PPT-Spherical Geometry

TWSSP Wednesday Welcome OK OK I give in You can sit wherever you want if You form groups of 3 or 4 You promise to assign group roles and really pay attention to them today AND you promise to stay on task minimize your side conversations and participate actively in our whole group discussions. TWSSP Thursday. Welcome. Please sit in your same groups from yesterday. Please take a moment to randomly distribute the role cards at your table and read through your group role.. Thursday Agenda. Agenda. Patterns and Inductive Reasoning. Geometry 1.1. You may take notes on your own notebook or the syllabus and notes packet.. Make sure that you keep track of your vocabulary. One of the most challenging aspects of geometry compared to other math classes is the vocabulary!. Sumit Gulwani. MSR, Redmond. Vijay Korthikanti. UIUC. Ashish . Tiwari. SRI. Given a . triangle XYZ. , construct . circle C. such that C passes through X, Y, and Z.. . 1. Ruler/Compass based Geometry Constructions. Maryam Amini. Main Objectives. . : . Understand the basic idea of Euclidean Geometry. Understand the basic idea of non-Euclidean Geometry. . Conclusion. What is Euclidean Geometry? . is a mathematical . Feng Luo. Rutgers undergraduate math . club. Thursday, Sept 18, 2014. New Brunswick, NJ. Polygons and . polyhedra. 3-D Scanned pictures. The 2 most important theorems in Euclidean geometry. Pythagorean Theorem. A taste of projective geometry. Introduction to Computer Vision. Ronen Basri. Weizmann Institute of Science. Summery of last lecture. Pinhole camera model, perspective projection. Scaled orthographic . I. .. . Salom. and V. .. . Dmitra. šinović. Solving . t. wo particle. problems. U. sing center-of-mass reference system where a single 3-dim vector determines position. Split wave function into radial and angular parts. Arul Asirvatham, Emil Praun . (University of Utah). Hugues Hoppe . (Microsoft Research). 2. Consistent Spherical Parameterizations. 3. Parameterization. Mapping from a domain (plane, sphere, simplicial complex) to surface. r. R. z. x. y. . . Spherical coordinates. x. y. . .   0 to . z. x. y. .  0 to .   0 to 2. r . . 0 to R. z. x. y. . . z. Electrostatic force due to spherical shell of charge. Arul Asirvatham, Emil Praun . (University of Utah). Hugues Hoppe . (Microsoft Research). 2. Consistent Spherical Parameterizations. 3. Parameterization. Mapping from a domain (plane, sphere, simplicial complex) to surface. I. .. . Salom. and V. .. . Dmitra. šinović. Solving . t. wo particle. problems. U. sing center-of-mass reference system where a single 3-dim vector determines position. Split wave function into radial and angular parts. Reflections, Rotations , Oh My!. Janet Bryson & Elizabeth Drouillard. CMC 2013. What does CCSS want from us in High School Geometry?. The expectation . in Geometry . is to understand that . rigid . Geometry in Nature is Everywhere. Proportions of the human body. In the shape of a shell. .. .. . .. . The bees make their hives into regular hexagons. Honeycomb. The following slides are some more examples of geometry in nature. positions.. Definition:. Diagram:. Diagram:. Diagram:. Diagram:. Ideal situation. Real situation. Diagram:. Photo:. Positive …. aberration. Negative …. aberration. zero …. aberration. Correction:.