Fractal Geometry How would you like to take a class called geometry of chaos? Probably doesn’t sound too thrilling. A man named Benoit Mandelbrot is responsible for creating the geometry of chaos. The geometry of chaos is considered to be the fourth-dimension. It is considered to be the world in which we live in‚ a world where there is constant change based on feedback‚ an open system where everything is related to everything else. It is now recognized as the true geometry of nature. The geometric
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Fractal Geometry "Fractal Geometry is not just a chapter of mathematics‚ but one that helps Everyman to see the same old world differently". - Benoit Mandelbrot 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
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CONTENTS INTRODUCTION 3 DESCRIPTION 5 UNIT CREDIT 6 TIME ALLOTMENT 6 EXPECTANCIES 7 SCOPE AND SEQUENCE 8 SUGGESTED STRATEGIES AND MATERIALS 9 GRADING SYSTEM 10 LEARNING COMPETENCIES 11 SAMPLE LESSON PLANS 30 INTRODUCTION This Handbook aims to provide the general public – parents‚ students‚ researchers‚ and other stakeholders – an overview of the Mathematics program at the secondary level. Those in education‚ however‚ may use it as a
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2. Quadrilateral 3. Pentagon 4. Hexagon 5. Heptagon 6. Octagon 7. Nonagon 8. Decagon 9. Dodecagon 10. Tetradecagon F. Circles Introduction "Geometry‚" meaning "measuring the earth‚" is the branch of math that has to do with spatial relationships. In other words‚ geometry is a type of math used to measure things that are impossible to measure with devices. For example‚ no one has been able take a tape measure around the earth‚ yet we are pretty confident
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An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 6 km east of the refinery. The cost of laying pipe is $200‚000 per km over land to a point P on the north bank and $400‚000 per km under the river to the tanks. To minimize the cost of the pipeline‚ how far from the refinery should P be located? (Round your answer to two decimal places.) 1 year ago Report Abuse
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“Bringing it all Together: The Geometry of Golf” Golf in Geometry?? No Way! Geometry In The Game of Golf For hundreds of years‚ golf has been an extremely popular and growing sport all around the world. Looking where golf is now‚ it is growing rapidly from the young to the elder population. The first round of gold was first played in the 15th century off the coast of Scotland‚ but it did not start to be played until around 1755. The standard rules of golf were written by a group of
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Rashin-Coatie Analysis Rashin-Coatie is a story about a gentleman and his two daughters in Scotland. One daughter is ugly‚ mean‚ and older and the other is very good looking‚ younger‚ and very nice. The parents hate the young good looking daughter‚ and love the ugly ill-natured daughter. The parents mistreat their young daughter making her do all of the hard work and give her very little food and water. The daughter has a calf that helps her get away from her parents and her bad sister. The parents
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MATH PROJECT SELECTION LIST 1. Investigate the five "perfect" (or Platonic) solids and explain why there are only five. References: "The Mathematics Teacher"‚ April ’77‚ p. 335; I have directions for making the solids from strips of paper; NCTM Student Math Notes‚ May 1999. 2. Research an invention based on unusual geometric properties or configurations (e.g. Rolamite Bearing‚ Wankel Engine‚ Holograms‚ etc.). References: "Popular Science"‚ Feb. ’76‚ p. 106; "Popular Science"‚ Aug
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Lesson 9: d-t & v-t Graphs Graphing the motion of objects gives us a way to interpret the motion that would otherwise be difficult. ● Graphs will also allow you to show a large amount of information in a compact way. Essentially you need to be able to sketch and interpret two main kinds of graphs in kinematics: 1. Displacement – Time Graphs ● Sometimes called d-t graphs‚ or position – time graphs. 2. Velocity – Time Graphs ● Sometimes called v-t graphs. Displacement - Time (d-t) Graphs
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ECN101 Homework 3 Figure 3-1 The following diagram shows two budget lines: A and B. 1. Which of the following could explain the change in the budget line from A to B? a. a decrease in the price of X b. an increase in the price of Y c. a decrease in the price of Y d. More than one of the above could explain this change. Scenario 3-1 Suppose the price of hot wings is $10‚ the price of beer is $1‚ and the consumer’s income is $50. In addition‚ suppose the consumer’s budget constraint
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