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fibonacci sequence speach
fibonacci sequence speach
leonardo fibonacci
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Leonardo Fibonacci When thinking of Pisa, Italy, one of the first things that comes to mind is the Leaning Tower of Pisa. The Leaning Tower of Pisa is known worldwide for gradually increasing its vertical offset over the hundreds of years it has been standing. The Leaning Tower is just one of many historical landmarks and striking artworks in Pisa, Italy; however no one would think of a marble sculpture of Leonardo Fibonacci by Giovanni Paganucci when thinking of Pisa (Long 4). The marble statue of Leonardo is located in the Camposanto in Pisa and was finished by Paganucci in 1863 (Long 4). Leonardo Fibonacci is known by most people for the Fibonacci sequence. Besides fact that Leonardo was a mathematician, most people do not know much …show more content…
While in the city Leonardo continued his education from a Moorish Schoolmaster (King 33) and he learned Arabic, as it was the main language of Bugia (Aczel 66). After completing his education, Leonardo went on a voyage around the Mediterranean that lasted a few years, making stops at Syria, Greece, Egypt, Sicily, and Constantinople (King 66). While on this journey, he studied with Arab mathematicians (Aczel 66) and became familiar with Hindu-Arabic numerals (Aczel 67). After his voyage, Leonardo returned to Pisa, Italy in 1200 (Aczel 67) and began compiling all that he had learned. Then in 1202, Leonardo published Liber Abaci, Book of the Abacus (McClenon 143). In the Liber Abaci, Leonardo contained the Hindu-Arabic numeral system, which is 1, 2,3,4,5,6,7,8,9. Leonardo also introduced zero, 0 (Aczel 67). The significance of the Liber Abaci is not that it is the first book written in Italy that had the Hindu-Arabic numeral system, but it is the first book that contains examples of the system being used in problems (McCleanon 143). This allowed readers to learn the Hindu-Arabic system as well. Also in the Liber Abaci is Leonardo’s famous problem which contains the Fibonacci sequence. The problem is stated as follows (Gies …show more content…
As the Fibonacci numbers increase, the ratios of the numbers become closer to the Golden Ratio. As a result of the Fibonacci sequence numbers’ ratios being close to the Golden Ratio, Fibonacci numbers often occur in nature. Examples of these are the spirals on pineapples, pine cones, and palm leaves; they all occur in Fibonacci numbers (Posamentier 64, 65). Many flowers, including Daisies and Sunflowers, are in spirals that are Fibonacci numbers. The sunflower’s seeds commonly occur in 34 and 55, while the daisy’s petals are commonly found to have 13 and 21 or 21 and 34 (Newton 5). Fibonacci numbers occur in nature in other ways besides plants. In the hydrogen gas atom, when the gas gains radiant energy, and when it loses radiant energy, occurs in Fibonacci numbers (Huntley 523). Also the genealogical tree of the male bee occurs in Fibonacci numbers (Basin 53), as well as the spiral of a snail
On July 2nd, 2015, I took a trip the Salvador Dali Museum in Saint Petersburg where they showcased the Leonardo Da Vinci exhibit, which included numerous amounts of work that he did over his entire lifespan. Ranging all the way from the Mona Lisa to the Last Supper, Leonardo had a very unique style of portraying his painting, as well as being extremely talented with his blends and bending of multiple colors. Not only was he apart of the famous Renaissance painters who changed the way we looked at Italy, but he was also an extremely intelligent and talented man who has greatly influenced artwork for hundreds of years and will continue for many more generations.
From that fundamental step, many cultures have built their own number systems, usually as a written language with similar conventions. The Babylonians, the Mayans, and the people of India, for example, indented essentially the same way of writing large numbers as a sequence of digits that we use, although they lived far apart in space and time (155).
Da Vinci’s schooling was a lot different than most people would imagine. Da Vinci wasn’t born or raised a to become a genius. When he was a kid, he only received the usual elementary education (britannica.com). Leonardo did not learn Latin, like most people, until he figured it out on his own
Leonardo was born April 15, 1452 he was the son of Ser Piero and Caterina. Leonardo's father was a landlord, and his mother was a peasant and they both were not married at the time. Leonardo lived with his father and had an education. Later on his father moved the family to Florence( Heydenreich). At the age of 15 Leonardo was showing that he was a great painter. In 1467 he became an apprentist to Andrea Del Verrochio a very well known artist during that time period. He became a member of Verrochio's workshop where he received an education in a huge variety of areas.(Giorgio). In another workshop of Antonio Pollaiuolo, Leonardo studied anatomy, and animals. He was accepted into painters guild in Florence. An early work by Leonardo was an angel painting for the Baptism of Christ artwork.After Verrochio viewed the artwork he thought it was time for Leonardo to move on and do other things. Later on Leonardo became an independent painer and later moved to Milan where he worked for Ludovico Sforza. During that time Leonardo created one of his most famous artworks The Last Supper. Later on his career he became a journalist in which he would write down his obeservations , and findings. His notes showed that he knew about how rocks were formed.He was also fascinated with fossils and how to make tunnels through mountains.(Weingardt ).Years ...
The Tower of London arose as a result of the fight concerning who would succeed King Edward the Confessor as the next King of England. King Edward had initially promised William I, the Duke of Normandy, that he would have the throne upon King Edward's death. However, upon his deathbed, he was persuaded to relinquish the throne to his brother-in-law Harold, Earl of Wessex, who was English. This enraged Duke William, who led his army into England from France to obtain what he considered was his rightful throne. He easily defeated Earl Harold at the Battle of Hastings and was crowned King of England on Christmas Day. However, Duke William-who was now called King William the Conqueror-was in a country that was largely hostile toward him. In order to provide protection for himself, he built wooden forts across the country. Realizing that he needed a more permanent structure to show the English he was there to stay, and in case of a large attack, he decided to build a fortress to protect himself.
Our nation's revolution was a great achievement in U.S History. With the dawn of a new nation, there would have to be a central location to make the new decisions of our country. Our capitol has stood as the heart of our country since the late 1700s. The United States capitol is among the most architecturally impressive and symbolically important buildings in the world. For almost two centuries it has housed the meeting chambers of the senate and the House of Representatives. Begun in 1793, the capitol building has been built, burnt, rebuilt, extended, and restored. Today our capitol stands as a monument to the American people and their government. (AOC.gov)
Leonardo Da Vinci is a famed artist today due to his renowned painting of the ‘Mona Lisa’. In the 14th century, people of Venice would have known him as an engineer, people of Milan would have known him for his Last Supper, but only the people of Florence would have seen his whole character. Da Vinci is known as the archetypal Renaissance man, a man of “unquenchable curiosity” and “feverishly inventive imagination”. Da Vinci created many technologies and new innovations which were so advanced for his time and age that many scholars did not believe him. He contributed to civilisation through three main areas: art, science and engineering.
Leonardo da Vinci was one of the greatest mathematicians to ever live, which is displayed in all of his inventions. His main pursuit through mathematics was to better the understanding and exploration of the world. He preferred drawing geographical shapes to calculate equations and create his inventions, which enlisted his very profound artistic ability to articulate his blueprints. Leonardo Da Vinci believed that math is used to produce an outcome and thus Da Vinci thought that through his drawings he could execute his studies of proportional and spatial awareness demonstrated in his engineering designs and inventions.
Prior to the 15th century, Italy was still using roman numerals. Solving mathematical problems with roman numerals was problematic to the Venetian merchants of the time. Sometime during the 15th century, Venetian merchants began using Arabic numbers. Arabic numbers made mathematics much easier. (Kestenbaum, 2012)
Beautiful scenery. Love. New experiences. Finding these things in two very popular cities. The Statue of Liberty and the Eiffel Tower both are very popular tourist attractions, maybe for their beauty or perhaps their archeological structure. Who knows really but here’s a few similarities and difference between the two. Although the Eiffel Tower and the Statue of Liberty are different as well as similar the facts are clear.
Leonardo was born in a small town in Tuscany, Italy called Vinci on 15 April, 1452. Back then, not all people had surnames; only those who were rich and powerful deserved one. Therefore, when people today refer to him as “Leonardo da Vinci”, “da Vinci” actually means “from Vinci” in Italian. His talent for painting was recognized by his family and neighbors when he was still a boy, and he started his painting career at a very young age. At 14, he was sent to Florence by his father to learn from Verrocchio, who owned a leading workshop at the time. It is said that when he cooperated with Verrocchio on the Baptism of Christ, his skill was so much finer than his master’s that Verrocchio quit in the middle and never painted again for his whole life. 1
Fibonacci Numbers originated from India hundreds of years ago. Though Fibonacci Numbers came from India, Leonardo of Pisa, better known as Fibonacci, made it known to the world. Leonardo came from a wealthy Italian family and traveled to North America to join his father. He was educated by the Moors and sent on business trips. “After returning to Pisa around 1200, Leonardo wrote his most famous literature, Liber Abaci” (Pearson). Leonardo featured a rabbit question in the book. The question was asked in a mathematical competition, he appeared in when he was young. Leonardo Fibonacci used the Fibonacci Numbers to solve it. Fibonacci Numbers is now used throughout our society.
The Leaning Tower of Pisa, also known as the Torre Pendente di Pisa, known for its renowned work of art is located in Pisa, Italy. The mastermind behind this historically significant masterpiece is the famous architect, Bonanno Pisano. The tower is in the shape of a circle, which was first constructed on August 9th, 1173, measuring about 185 feet (56 meters). Originally, the tower was designed to have eight stories; however, within the year of 1773, many problems occurred, causing only three of the eight stories to be completed. Due to a war which occurred, the building was incomplete. The war broke out among the Italian city-states, and construction was halted for almost a century (www.brittanica.com). This pause allowed the tower’s foundation to settle and likely prevented its early collapse (www.brittanica.com). Because of the pause, the rest of the stories were completed during 1319. There were two pauses between the constructions of the Leaning Tower of Pisa, first for 100 years, and the other occurred in 1284. Both of the pauses took place because of wars. The tower began to lean on one side due to the soft ground underneath the building; problems arose when the weight of the tower couldn’t be supported by the ground. In modern time, the famous masterpiece would’ve been 840 years old (www.softschools.com). The tower is a freestanding bell, famous for the settling of its foundation, causing it to lean 5.5 degrees to one side. However, over time, many operations were done, trying to straighten the tower, yet it only straightened out by less than 4.0 degrees. However, the lean became worse as construction continued for several decades. Gratefully, the lean was stabilized and partially fixed between 199...
Limestone and lime mortar are the main materials used for the construction of the tower. Marble covers the tower from outside and each level of the tower has arches and columns. The architect who was in the charge of the construction was called Giovanni Di Simone. The leaning of the foundation that caused the leaning of the whole tower led the architect to change the design many times. The foundation of the tower was laid in 1173 and it was made of lime and marble that are characterized by their strength and durability. The rotation of the tower was the main problem as it caused the leaning. In order ...
The man behind the Fibonacci numbers, Leonardo Fibonacci, was born in Pisa in 1175 A.D. During his life, he was a customs officer in Africa and businessman who traveled to various places. During these trips he gained knowledge and skills which enabled him to be recognized by Emperor Fredrick II. Fredrick II noticed Fibonacci and ordered him to take part in a mathematical tournament. This place would eventuall...