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 . 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.. Sebald. Geometric Solids. Introduction. Geometric Solids are 3-Dimensional (or “3-D”) shapes – which means they have the 3 . dimensions. of width, depth, and height. Basic examples are spheres, cubes, cylinders, and pyramids. But there are lots of others. Some geometric solids have . 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. . 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. Glasses not required!. Polyhedra. !. A polyhedron is a 3-dimensional, closed object whose surface is made up of polygons.. Common examples: cubes and pyramids. Are these . polyhedra. ?. Things We Can Count . 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.. IAS/ParkCityMathematicsSeriesVolume,2004LatticePoints,Polyhedra,andComplexityAlexanderBarvinokIntroductionThecentraltopicoftheselecturesisecientcountingofintegerpointsinpoly-hedra.Consequently,variou R - Poinsot Polyhedra by Origami. Marcel Morales Institut Fo urier, Universit 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. Polyhedra. are beautiful 3-D geometrical figures that have fascinated philosophers, mathematicians and artists for millennia.. Polyhedra. In . geometry, . a polyhedron . (plural . polyhedra. or polyhedrons) . 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. 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. 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. Projection of a Hypercube.