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Fibonacci sequence speach
Fibonacci sequence speach
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Fibonacci Sequence
The Fibonacci Sequence is a sequence discovered by Leonardo of Pisa. The sequence goes as follows: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144,… Oddly enough this sequence is similar to the golden ration and has a recurrence in math of very large nature. The best of the best of our species such as Leonardo Da Vinci believe in the perfection of this sequence but why? Even sunflowers seem to be a step ahead. This why I choose this topic, who wouldn't want to know about a correlation between the Mona Lisa, math and bees? This topic also sparks my interest because it what I like about math, the beauty of math. And not complex binomial theorem which has exactly two uses ultra complex computer programming and torture. Before
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If you take two successive numbers from the Fibonacci sequence (the bigger the better) such as 233 and 377 and divided them by one another you will get a number close to the golden ratio. The golden ratio is 1.618034… and 144/ 233=1.618055556… The golden ratio is very famous for its esthetic golden spiral. Artist and architect around the world used and still do it as a way of guaranteeing a candy for the eye. And interestingly a spiral named Fibonacci’s spiral is very similar to the golden spiral. Fibonacci spiral consists of squares of the dimensions of each digit of the sequence starting from the 2nd one. These square all fit perfectly together to create this spiral. This prove further more how deep the roots of the Fibonacci sequence are angered in …show more content…
If, however, an egg was fertilized by a male, it hatches a female.
Therefore, a male bee always has one parent, and a female bee has two. If you trace the history of any male bee family, he has 1 parent, 2 grandparents (because he has laid by a female which require a male and a female), 3 great-grandparents, 5 great-great-grandparents, etc.… This sequence of numbers of parents is the Fibonacci sequence. The number of ancestors at each level, Fn, is the number of female ancestors, which is n−1, plus the number of male ancestors, which is n-2. Tadadada… The Fibonacci sequence is really everywhere. In conclusion it really is fascinating how a simple sequence can have unexplainable links to complex math and nature. Why would a bee’s family, sunflower seed, a master’s painting and the golden ratio all be linked by one sequence? I really enjoyed studying this topic because it remind us that math is not only about binomial expansion but also about the beauty of our world. This prove how complex are world is and really shows the beauty of our galaxy, because yes our galaxy follows the golden ration.
Sources: Mathisfun.“Fibonacci Sequence”. Mathisfun,
... relationship in one problem that doesn’t appear in others. Among all of this, there is such vastness in how one person might approach a problem compared to another, and that’s great. The main understanding that seems essential here is how it all relates. Mathematics is all about relationships between number and methods and models and how they all work in different ways to ideally come to the same solution.
Lamb, Robert. "How are Fibonacci numbers expressed in nature?" HowStuffWorks. Discovery Communications, 24 June 2008. Web. 28 Jan. 2010. .
Without Fibonacci we may not have had as thorough an understanding of pythagorean triples, or prime numbers, or quite possibly we would not even be using the number system with which we call traditional. Without him, math currently being used could be very different, and our understanding of the world and some of the ways its works could be even more mysterious. Without his discoveries used in the Fibonacci sequence, our understanding of the Golden Ratio may be nonexistent, which could have lead the world down an entirely different path, on without the renaissance artwork, or without the architecture used in the capital of our country. Therefore I would say Fibonacci and his discoveries are very important in our societies and he should be more popular and acknowledged in
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.
Pythagoras held that an accurate description of reality could only be expressed in mathematical formulae. “Pythagoras is the great-great-grandfather of the view that the totality of reality can be expressed in terms of mathematical laws” (Palmer 25). Based off of his discovery of a correspondence between harmonious sounds and mathematical ratios, Pythagoras deduced “the music of the spheres”. The music of the spheres was his belief that there was a mathematical harmony in the universe. This was based off of his serendipitous discovery of a correspondence between harmonious sounds and mathematical ratios. Pythagoras’ philosophical speculations follow two metaphysical ideals. First, the universe has an underlying mathematical structure. Secondly the force organizing the cosmos is harmony, not chaos or coincidence (Tubbs 2). The founder of a brotherhood of spiritual seekers Pythagoras was the mo...
In conclusion, it is clear that while their ancient civilization perished long ago, the contributions that the Egyptians made to mathematics have lived on. The Egyptians were practical in their approach to mathematics, and developed arithmetic and geometry in response to transactions they carried out in business and agriculture on a daily basis. Therefore, as a civilization that created hieroglyphs, the decimal system, and hieratic writing and numerals, the contributions of the Egyptians to the study of mathematics cannot and should not be overlooked.
The question that Leonardo Fibonacci solved with Fibonacci Numbers was about rabbit reproduction. The question was asking, “Suppose a newly-born pair of rabbits, one male, one female, are put in a field. Rabbits are able to mate at the age...
The incentive for investigating the connections between these two apparent opposites therefore is in the least obvious, and it is unclear in what aspects of both topics such a relationship could be sought after. Furthermore, if one accepts some mathematical aspects in music such as rhythm and pitch, it is far more difficult to imagine any musicality in mathematics. The count-ability and the strong order of mathematics do not seem to coincide with an artistic pattern.
Music and mathematics are incredible forms of art that have been apart of every day life for centuries and continue to do so. It seems that most people would not consider mathematics to fall under the category of art because generally the stereotypical thoughts of math consist of numbers and equations. However, art is defined as the expression or application of human creative skill and imagination. Math is a skill that humans have developed overtime and it is a prominent factor that is integrated in music. Though it is not literally seen or heard, aspects of mathematics are present in not only the physical sound but also in the theory of music.
Named after the Polish mathematician, Waclaw Sierpinski, the Sierpinski Triangle has been the topic of much study since Sierpinski first discovered it in the early twentieth century. Although it appears simple, the Sierpinski Triangle is actually a complex and intriguing fractal. Fractals have been studied since 1905, when the Mandelbrot Set was discovered, and since then have been used in many ways. One important aspect of fractals is their self-similarity, the idea that if you zoom in on any patch of the fractal, you will see an image that is similar to the original. Because of this, fractals are infinitely detailed and have many interesting properties. Fractals also have a practical use: they can be used to measure the length of coastlines. Because fractals are broken into infinitely small, similar pieces, they prove useful when measuring the length of irregularly shaped objects. Fractals also make beautiful art.
Fractal Geometry The world of mathematics usually tends to be thought of as abstract. Complex and imaginary numbers, real numbers, logarithms, functions, some tangible and others imperceivable. But these abstract numbers, simply symbols that conjure an image, a quantity, in our mind, and complex equations, take on a new meaning with fractals - a concrete one. Fractals go from being very simple equations on a piece of paper to colorful, extraordinary images, and most of all, offer an explanation to things. The importance of fractal geometry is that it provides an answer, a comprehension, to nature, the world, and the universe.
Burton, D. (2011). The History of Mathematics: An Introduction. (Seventh Ed.) New York, NY. McGraw-Hill Companies, Inc.
The history of math has become an important study, from ancient to modern times it has been fundamental to advances in science, engineering, and philosophy. Mathematics started with counting. In Babylonia mathematics developed from 2000B.C. A place value notation system had evolved over a lengthy time with a number base of 60. Number problems were studied from at least 1700B.C. Systems of linear equations were studied in the context of solving number problems.
The Golden Rectangle is a unique and important shape in mathematics. The Golden Rectangle appears in nature, music, and is often used in art and architecture. Some thing special about the golden rectangle is that the length to the width equals approximately 1.618……
Abstractions from nature are one the important element in mathematics. Mathematics is a universal subject that has connections to many different areas including nature. [IMAGE] [IMAGE] Bibliography: 1. http://users.powernet.co.uk/bearsoft/Maths.html 2. http://weblife.bangor.ac.uk/cyfrif/eng/resources/spirals.htm 3.