Importance Of The Fibonacci Sequence

784 Words2 Pages
bulb-icon

Recommended: Fibonacci sequence speach

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 …show more content…

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,

Show More
Related

  • Content Analysis of Student Learning

    1368 Words  | 3 Pages

    ... 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.

    Read More

  • Finding Truth in Math, Arts, and Ethics

    1228 Words  | 3 Pages

    Lamb, Robert. "How are Fibonacci numbers expressed in nature?" HowStuffWorks. Discovery Communications, 24 June 2008. Web. 28 Jan. 2010. .

    Read More

  • Leonardo Da Vinci Contributions To Mathematics

    1527 Words  | 4 Pages

    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.

    Read More

  • The Sierpinski Triangle

    1145 Words  | 3 Pages

    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.

    Read More

  • Pythagoras and Plato

    1421 Words  | 3 Pages

    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...

    Read More

  • Differences Between Numeracy And Mathematics

    707 Words  | 2 Pages

    ‘Nature abounds with example of mathematical concepts’ (Pappas, 2011, .107). It is interesting how much we see this now we know, regarding the Fibonacci Sequence, which is number pattern where the first number added to itself creates a new number, then adding that previous number to the new number and so on. You will notice how in nature this sequence always adds up to a Fibonacci number, but alas this is no coincidence it is a way in which plants can pack in the most seeds in a small space creating the most efficient way to receive sunlight and catches the most

    Read More

  • Fractal Geometry

    1448 Words  | 3 Pages

    It is constructed by taking an equilateral triangle, and after many iterations of adding smaller triangles to increasingly smaller sizes, resulting in a "snowflake" pattern, sometimes called the von Koch snowflake. The theoretical result of multiple iterations is the creation of a finite area with an infinite perimeter, meaning the dimension is incomprehensible. Fractals, before that word was coined, were simply considered above mathematical understanding, until experiments were done in the 1970's by Benoit Mandelbrot, the "father of fractal geometry". Mandelbrot developed a method that treated fractals as a part of standard Euclidean geometry, with the dimension of a fractal being an exponent. Fractals pack an infinity into "a grain of sand".

    Read More

  • Fibonacci Numbers and Sequences

    1897 Words  | 4 Pages

    ...on of light and the rays are proportions in the Fibonacci sequence. Fibonacci relationships are found in the periodic table of elements used by chemists. Fibonacci numbers are also used in a Fibonacci formula to predict the distant of the moons from their respective planets. A computer program called BASIC generates Fibonacci ratios. “The output of this program reveals just how rapidly and accurately the Fibonacci ratios approximate the golden proportion” (Garland, 50). Another computer program called LOGO draws a perfect golden spiral. Fibonacci numbers are featured in science and technology.

    Read More

  • Leonardo Da Vinci's Life Without Fibonacci

    1610 Words  | 4 Pages

    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

    Read More

  • Mathematical and Musical Harmony

    1296 Words  | 3 Pages

    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.

    Read More

  • Music and Math

    876 Words  | 2 Pages

    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.

    Read More

  • The Development of the Concept of Irrational Numbers

    1403 Words  | 3 Pages

    Irrational numbers are real numbers that cannot be written as a simple fraction or a whole number. For example, irrational numbers can be included in the category of √2, e, Π, Φ, and many more. The √2 is equal to 1.4142. e is equal to 2.718. Π is equal to 3.1415. Φ is equal to 1.6180. None of these numbers are “pretty” numbers. Their decimal places keep going and do not end. There is no pattern to the numbers of the decimal places. They are all random numbers that make up the one irrational number. The concept of irrational numbers took many years and many people to discover and prove (I.P., 1997).

    Read More

  • The History of Math

    810 Words  | 2 Pages

    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.

    Read More

  • Golden Ratio

    538 Words  | 2 Pages

    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……

    Read More

  • The Nature of Mathematics

    1019 Words  | 3 Pages

    As mathematics has progressed, more and more relationships have ... ... middle of paper ... ... that fit those rules, which includes inventing additional rules and finding new connections between old rules. In conclusion, the nature of mathematics is very unique and as we have seen in can we applied everywhere in world. For example how do our street light work with mathematical instructions? Our daily life is full of mathematics, which also has many connections to nature.

    Read More

More about Importance Of The Fibonacci Sequence

Open Document