PPT-The Platonic Solids

In Perspective Symmetry and Regularity Objects that are symmetrical look the same from several different views or two sides are mirror images of each other Symmetric solids are referred to as regular or Platonic solids. & Platonic Solids Vertices/Nodes: The common endpoint of two or more rays or line segments. Edges: the line segments where two surfaces meet Faces/Regions: Interior: area containing all the edge J. Blackmon. Platonic Forms. Platonic Forms. The Problem. We encounter particular instances of justice, but how do we come to know justice?. We encounter particular triangles, but how do we come to know about . th. Dimension – and beyond!. The Power and Beauty of Geometry. Carlo. . Heinrich. . Séquin. University of California, Berkeley. Basel, Switzerland. Math Institute, dating back to 15. th. century. 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 . -Describe . these objects-. What are some things that you notice?. Have you ever seen anything like these? Where?. What do they remind you of?. How would you describe these objects?. How can we describe these using geometric terms?. MATH 420 Presentation: Kelly Burgess. What are they?. Convex Polyhedron (polyhedron: 3d solid with straight edges and flat faces). All faces are congruent. Same number of faces meet at each vertex. Named after Greek philosopher Plato who associated each with a basic "element". St Paul’s 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. Jim Olsen. Western Illinois University. JR-Olsen@wiu.edu. Platonic ~ Archimedean. Plato. (423 BC –347 BC). Aristotle. (384 BC – 322 BC). Euclid. (325 and 265 BC). Archimedes . (. 287.  BC –. The Platonic Solids as Tiffany lamps, art objects, and stepping stones to higher dimensions. Carlo H. . Séquin. & Hans . Schepker. CS Professor,. U C . Berkeley. Artist,. Harrisville, NH. Basel, Switzerland. All . faces, all edges, all corners, are the . same.. They are . composed . of . regular 2D polygons:. There were infinitely many 2D n-. gons. !. How many of these regular 3D solids are there?. Making a Corner for a Platonic . Grade 9 Math. Platonic solids. E4 Make and apply generalizations about the properties of platonic solids. To prepare for this lesson. What is a polygon? . What are some polygons you know?. What is a regular polygon?. All . faces, all edges, all corners, are the . same.. They are . composed . of . regular 2D polygons:. There were infinitely many 2D n-. gons. !. How many of these regular 3D solids are there?. Making a Corner for a Platonic . Investigating Regular Polyhedra– Level 1. What You’ll Learn…. What the Platonic solids are, what makes them unique, and how they relate to one another.. The math behind these special shapes and why there is a limited number of regular polyhedra. . Salts, Sugars, Metals. Amorphous Solids- have no regular repeating arrangement of their molecules. Common glass, several polymers.. Crystalline Structure. Amorphous. Amorphous solids. Amorphous solids, due to a lack of arrangement of molecules, .