What would Maurits Cornelis Escher’s Regular Division of the Plane with

Research Question: What would Maurits Cornelis Escher’s Regular Division of the Plane with Birds look like on the torus? Maurits Cornelis Escher was born in Leeuwarden, Holland in 1898. He showed an interest in design and drawing, and this led him to a career in graphic art. His work was not given much recognition until 1956 when he had his first important exhibition which led him to worldwide fame. He was inspired by the math he read about and his work related to those mathematical principles. This is interesting because he only had formal mathematical training through secondary school. He worked with non-Euclidean geometry and â€Å"impossible† figures. His work covered two main areas: geometry of space and logic of space. They included tessellations, polyhedras, and images relating to the shape of space, the logic of space, science, and artificial intelligence (Smith, B. Sidney). Although Escher worked with a wide variety of art, the main focus of this paper will be tessellations. This brings me to my research question: how does Maurits Cornelis Escher’s Regular Division of the Plane w ith Birds relate to the tiling view of the torus? Tessellations and the torus are related to mathematics in the areas of geometry, topology, and the geometry of space. â€Å"A regular tiling of polygons (in two dimensions), polyhedras (three dimensions), or polytopes (n dimensions) is called a tessellation.† (Weisstein, Eric W.). Tessellations, or regular divisions of the plane, cover the entire plane without leaving any gaps or overlapping (http://www.mathacademy.com/pr/minitext/escher/). The word â€Å"tessellate† comes from the Greek word â€Å"tesseres† which means four in English. This relates to tessellations 2 because the first ones were made of square ... ...oks, Inc., 1999. Index of /internet-cd/Test/Escher. 22 October, 1997. 28 July. 2005. . Locher, J.L. M.C. Escher. New York: Harry N Abrams, 1992. M. C. Escher print: Study of the Regular Division of the Plane with Horsemen. Skaalid, Bonnie. Web Design for Instruction. 28 July. 2005. . Softimage-3D Importer - Example Renderings. Okino Computer Graphics. 28 July. 2005. . Tessellation. Weisstein, Eric W. Wolfram Research, Inc. 28 July. 2005. . The Mathematical Art of M.C. Escher. Smith, B. Sidney. Math Academy Online. 20 July. 2005. . The Oldest Escher Collection on the Web. Cordon Art. 28 July. 2005. . What would Maurits Cornelis Escher’s Regular Division of the Plane with Research Question: What would Maurits Cornelis Escher’s Regular Division of the Plane with Birds look like on the torus? Maurits Cornelis Escher was born in Leeuwarden, Holland in 1898. He showed an interest in design and drawing, and this led him to a career in graphic art. His work was not given much recognition until 1956 when he had his first important exhibition which led him to worldwide fame. He was inspired by the math he read about and his work related to those mathematical principles. This is interesting because he only had formal mathematical training through secondary school. He worked with non-Euclidean geometry and â€Å"impossible† figures. His work covered two main areas: geometry of space and logic of space. They included tessellations, polyhedras, and images relating to the shape of space, the logic of space, science, and artificial intelligence (Smith, B. Sidney). Although Escher worked with a wide variety of art, the main focus of this paper will be tessellations. This brings me to my research question: how does Maurits Cornelis Escher’s Regular Division of the Plane w ith Birds relate to the tiling view of the torus? Tessellations and the torus are related to mathematics in the areas of geometry, topology, and the geometry of space. â€Å"A regular tiling of polygons (in two dimensions), polyhedras (three dimensions), or polytopes (n dimensions) is called a tessellation.† (Weisstein, Eric W.). Tessellations, or regular divisions of the plane, cover the entire plane without leaving any gaps or overlapping (http://www.mathacademy.com/pr/minitext/escher/). The word â€Å"tessellate† comes from the Greek word â€Å"tesseres† which means four in English. This relates to tessellations 2 because the first ones were made of square ... ...oks, Inc., 1999. Index of /internet-cd/Test/Escher. 22 October, 1997. 28 July. 2005. . Locher, J.L. M.C. Escher. New York: Harry N Abrams, 1992. M. C. Escher print: Study of the Regular Division of the Plane with Horsemen. Skaalid, Bonnie. Web Design for Instruction. 28 July. 2005. . Softimage-3D Importer - Example Renderings. Okino Computer Graphics. 28 July. 2005. . Tessellation. Weisstein, Eric W. Wolfram Research, Inc. 28 July. 2005. . The Mathematical Art of M.C. Escher. Smith, B. Sidney. Math Academy Online. 20 July. 2005. . The Oldest Escher Collection on the Web. Cordon Art. 28 July. 2005. .

Nissan Motor Company Ltd

Nissan motor company is a famous car manufacturing company that is recognized in the manufacture of Nissan type of cares. It is one of the largest car manufacturing companies in the world. Why demand and sales volume for a specific region are important when planning marketing strategies Cost allocation Marketing is a costly affair and as such its planning is quite essential. Some geographical regions demand more of the Nissan Motor cars than others. The essence of marketing is to create awareness of the existence and benefit of any commodity. Demand sales volume is therefore an important phenomenon when marketing as more costs will be allocated to geographical areas with low demand and poor sales volume. For areas when the demand and subsequent sales of the Nissan cars is considerably high, the firm need not pour lot of resources for the purpose of marketing. Demand When an analysis is carried out on demand in terms of classes of customers or age, it will help the organization in knowing the marketing methodologies to apply. If the Nissan cars are mostly used by young people, then marketing will also be done by young people and be carried in a manner to capture the attention of young people. The same applies when it is found out that it is elderly people who demand the cars more oftenly. Then the marketing would have to be strategize in away to accommodate them. Product differentiation Forecasting demand and sales volume provides a useful pattern of purchase by customers. When this is further stratified, it is possible to identify how the sales differed across different products. The same product’s demand might change due to product differentiation. Product packaging will then be strategized in a way to conform with what customers require more. Forecasts on where the industry will go in the future For the past 20 years the sales of Nissan Motor Company have increased by about 20%. This is due to intense auto – advertising campaigns. It is believed that the company will in the near future engulf the entire global market because of the awareness caused through better improved marketing strategies. It has also been forecasted that the industry will in future be the market leaders. Intelligent rationale as to why think this way This is because of extensive and hi – tech marketing. It is also because of the fact that many customers would be reached. Lastly, other companies are likely to be overshadowed by the Nissan Motor Company thus leaving it as almost monopolistic firms. Forecast on how the state of industry will change over the course of the foreseeable future Initially the company advertised its fleet of vehicles through the audio – visual media only i.e. through the radios and television. This was found not to be satisfactory and convincing on the customers. Then came the marketing through the company journals being circulated in offices and other working places for all and sundry to read and understand. The company has also used the web where various websites portray/ give various places of information. It is forecasted that in future the company would embrace â€Å"trade – exhibitions† us its marketing strategy. This involves displaying of their cars openly for the public view. It also allows customers to physically view the vehicles and where marketers more them around the workshops answering their questions in the process. How the changes came about These marketing changes came as a result of a number of factors. These are a)  Ã‚  Ã‚  Ã‚  Ã‚   Stiff Competition There was need to deviate from the usual marketing strategies being practiced by similar firms in the industry to more sophisticated and relevant ones. b)  Ã‚  Ã‚  Ã‚   Globalization / free trade The exhibitions especially in other countries have been facilitated due to globalization and free market. Countries now allow other countries to freely market their products in their own motherland and this has enhanced marketing for the Nissan Motor Company. c)  Ã‚  Ã‚  Ã‚  Ã‚   Need to reach wider market The domestic market is quite insufficient and cannot be therefore relied upon by any organization to improve its sales volume. The need to reach a wider market has therefore led to such an evolution of the marketing industry from just a media exercise to Mega trade exhibitions. d)  Ã‚  Ã‚  Ã‚   Global demand for product Because of their nature, Nissan cars attract a significant demand. They are efficient in fuel consumption and durable. This makes them highly preferably compared to other makes/ types of cares. This high demand calls for extensive and global advertisement and marketing by the Nissan motor company. Impact of the changes on the industry a)  Ã‚  Ã‚  Ã‚  Ã‚   Considerable growth The evolution of the marketing strategies has led to the opening branches and /or selling points for the motor company. b)  Ã‚  Ã‚  Ã‚   High profitability The new marketing strategies have led to a tremendous improvement of the company’s profits though the advertising costs have also gone upwards. c)  Ã‚  Ã‚  Ã‚  Ã‚   Reduced competition Other similar firms have failed to fairly compete with the motor company due to its unique strategies Impact on buyers The buyers have maintained their loyalty on the Nissan cars due to the trade exhibitions which offer buyers the opportunity to physically see their products and ask questions. And because of their appreciation of their vehicles, average prices at which the buyers are willing to pay for them has also gone upwards.      

Debate of Gore/Bush

Gore believes that teachers should be able to have one on one sessions with their students and in order to do so he believes that classrooms should be smaller and more teachers should be hired. In order to hire more teachers he believes that teachers who teach a subject which was their own major should receive a bonus. He feels that education is important because â€Å"the students of today build the economy of tomorrow.† Bush believes that education is our first priority in this country. He believes that education should be both flexible for the students and the educators. He believes that more money should go into school funding and teachers should have a pay increase. He feels as though literacy is a big problem among children and he moves toward a structure of education that ensures a child his ability to read. Gore seems to be working towards helping the middle class population and hopes to pass a bill to give the middle class a tax cut. Bush is for big business and free enterprise. He feels that the government should not regulate big businesses and that competition in the economy is a very good thing.. Gore states that he is not afraid to take on drug companies to give medicare benefits to the elderly and bring down prescription prices to fit the elderly needs. He believes that we should slowly move step by step towards universal health coverage. He wants to make the health care plan better for those who have one and provide a health care plan for those who do not. Within four years he wants to make health care available for every child. He spoke of tax credit for individual health plans and an encouragement to businesses to give health care twenty-five percent credit. Bush is opposed to a national health care system. He stated that in the eight years that Clinton and Gore served nothing was done about medicare or social security. Bush also believes that Gore†s plans for healthcare cannot be carried out with our country†s budget and Bush believes Gore is a big spender. Bush stated how he provided health care for everyone in Texas and how a national health care plan would fail. I feel as though both candidates were pushing to get all of the issues in within this last debate and that made them not have much backup for all of their statements. I think this was just a â€Å"playground argument† between the two candidates. They both were trying to say they were the better candidate but they truly did not give us a reason why. Both candidates seemed to have some optimistic ideas for America but I just don†t see how some of their bills and plans would ever work. Although the debate did not show a good turnout for me I still feel as though Gore has more intelligence on his behalf and has exactly what America needs to expand us technologically.

The First Voyage of Christopher Columbus (1492-1493)

The First Voyage of Christopher Columbus (1492-1493) How was the first voyage of Columbus to the New World undertaken, and what was its legacy? Having convinced the King and Queen of Spain to finance his voyage, Christopher Columbus departed mainland Spain on August 3, 1492. He quickly made port in the Canary Islands for a final restocking and left there on September 6. He was in command of three ships: the Pinta, the Nià ±a, and the Santa Marà ­a. Although Columbus was in overall command, the Pinta was captained by Martà ­n Alonso Pinzà ³n and the Nià ±a by Vicente Yaà ±ez Pinzà ³n. First Landfall: San Salvador On October 12, Rodrigo de Triana, a sailor aboard the Pinta, first sighted land. Columbus himself later claimed that he had seen a sort of light or aura before Triana did, allowing him to keep the reward he had promised to give to  whoever spotted land first. The land turned out to be a small island in the present-day Bahamas. Columbus named the island San Salvador, although he remarked in his journal that the natives referred to it as Guanahani. There is some debate over which island was Columbus’ first stop; most experts believe it to be San Salvador, Samana Cay, Plana Cays or Grand Turk Island. Second Landfall: Cuba Columbus had explored five islands in the modern-day Bahamas before he made it to Cuba. He reached Cuba on October 28, making landfall at Bariay, a harbor near the eastern tip of the island. Thinking he had found China, he sent two men to investigate. They were Rodrigo de Jerez and Luis de Torres, a converted Jew who spoke Hebrew, Aramaic, and Arabic in addition to Spanish. Columbus had brought him as an interpreter. The two men failed in their mission to find the Emperor of China  but did visit a native Taà ­no village. There they were the first to observe the smoking of tobacco, a habit which they promptly picked up. Third Landfall: Hispaniola Leaving Cuba, Columbus made landfall on the Island of Hispaniola on December 5. The natives called it Haità ­, but Columbus renamed it La Espaà ±ola, a name which was later changed to Hispaniola when Latin texts were written about the discovery. On December 25, the Santa Marà ­a ran aground and had to be abandoned. Columbus himself took over as captain of the Nià ±a, as the Pinta had become separated from the other two ships. Negotiating with the local chieftain Guacanagari, Columbus arranged to leave 39 of his men behind in a small settlement, named La Navidad. Return to Spain On January 6, the Pinta arrived, and the ships were reunited: they set out for Spain on January 16. The ships arrived in Lisbon, Portugal, on March 4, returning to Spain shortly after that. Historical Importance of Columbus First Voyage In retrospect, it is somewhat surprising that what is today considered one of the most important voyages in history was something of a failure at the time. Columbus had promised to find a new, quicker route to the lucrative Chinese trade markets and he failed miserably. Instead of holds full of Chinese silks and spices, he returned with some trinkets and a few bedraggled natives from Hispaniola. Some 10 more had perished on the voyage. Also, he had lost the largest of the three ships entrusted to him. Columbus actually considered the natives his greatest find. He thought that a new slave trade could make his discoveries lucrative. Columbus was hugely disappointed a few years later when Queen Isabela, after careful thought, decided not to open the New World to slave trading. Columbus never believed that he had found something new. He maintained, to his dying day, that the lands he discovered were indeed part of the known Far East. In spite of the failure of the first expedition to find spices or gold, a much larger second expedition was approved, perhaps in part due to Columbus’ skills as a salesman. Sources Herring, Hubert. A History of Latin America From the Beginnings to the Present. New York: Alfred A. Knopf, 1962 Thomas, Hugh. Rivers of Gold: The Rise of the Spanish Empire, from Columbus to Magellan. 1st edition, Random House, June 1, 2004.

Roman and Mauryan Empires- Rise and Fall essays

Roman and Mauryan Empires- Rise and Fall essays There are always many factors that allow an empire to be great as there many factors for why one would be less sufficient. In this essay I will discuss two empires in all, the Roman and the Mauryan Empires. We will then discuss the social, political, and economic aspects that led these empires to be great and led one to an unstable dynasty. I will also illustrate how the social and cultural lives of the people in the dynasties were affected. The Roman Empire was considered to be a great empire, despite its meek beginnings. The Empire flourished around 300 B.C.E. They occupied modern day Spain, Italy, and other large sections of Europe. The Romans were able to establish a stable political dynasty. They were unified under one government and like most empires, they were protected by a prevailing military. The Romans along with the Mauryans controlled areas about the size of the United Stated east of the Mississippi River. Romans possessed military technology beyond their enemies, which allowed them to attack and take over their weaker neighbors. The effectiveness of its military was a large reason for the Romans success. With military strength and wealth from goods a feeling of social synchronization was in the air. The Roman society was based on devoutness, so they remained loyal to the Gods. Rome ran a republic style government in which they allowed representation of diverse elements of its society and adapted to changing needs. The people had the right to vote for majesties, were allowed to have marriages recognized, hold legally binding contracts, and the right to due process in law. Romans were intellectually advantaged. They created law schools and recognized medicine as a staple to their health. Rome established colonies of citizens along with allies, basically spreading its territory, along with manpower. Discipline, obedience, and the ability to endure adversity made the Roman sold ier the be...

5 Strategies to Overcome Your Essay Writing Anxiety

5 Strategies to Overcome Your Essay Writing Anxiety 5 Strategies to Overcome Your Essay Writing Anxiety There will be some times in your student life when you will have to deal with writing anxiety or writer’s block. It will stop you in your tracks. The words will escape your mind instead of rolling off of your tongue. It happens even to the best writers, so don’t think that you are doing something wrong. However, there are times when you can’t just hang it up for the night: you have to hit that deadline. So, when you hit that â€Å"brick wall†, here are some things that will break right through it, so that you can get back to the process. Writing Buddy.  When times are getting tough and you feel as though you can’t pull through, you can really benefit from having a writing buddy. They act as a great sounding board to bounce some ideas off. They can also help you decide on what to write when you get stuck. Get yourself a writing buddy (your friend or your group mate), so that when you are stuck, you can get in touch with them and they can help you work your way out of it. Assess Your Strengths.  Understand what you are good at. There are certain styles of writing that you will do better than others. For example, not everyone can write creatively. Some can do it without an issue. Others are great with academic pieces. Gravitate around the assignments that you are good at. If there are parts of an essay that you are good with, skip to that section. You don’t have to write a paper from beginning to end. When you have the best part of your paper written, it will be much easier to complete it by adding what is missing. Understand the Process.  Many writers get stuck because they have some unrealistic ideas about the writing process. Some writers expect to handle a writing assignment in a certain amount of time and then if they fail to meet their expectations, it makes it hard for them. Writing is such a mental game. You need to not only understand what you are writing about, but you also have to know that there will be times when even the simplest assignments take too long. Give Yourself Some Credit.  You need to give yourself some credit for being able to write the way you do. It is not always easy and sometimes you just need to give yourself a pat on the back. Think about your accomplishments.  When it comes to understanding the writing process, you have to realize that a large portion of it is mental. If you are not in the right mindset, you may not be able to effectively write the papers that you are trying to finish. You need to understand the writing process and realize that sometimes you won’t get it right the first time around. Get Support.  If you are still struggling, you can always seek professional essay writing help online. It is the best way to get out of funk because the professional writers have many tips that you can use. They can help you brainstorm ideas, come up with a good topic, and assist you when you are stuck. When you are feeling anxious, they can walk you through the writing process and make it much easier. These tips will help you when you get in a jam. If you have the time, you can always walk away and come back to it later. The ideas will start flowing again and you can get back to work. Take a walk, get a snack, or do a couple of jumping jacks. Just break your train of thought and watch the ideas flood back in.

What roles do international organisations play in global politics Essay

What roles do international organisations play in global politics - Essay Example Governments, especially of the less developed countries, are heavily dependent on large organisations as they provide job opportunities to local people. MNCs bring with them large investments which is considered important in the economic growth of a country. This makes the role of international organisations important with regards to global politics. In this paper we will attempt to highlight the role of international organisations on global politics. Evolution of international organisations will also be discussed briefly. Rapid industrialisation was witnessed in the 18th and19th century as firms started mass production of goods. International trade also increased slowly and firms began to expand into different countries. This facilitated growth of private enterprises as companies started to engage in production of goods and services. This is the time when seeds of international organisations were sown and organisations started to accumulate wealth and power. Agriculture output in Europe increased in the 17th century which facilitated a population growth. This growth in population meant facilitated industrialisation as people started to seek other professions. Also the living standards of the population started to increase greatly in the 17th century which played an important role in fuelling worldwide industrialisation (Lucas, 2002). When standards of living were higher technological progress was made which again facilitated the process of industrialisation. Firms began to use advance technology to manufacture products. Mass production became possible which again strengthened private firms and helped them to grow even more. Another important development was that road system was improved and railway system was overhauled, and this helped different firms reach a wider target market (Meier & Rauch, 2000). In the 19the century experts started to advocate capitalism which they thought was responsible for the progress of the world. The doctrine of