more than one square meter (1,386 m2). Planispheres develop scales as 1: 225,940,000, ie per linear centimeter on the map 2,256 kilometers of land shown. To see Singapore would have to change the scale 1: 2,259,400, to say for every centimeter 22.59 kilometers would be displayed. A map should be the size of a stadium. Fabulous as Guinness record.


How is it that despite this size, of these special circumstances, Singapore is one of the major developed countries? How is it that in the latest Global Competitiveness Report WEF (World Economic Forum) is second, well ahead of the United States, Germany and other developed countries?

What is reality? Singapore is one of the major global cities, is the nerve center of world trade, has the third largest financial center and the second port moves more goods (Note 2). Its global and diversified economy depends especially trade and manufacturing. In terms of purchasing power parity, Singapore is the third highest per capita income in the world; besides being among the first countries in education, health, political transparency and economic competitiveness.


Even the architecture is first class. As shown talk Airport Singapore is the first in the world in all kinds of things (design, service, comfort).



The following table shows the movement of the port of Singapore in TEUs (containers 2o ft) below: Note that the Peru with more than 2,000 kilometers of coastline moves just 6% of total cargo of  Singapore.


The rapid development of the country has allowed him to develop a power of important influence in international affairs; some analysts see it as a middle power. The independence of the country is completely formalized the August 9, 1965, because the nearby countries virtually ruled as scourges or stinky dogs. Today Singapore is better than them all together.



What lesson do we have now? All that is great, big, efficient model does not have to be big, visible, imposing the material aspect. A great country like Singapore can not even see on the map. The LIDER, not the boss, the leader of a large organization can be in a small officiate, simple, no frills or ostentation, exerting his power and manageability. The ethos of grandeur of Singapore and authentic LIDER make the difference.

Note 1. In three dimensions there are five regular polyhedra (the platonic solids), in four dimensions there are six regular polychronic. Five of the six can be interpreted as natural extensions of platonic solids, as well as the cube, platonic solid, is an extension of two-dimensional square. The pentachoron is made of 5 tetrahedrons for the faces and 10 triangular faces, and the four-dimensional analogue of the tetrahedron. The tesseract, or hypercube, consists of 8 cubical faces and 24 squares, and is the measured four-dimensional polytope.

Note 2. China is the first country, a giant who has ports and gigantic cities such that Singapore could be inserted into any of them.

References


World Economic Forum (2016) Global_Competitiveness_Report_2015-2016
World Economic Forum (2015) Global_Competitiveness_Report_2014-2015
Capítulos 3 y 4: La cuarta dimensión. 

Singapur

Cuarta dimensión

Tráfico marítimo de contenedores (TEU: unidades equivalentes a 20 pies)