PPT-3.7 Properties of Polygons

I can identify different types of polygons I can tell the properties of each type of polygon I can categorize quadrilaterals based on their properties Polygon Review SRB 142 Notes and Definitions. In rendering complex 3D images it has to be done several thousand times Ef64257cient algorithms are therefore very important We present such an ef64257cient algorithm for clipping arbitrary 2D polygons The algorithm can handle arbitrary closed polyg for Polygonal Meshes. Δ. Marc Alexa Max . Wardetzky. TU Berlin U . Göttingen. . Laplace Operators. Continuous. Symmetric, PSD, linearly precise, maximum principle. Discrete (weak form). BUILDING POLYGONS. We use line segments to build polygons. . A polygon is a closed shape with straight sides.. POLYGON. NOT A POLYGON. POLYGONS. POLYGONS. Polygons may also be called 2D shapes or PLANE FIGURES. . Always email the . cs195utas@cs.brown.edu. alias rather than either of us directly for anything course-related. Better for TAs (know what’s going on, can discuss before responding). Better for you (faster response time).   WARM-UP . STRETCH. Today you will investigate a transformation called a . dilation.  that enlarges or reduces a figure while maintaining its shape.  After creating new enlarged polygons, you and your team will explore the relationships that exist among polygons that look alike but are different sizes. Severe Thunderstorm Warnings:. Can we do better…and do we want to?. Eric . Lenning. . and Ben . Deubelbeiss. . NWS Chicago. 2014 GLOMW. Motivation. Goal:. An increased . understanding of . the types of severe . STEM Cats. Tessellations. M.C. Escher. Buckminsterfullerene. Common Cold Virus. Bogota Sport Center. Epcot. Dice. Seven Days . Sci. . Fi. TV Series. Rubies. Giant’s Causeway. Origami. Lamps. Projection of Cube. Polygons. Polygon . Definition. : A polygon is a closed figure in a plane, formed by connecting line segments endpoint to endpoint. Each segment intersects exactly two others. . Side. vertex. Polygons!. M.C. Escher. Similar Polygons. Figures that are . similar. . (~) have the same shape but not necessarily the same size.. Similar figures look alike but one is a smaller. version of the other. . It wouldn’t make much sense to make a drawing . . Presented by: . Bhavna. . Agarwal. The problem.... Given a bunch of 3D objects predefined in . x,y,z. ; order them in geometry. Do Something. A wireframe model. . Things we need not render. What is a polygon?. Closed figure. At least 3 sides. Line segments are sides. Sides meet is call a vertex. More Polygon Terms. Diagonal – connects two non consecutive vertices. Concave – at least one diagonal outside polygon, dented in. Polygon: A closed plane figure with 3 or more sides (line segments) that intersect only at the endpoints.. Vertex: Each endpoint of a side of a polygon.. Convex Polygon: A polygon such that . no line. Classifying Polygons. Students . will be able . to:. Identify the 2-dimensional shapes based on their properties.. Key Vocabulary. Polygons. Triangles. Quadrilaterals. Pentagons and Hexagons. Other Polygons. Characteristics of a Polygon. Decide if each shape is a polygon or not. . . Polygon . . Not a Polygon. Convex Polygons. Line segments do not extend into itself. Concave Polygons. Line segments DO extend into itself.