Algebraic geometry

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    Voronoi Patterns

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    Math has many significant aspects. However, it wasn’t until I was assigned this assignment, that I fully understood the wide variety mathematics encompasses. Math has a specific part called Geometry, it is this section that I am going to mainly focus on. Geometry consists of shapes. These many shapes can then be put together to form patterns. They are the Golden Ratio, Fractals, Spiral Growth, and Voronoi Patterns. The Golden Ratio consists of ratios which the two larger sums are equivalent to…

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    Students need to understand and be able to construct geometric figures using a compass and straightedge. I chose argument A because students need to learn the usage of primary instruments before they enhance to the advanced exercises online, and in order to understand the information you must learn how to actually use it with your hands, if they are not capable to use a simple tool they wouldn't be able to use the complex ones. In math, a compass is a tool that’s used to measure line segments…

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    compared to what it should be in order to start finding a diagnosis. Lastly, doctors use math to calculate just how broken a patient might be. In “ How CAT scans work,” the author demonstrates how the doctor uses different forms of math such as geometry and trigonometry to find dimensions in x-rays. doctors use trigonometry especially to find just at what angle the X-ray needs to be captured in order to see what damage has been done. In conclusion, being a doctor includes tons of math.…

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    The Van Hiele Levels of Geometric Reasoning describes how students learn geometry. It was a theory worked on by Pierre Van Hiele and his wife, Dina Van Hiele-Geldof. They were Dutch researchers and teachers. They came up with this theory at the University of Utrecht in the year 1957. The Van Hiele’s did multiple research experiments and it took years for them to complete this thesis. Shortly after the thesis was complete, Dina passed away (Šafránková, 2012, p. 72). These levels have five…

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    constructing the idea of geometry using their imagination and creativity. Anus is a boy who enjoys all kinds of hands-on activities. One…

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    Research shows that Hypatia of Alexandria was one of the first women to make substantial contribution to the development of mathematics. She lived in the great center of ancient learning; Alexandria, Egypt, in the 4th century A.D. While it t is assumed that she studied mathematics under her father, Thon of Alexandria; it is known that she was the head of the Platonist school in Alexandria around 400 A.D. Hypatia contributed in many ways to math; it is said that she edited the work on “The Conics…

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    Near East Astronomy

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    The history of mathematics in the near consisted of three distinct divisions of time. The mid-third millennium is when there became evidence for knowledge of symmetry and geometry. Then continuing on into the later third millennium the establishment of accounting for time and labor became prevalent as well as the use of the sexagesimal place value system. The first systematic accounting techniques were developed in the southern Iraq city of Uruk as a result of a growth in the size of the city by…

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    Born on April 15, 1707 in Bales, Switzerland was man names Leonhard Euler. Following in his father's footsteps he was studying to be a rural clergyman. “Though originally slated for a career as a rural clergyman, Euler showed an early aptitude and propensity for mathematics, and thus, after studying with Johan Bernoulli, he attended the University of Basel and earned his master's during his teens.”(Biography.com Editors) During his time at school, Euler found a passion for mathematics. “By 1726,…

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    Pythagoras Research Paper

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    Pythagoras Born: about 569 BC in Samos, Ionia Died: about 475 BC He is named the first mathematician. Pythagoras was born near the Ionian coast of the Mediterranean, in the rich merchant family. After living in Egypt for 22 years and in Babylon for 12 years, he gained deep knowledge in natural and mathematical sciences. He gathered around a group of like-minded people, mostly aristocrats, and created a secret circle. The members of the circle studied various issues of philosophy and mathematics.…

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    reputation. Among his greatest admires were mathematical who recognized in his work principles (Smith). The remarkable part was that Escher received no formal mathematics education beyond secondary school. Escher work included two broad areas: the geometry od space, and the logic of space. Escher used various, of what one may call techniques within these broad areas. For instance, tessellations, polyhedra, the shape of space, logic of space, and self-reference.…

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