PPT-From polygons to polyhedra and beyond

St Pauls Geometry Masterclass I Who are we Mairi Walker Final year maths PhD student at The Open University Studying links between geometry and numbers A lso interested in the history of maths. 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 Polygon. – a two-dimensional closed figure made of three or more line segments. 4.4 . Similar Polygons. Learning Outcome: To be able to identify, draw, and explain similar polygons and solve problems using the properties of similar polygons . Diane . Souvaine. , . Raoul. . Veroy. , and Andrew Winslow. Tufts University. Klee’s Art Gallery Problem. Victor Klee (1973): How many guards . are needed to see the entire floor plan?. Consider the floor plan of an art gallery, and guards. for Polygonal Meshes. Δ. Marc Alexa Max . Wardetzky. TU Berlin U . Göttingen. . Laplace Operators. Continuous. Symmetric, PSD, linearly precise, maximum principle. Discrete (weak form). 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. in . Platonic. . Solids. Polyhedra. A polyhedron is a solid figure bounded by flat faces and straight edges, i.e., by polygons.. Face. . A face of a polyhedron is any of the plane surfaces forming a polyhedron. The faces of a polyhedron are 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. 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. . UMI: July 13, 2016. Simple: does not intersect itself. Closed: Curve can be drawn starting and stopping at the same point.. Segment: Straight line. Polygons. .. Polygons. are simple closed curves with sides that are only segments. . 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. Using Game Theory to Investigate Segregation in Society. Parable of the Polygons. “. Parable of the Polygons. ” is a website which uses apps to explore how areas of cities can become segregated. . Slideshow 45, Mathematics. Mr Richard Sasaki. Objectives. Understand how nets are built. Be able to build nets for various shapes using scissors and glue. Be able to categorise shapes using a Venn Diagram. Weiqi. Zhou, University of Vermont © . 2011. The Vector Data Model. Multi-layer Vector Queries. Spatial Join. Geoprocessing. 1. Vector Data Model. The Vector Data Model. Three types of vector data. 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.