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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FRACTAL GEOMETRY INTRODUCTION Fractals is a new branch of mathematics and art. Most physical systems of nature and many human artifacts are not regular geometric shapes of the standard geometry derived from Euclid (i.e‚ Euclidian geometry: comprising of lines‚ planes‚ rectangular volumes‚ arcs‚ cylinders‚ spheres‚ etc.) Fractal geometry offers almost unlimited ways of describing‚ measuring and predicting the natural phenomena. “Why is geometry often described as ‘cold and dry’? One reason lies
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Just Count the Pegs P.O.W. – I.M.P. II All that this Problem of the Week is about is formulas for finding area of a shape on a geometry board depending on the number of boundary pegs (pegs that make the perimeter of the shape) and inside pegs (any pegs inside the shape). The main‚ and pretty much only goal was to find different formulas to figure out the area of a shape with certain characteristics. The characteristics were depending on the number of outside pegs‚ the number of inside pegs
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It is very easy to dream a dream. But what separates the dreamers from the successful is their diligence and rejection of laziness in every capacity. Reading and study of the books of Proverbs and Ecclesiastes from the Bible reveal patterns and habits of successful people who are working alongside God towards eternity. The diligence in characters such as Lady Wisdom from Proverbs 31 helps shape our understanding of what it means to be a hard worker and the existential questions posed in Ecclesiastes
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© Drs. XO‚ PHB‚ CWR Crystal & Ligand Field Theory (10.2.1‚ 10.3) CHEM 241 Fall 2014 TM − p.1 Ligand field theory (the MO version of crystal field theory) includes two main components: 1. What holds the complexes together: The set of ligands are held to a metal ion by largely electrostatic forces (although there really is a high degree of covalency). The forces arise from the positive charge on the metal ion and the electric dipoles of the ligands‚ whose negative ends are associated
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As some of my peers might know‚ geometry is definitely not my favorite subject in math. I have always struggled with geometry‚ especially with memorizing formulas to solve problems such as finding volume‚ surface area and more. I always found formulas to be such a bother and even after learning one and mastering it somewhat‚ I usually ended up forgetting the formula. Fortunately‚ the formulas that I had the most trouble with‚ being volume‚ surface area‚ and area‚ have finally began to stick with
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sensors to the free-swimming whale sharks for calculating their swimming activity and vertical movement. The data they collected revealed that they had two broad movement modes‚ which was the shallow ascent angles and steeper ascent angles. Therefore‚ geometry has a great role in movement strategies for animals that move in 3-dimensions‚ especially whale
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Elected to Royal Society 1975 • Nobel prize 1979 shared with Allan Cormack 1919‐2004 EMI Head Scanner First clinical image (Atkinson‐ Morley Hospital London EMI Head Scanner Dose information 1972 sales brochure EMI Head Scanner X‐Ray Controls Geometry: Translate rotate‚ pencil beam Scan time: 4.5‐20 min Rotation Angle: 1° Number of views: 180 Samples per view: 160 Total samples: 28‚800 Matrix: 80 x 80 FOV: 23.5 cm Pixel size: 3 x 3 mm Slice thickness: 13 mm or 8 mm X‐ray tube:
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APEM journal Advances in Production Engineering and Management ISSN 1854-6250 Volume 8 | Number 1 | Year 2013 | pp 52–60 Journal homepage: apem-journal.org Influence of laser welding process parameters on weld pool geometry and duty cycle Tadamalle‚ A. P.a*‚ Reddy‚ Y. P.a‚ Ramjee‚ E.b a Department of Mechanical Engineering‚ Sinhgad College of Engineering‚ Vadgaon(Bk) Pune‚ India-411041 Department of Mechanical Engineering‚ Jawaharlal Nehru Technological University‚ Kukkatpally
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that the tested micro endmills showed severe wear at an early stage of the process due to chipping off around cutting edge corners‚ resulting in unsatisfactory tool life and product appearance (burr formation). Detailed examination of current tool geometry shows that it is mainly inherited from that of macro endmills‚ making the cutting edge corners the weakest part on the tool. As the micromilling process is characterized by small values of machining parameters‚ the cutting edge corners of the micro
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