Essays on golden ratio

"Amazing Paintings and Golden Ratio" paper examines the term Golden Ratio which is referred to as Golden Ratio, divine proportion, or golden selection, is the number often used when talking about ratios lengths in simple geometrics figures like pentagons and decagons.... The term golden selection was first used by Martin Ohm in the 1835 2nd edition of his textbook Die Reine Elementar-mathematic (Livio 200, p.6). The first known use of this term in English is found in James Sulley's 1875 article on...

This report "The Golden Ratio and Phyllotaxis" discusses Fibonacci numbers and nature. The reason why plants display Fibonacci numbers confirms that the Fibonacci sequence is closely linked to the Golden Ratio and is both irrational and the worst possible good rational.... When dealing with Phylotaxis in plants and animals, the most prominent question is on what is the best way to pack-objects. Ordinarily, the shape of the object would determine the best way to pack the objects. For a square, packing...

The paper "Whether Our Body Has Golden Ratio Proportions" discusses that the Golden Ratio rule applies to inner body organ construction - lungs where the ratio of long bronchi versus short bronchi is found 1.618. Human DNA molecules have lengths of 34 angstroms and width is measured as 21 angstroms.... The numbers are found in the Fibonacci series and their ratio is found to be 1.619. The above examples are not exhaustive and the list is quite long to prove that the human body follows the golden...

Name: Course: Tutor: Date: A Brief Analysis of the Fibonacci Sequence and the Golden Ratio In mathematics, Fibonacci number or Fibonacci sequence is named after famous Italian mathematician Leonardo Pisano Bigollo (1170-1250 AD). This mathematician is often considered as “the most talented western mathematician of the Middle Ages.” () The discovery of Fibonacci sequence is entailed with Fibona cci's travel different countries with his father, Guilielmo, who was a business-diplomat of the Republic...

Additionally, the pyramid apex is not perpendicular, to the base as it is aligned to the true north while the slanting heights form a Golden Ratio (φ) (Stewart, Redline, & Watson, 2015, p.... Approximately, the value of the Golden Ratio φ is 1.... ccording to history, angle 520 is historically considered as pleasing and its correlation to the Golden Ratio makes the Egyptian Pyramids buildings among the many buildings designed using it.... Despite hypothesis that the Golden Ratio is part of numerous natural instances like proportions in the human body, a conclusive prove has not been arrived at....

Marissa Elliott The Golden Ratio, or golden mean, of 618 is a proportion known since antiquity to be the most aesthetically pleasing and has been used repeatedly in art and architecture.... Both the Golden Ratio and the allied golden angle of 137.... In the human heart we found many applications of the Golden Ratio and angle.... Some examples of this type of beauty include conch shells, which follow a spiral described by creating Fibonacci squares, or tree branches that grow in predictable fractal patterns, or the classic example of the Golden Ratio (Dunlap, 8)....

The Golden Ratio of beauty Physical attractiveness, the degree to which an individual's bodily attributes are perceived aesthetically pleasing or beautiful, which has been glorified in society, as the basis for desirability, is a social construct because it entails the universally held socio-cultural perceptions embedded in individual mindsets.... The Golden Ratio provides the fundamental framework for achieving that perfect physical attributes that are perceived to be highly attractive for the sexes in society (Brown, 2005); since antiquity, there is evidence of deliberate attempts by classical Greeks to explain the concept of beauty....

For quartics with two inflection points, of which one or two are horizontal the ratio will be again Golden Ratio.... 18) is commonly referred to as the Golden Ratio.... Then the straight line passing through Q and R meets the graph of y = f(x) in two other distinct points P and S; furthermore PQ = RS and, is the Golden Ratio. ... 1803398:1 (or ) also well-known as a Golden Ratio. ... or W shape quartics, we have already proved the ratio will be Golden Ratio. ...

n geometry the notion of proportion is one of the most basic, most important and the most difficult to deal with precision because it is often confused with the notion of ratio.... “The quantitative comparison between two things” is a simple definition of ratio.... “The ratio between the greater and the small part is equal to the ratio between the whole and the greater part.... These operations can be repeated indefinitely producing alternating ever-growing pulsation of growth in which lines, surfaces, volumes are ruled by the golden section of π (Pi) proportion....

In the essay 'Fibonacci Numbers and the golden Section' the author discusses Fibonacci numbers, named after Leonardo Pisano, also known as Fibonacci, an Italian mathematician of the 13th century.... But they are also related to the so-called 'golden section': given a segment [a,b], to find its golden section means to find a number x on that segment....

The author states that some of antiquity's great minds were the first of many to define human beauty mathematically linking it to geometry, specifically the Golden Ratio.... Civilizations thereafter used the Golden Ratio in various visual art forms believing that the Golden Ratio conceives a beautiful, even magical, value for their art.... Some of antiquity's great minds were the first of many to define human beauty mathematically linking it to geometry, specifically the Golden Ratio....

In later years, the Golden Ratio was used in even more architectural and artistic designs like the Cathedral of Notre Dame and the Mona Lisa painting.... The pentagram contains the “Golden Rectangle” or a rectangle whose sides form the ratio known as the “Golden Mean.... The pentagram contains the “Golden Rectangle” or a rectangle whose sides form the ratio known as the “Golden Mean.... ?? As what we studied in class, a ratio is a relationship between two numbers....

This essay discusses this, the intriguing ubiquity relating to the sequence 1, 1, 2, 3… the Golden Ratio, Phi, in the aesthetic of natural as well as creation of art to our life.... Thematically, this paper explores some mathematical concepts, which possesses aesthetic appeal and captures the ways through which mathematical aesthetic shapes nature and art that result in expression of human response to such forms....

The Modulor is well known to be the foundation of the Golden Ratio and individual measurements.... This, together with the Golden Ratio and other architectural concepts, were some of the vital components that formed the foundation of the Modulor.... The "Le Corbusier's Buildings" paper argues that Le Corbusier dreams of 'cleaning and purging' the city with 'a calm and powerful architecture'....

In terms of elements, Botticelli employs when composing “Birth of Venus” include a Golden Ratio as well as a suggestion of oval configuration.... The dimensions of the canvas come from a golden mean.... Although it is approximately 500 years since it was painted, the painting stills services a representation of beauty....

This proportionate phenomenon follows a pattern based on the Golden Ratio (1: 1.... The bracings and truss system is fashioned out of cut triangular cedar chords to fit the Golden Ratio requirements and the pediment decorations are inclined depending on the roof's pitch angle.... The architectural structure was comprised of well-defined figures and sculptures at its golden age, but as the years gone by, the details gradually disappear and the surfaces break apart by natural calamities....

Schmid et al (2008:2711) take the theory a step further and believe that a face with a Golden Ratio is attractive sexually throughout all cultures.... The author of the paper "The Distinguish Between Sex and Gender, and Sexual Dimorphism" will begin with the statement that sex is biological, such as internal and external sex organs....

Despite the reality that it has been widely perceived that the Alhambra is based wholly in the Golden Ratio and built if golden triangles, it is not correct even though it can explain the beauty of the palace.... A model of the ratio is indicated in Fig 1, where it is indicated that the one-by-one unit initial square goes up to the length of the width of the structure to the upper side of the arches....

From the paper "The Human Tree" it is clear that modern humans have larger brains, more vertical foreheads, smaller brow ridges, smaller jaws and molars, more prominent chins, and more balanced and symmetrical bodies, conforming to the Golden Ratio of 1-1.... Modern humans have larger brains, more vertical foreheads, smaller brow ridges, smaller jaws and molars, more prominent chins and more balanced and symmetrical bodies, conforming to the Golden Ratio of 1-1....

The author of this essay "Product Design and Its Impact on Functional Product Information" casts light on the product design which is of critical importance for managers.... It is stated that design can act as a "strategic tool" that firms can use as a point of differentiation.... ... ... ... Marketers and academics agree that product design is important, and there exists a large body of managerial and quantitative research on design as a component of the new product development process....

Obviously, no one wants frazzled, over-worked/under-paid slip-ups constantly making mistakes, but there is still uncertainty about what the Golden Ratio of patients to nurses should be.... Speciality care units such as the emergency room, maternal and pediatric wards can get by on a 1-4 ratio.... A Comparative Analysis of Nurse-Patient ratio Man s For the Hospital Setting Throughout the United s there is an initiative to create mandatory guidelines regulating the exact number of nurses that must be present at all times during any hours where patients are present and under the care of medical professionals....

The proportional relationship was determined using a mathematical formula, the Golden Ratio.... This report "Archaeological Survey to Classical and Hellenistic Greece" sheds some light on the archaeological survey that refers to the use of different methods that try to understand archaeological sites as well as their wider landscapes....

Thus, this Golden Ratio holds the answer for perfect symmetry in one's organization.... To explain the connection of symmetry and the use of phi to develop a training program or strategy to reflect the perfect ratio, I have constructed a grid called an organisation.... Here, we will also talk about Phi, as the golden ration defines this law of symmetry....

This paper ''the Device MotoRazr2 and Its Design'' tells about the MotoRazr2 as device which is a mobile phone and have a problematic UI design.... UI design is an integral part of any device that has even a little bit of interaction with humans.... Therefore, the user interface plays a pivotal role in making a device worthwhile....

Examples are: ‘The Golden Ratio' (The famous portrait of Mona Lisa exhibits an aesthetic application of divine ratio), ‘The Pyramids', ‘The Parthenon', ‘De Divina Porportione' and so on.... TITLE: "DESPITE DIFFERENCES IN THE NATURE OF SCIENCES CAN MATHEMATICS BE APPLIED TO ARTS AND BIOLOGY?...

Le Corbusier was using the Golden Ratio in his work and that lead him to create the Modular, a continuation of DaVincis Vitruvius man.... From the paper "The Chair as an Icon of Design in History" it is clear that iIn approaching design, form and function must be considered and, an anti-rational approach would involve taking unorthodox design decisions into consideration, but this has to do with the designer's character and ideals....

First of all, they had discovered the Golden Ratio of 1:1.... he Mayan civilization's golden age is estimated to be from around 250 B.... The golden age of Chinese mathematics started in 13th century when more than thirty mathematic schools started operating across China.... It is interesting to note that their Holy book, Qur'an taught them to gather knowledge and moved them into golden Age of Islamic science and mathematics....

For instance in the Timaeus Socrates argues mathematics in terms of music theory, and the construction of the Pythagorean Scale; he also references the Golden Ratio.... The author of the present essay "The Comparison of Philosophies of Plato Aristotle and Plotinus" explains that Plato and his writings through the Platonic Dialogues constitute one of the foundational elements of the Western philosophic tradition....

This essay analyzes that church architecture changed a lot from its early beginnings during Constantine's rule up to the eleventh century; however, at first glance the churches still appear to have many of the same elements.... It initially began as a basilica, and then turned into a domed basilica....

"The Modification Needed to Increase the Compression ratio of Holden Engine to 12:1" paper calculates the heat transfer dissipated by the radiator fitted to a four-cylinder automotive engine for use in the NGV vehicle using calibrated thermocouples as well as computer data acquisition set up.... By varying the head gaskets' inch thickness, one can successfully heighten the ratio by making the top of the volume heavy, hence, it will out weight the present volume in components located at the engine's lower area....

The financial statements also facilitate in computation of the ratio which can be compared with the past figures to check for any variations or improvements.... This is partly due to a rise in the cost to sales ratio of the company.... The ratio was 0.... he Current ratio measures the liquidity position of the company.... Ideally this ratio must be 2 but this may vary across the industries.... The current ratio of GAR for the years 2006, 2007 and 2008 is 1....

rom the analysis, we can see that, in the first year the short term ratio was above 1, 2, in the second year, the short term ratio declined to 0.... However, the hotel experienced a great increase in the ratio towards year 3 whereby it recorded a financial short term stability ratio of 1.... he long term stability ratio of the Golden Star in the fists year was very low; a figure of 0.... , the ratio was experienced to rise in the second year where the record was 3....

This research paper "The golden Age of Radio" presents a Digital Deli site that was extraordinary hard to use.... Most of its MP3 files were behind a paid subscription service; those that were not tended to be unhelpful items such as audition tapes and outtakes.... ... ... ... The main section of the show was a satire of Double Indemnity featuring Marx in the McMurray role....

6 which is an indicator that the company is performing well, their debt to the asset to the ratio which is the extent to which the assets have been financed by debt also reduced from 61% to 58%.... 6 which is an indicator that the company is performing well, their debt to the asset to the ratio which is the extent to which the assets have been financed by debt also reduced from 61% to 58%.... earing ratio ... ebt-to-asset ratio ...

The trend lines will include ratio analysis, accounting treatment as well as methods used and common size.... The trend lines will include ratio analysis, accounting treatment as well as methods used and common size.... ividend Payout ratio ... urrent ratio ... uick ratio ... ividend Payout ratio ... urrent ratio ... uick ratio ... Recently, the company entered in to an agreement with golden Cross Operations Pty Limited, this agreement is called farming and joint venture agreement....

The paper "Gaps in Health Care Delivery System" discusses that generally, in the wake of increased healthcare needs, and health interest in the safe-staffing ratio between nurses and patients, the government has sadly, ignored the calls to employ more nurses.... California state became the first to implement a nurse-patient staffing ratio.... Gaps in Health Care Delivery System Affiliation Gaps in health care delivery system Introduction In the wake ofincreased health care needs,health interest on the safe-staffing ratio between nurses and patients, the government has sadly, ignored the calls to employ more nurses....

The company's quick ratio is 3.... The current ratio is 3.... 4 while total debt to equity ratio is 99.... The company's financial ratio reveals stability and growth oriented company.... The data was analyzed using ratio analysis.... The financial ratio such as Liquidity Analysis ratio, current ratio and many others are compared with the relevant industry ratios to get the current performance of the company....

The paper 'The ratio of Older People' presents the population of the UK that comprises a good amount of the elderly.... The ratio of older people owning their homes decreases with an increase in their age.... The ratio of older people owning their homes decreases with increase in their age....

Hershey has not just improved its figures but it has excelled in its operational efficiency as well; in 2010, the ratio of income to sales was 8.... % against 2013 when the ratio value was 11.... The price/Book ratio indicates high anticipations by the market related to the company's performance.... In 2012 and 2013, it acquired all the outstanding shares of Brookside Foods limited and Shanghai golden Monkey Food Joint Stock....

Total Revenue 15 Figure 7: Current ratio Apple Inc.... Technical and Fundamental Analysis of Apple Inc.... Contents Contents 1 1.... ntroduction: 3 2.... echnical Analysis: 5 2.... Trend Analysis: 6 2.... Simple Moving average: 9 2.... Moving Average Conversion Diversion: 11 2....

he F-test is a ratio of the variances, and measures the similarity of the results obtained using two different methods (fao.... The recovery, in terms of percentage, is a ratio of the actual result and the theoretical value in the study (Narayana and Sunil, 207 – 208).... The researchers used the odds ratio and % confidence interval to quantify their observations.... However, in the calculation of the odds ratio, adjustments had to be made to account for age, gender and smoking habits of the participants....

The concentration ratio and the market share are directly related.... It means, if the market share of the firms is more, the concentration ratio is also more.... If the market share of the firms is less, the concentration ratio is also less.... If the concentration ratio is zero, the firms have no control over the market, but if the concentration ratio is 100, firms have full control over the market. ... Keystone is headquartered in golden, Colorado with facilities in North America, Europe and Asia....

This means that labor-capital ratio adjusts itself over time to the direction of the equilibrium ration.... The paper "Solow Growth Model Analysis" critically analyzes the basic components as well as the assumptions given by the Solow growth model and explores the role played by the golden rule in its context.... The paper will also discuss the basic components as well as the assumptions given by the Solow growth model and explore the role played by the golden rule in its context....

he ratio decidendi is the part that is binding during judicial decision making.... It is always hard to differentiate between ratio decidendi and obiter dictam during judgment (Benton, 34).... The rules include the Mischief Rule, the golden Rule and the Literal Rule (Manchester, 29).... he golden Rule is similar to the Literal Rule except it can eliminate absurd meaning.... Another case that applied the golden Rule is the one between Keene and Muncaster (1980)....

In the United States, the capital share of GDP is about 30%, the average growth in output is about 3% per year, the depreciation rate is about 4% per year, and the capital-output ratio is about 2.... What will the capital-output ratio be at the Golden Rule steady-state?... (Hint: recall from Chapter 3 that for the Cobb-Douglas production function, the capital-output ratio is related to the marginal product of capital).... At the golden rule the saving rate is higher meaning hat capital per worker is also high at the golden Rule steady state as compared to the initial state....

Growth is dependent on the savings income ratio and net savings and investment are found to be proportional to income and the produced output of the nation.... /p labor ratio A savings sf(k) ... K/L ratio ...

9 percent return on equity ratio.... 0 percent price-to-earnings ratio.... 0 percent revenue growth ratio.... 0 percent earnings per share growth ratio.... 0 percent long-term growth rate ratio.... Trump will ensure the purchase of golden Nuggets.... With Bally's January 19, 1987 purchase of golden Nuggets Inc's Atlantic City Casino, Bally will own two casinos.... Trump's current ownership of two casinos in Atlantic City, the Bally purchase of golden Nuggets Inc....

Table 1: Documentary Financial Statement Analysis Table Period ending 2010 Financial Statement ratio Coke America Profit Margin ratio 34% Return on Equity ratio 33% Receivables Turnover 8.... 8 Liquidity: Current ratio 1.... Profit Margin ratio.... The ratio indicates a favorable image of the company, Coca Cola America.... The above table indicates the company generated a return on equity ratio of 33% during 2010....

The return on capital employed ratio indicates how efficiently a firm is able to generate revenue from the capital which it employs (Fleisher and Bensoussan, 2003).... iquidity ratios- Current ratio helps in identifying whether a firm has the adequate ability to pay off its debts for the current financial period.... Quick ratio helps in measuring the short term liquidity of the firm.... fficiency ratios- The asset turnover ratio indicates a firm's ability to generate revenues from the use of its assets....

Liquidity ratio 9 3.... Solvency ratio 10 3.... Profitability ratio 11 3.... Efficiency ratio 13 3.... In this regards the customer feedback is tracked and measured through the ratio of customer acclamation to complaints on personnel rudeness (Southwest Airlines, 2010a).... For further assessment, ratio analysis is conducted.... ratio analysis is the technique through which the financial statement of the company is analysed....