Beauty. “Beauty is in the phi of the beholder.” It has long been said that beauty is in the eye of the beholder and thought that beauty varies by race, culture or era. The evidence, however, shows that our perception of physical beauty is hard wired into our being and based on how closely one’s features reflect phi in their proportions. The Golden Ratio appears extensively in the human face, as demonstrated in a 2009 university study on attractiveness and as illustrated by the video below of Florence Colgate, Britain’s “Most Perfect Face” of 2012, : The image analysis shown in the video was done withPhiMatrix Golden Ratio Design and Analysis Software But let’s take a deeper look yet at beauty through the eyes of medical science.
A template for human beauty is found in phi and the pentagon Dr. Click on the image below to watch an independently-created Youtube video showing the Marquardt Beauty Mask being applied in Photoshop with rather amazing results: Variations and other factors in beauty. May 2012. "Nature has a dominant proportional ratio that creates design and order, the approximate ratio is 1.618 to 1 . The Greek mathematician Pythagoras discovered this ratio, The Egyptians have known it for more than a thousand years and it has been proven by psychological tests that humans prefer shapes based Golden ratio over other shapes, since it mirrors the order and sequence found in nature. The Greeks and Renaissance artists understood this principle well and the golden ratio rectangle, golden ratio proportions became widely used for composition in art and architecture.
" Really Magical Numbers !!!!!!!! | Micklr Technologies. Once in 12th century,there was a man who was trying to calculate the ideal expansion of pairs of rabbits over a year .He just discovered some kind of u00c2u00a0relation thatu00c2u00a0 become the favourite game and tool of mathematician and artist.His name was Leonardo Fibonacci u00c2u00a0and the beautiful sequence of numbers were called Fibonacci Numbers. Actually Fibonacci had found that the number of pairs of rabbits at the end of theu00c2u00a0nth month is equal to the number of new pairs plus the number of pairs alive last month u00c2u00a0asuming that u00c2u00a0a newly born pair of rabbits, one male, one female, are put in a field; rabbits never die and a mating pair always produces one new pair (one male, one female) every month from the second month on.
Over the months, with no deaths, the rabbit pair expansion looked like this: The most irony thing is that population of rabbit doesn’t actually expand that way. 1.Architecture and Art The Pyramids have their own Divine Proportions. Logic and Mathematics. Stephen G. Simpson Department of Mathematics April 30, 1999 Pennsylvania State University This article is an overview of logic and the philosophy of mathematics. Contents Logic is the science of formal principles of reasoning or correct inference. One may ask whether logic is part of philosophy or independent of it. Logic is the science of correct reasoning. For example, consider the following inference: This inference is logically correct, because the conclusion ``some real estate is a good investment'' necessarily follows once we accept the premises ``some real estate will increase in value'' and ``anything that will increase in value is a good investment''.
We shall now briefly indicate the basics of Aristotelean logic. Aristotelean logic Aristotle's collection of logical treatises is known as the Organon. Subjects and predicates Aristotelean logic begins with the familiar grammatical distinction between subject and predicate. The fundamental principles of predication are: Identity. Here is all. Alchemy of Metatron's Geometry | Learn the secrets of the Universe here. Cube. The cube is the only regular hexahedron and is one of the five Platonic solids.
The cube is dual to the octahedron. It has cubical or octahedral symmetry. Orthogonal projections[edit] The cube has four special orthogonal projections, centered, on a vertex, edges, face and normal to its vertex figure. The first and third correspond to the A2 and B2 Coxeter planes. Cartesian coordinates[edit] For a cube centered at the origin, with edges parallel to the axes and with an edge length of 2, the Cartesian coordinates of the vertices are while the interior consists of all points (x0, x1, x2) with −1 < xi < 1. Equation in R3[edit] Formulae[edit] For a cube of edge length As the volume of a cube is the third power of its sides A cube has the largest volume among cuboids (rectangular boxes) with a given surface area.
Uniform colorings and symmetry[edit] The cube has three uniform colorings, named by the colors of the square faces around each vertex: 111, 112, 123. Geometric relations[edit] See also[edit] Cube.