TUTORIAL M13

1. TUTORIAL M13 PEPEJAL PLATONIK & ARCHIMEDES

2. TUGASAN • Banding bezakanantarapepejalPlatonikdan Archimedes • Compare and contrast Platonic solids and Archimedean polyhedra

3. SOALAN PEPERIKSAAN • Nov 2009, 3(a) • Platonic solids and Archimedean solids are two types of polyhedra • What are the similarities and differences between Platonic solids and Archimedean solids? (7 marks) • Nov 2009, 3(b) • Explain the similarities and differences between the small stellated dodecahedron and theh great stellated dodecahedron (13 marks)

4. Platonic & Archimedean • Convex polyhedron • Identical vertices • Faces are regular polygons • 5 Platonic solids, 13 Archimedean solids • Faces are identical, faces are not identical (more than two types)

5. SSD & GSD • Concave polyhedron • 12 identical faces • Both have 30 edges • SSD has 12 vertices, GSD has 20 vertices • Five pentagrams meet at a vertex (SS). • Three pentagrams meet at a vertex • SSD constructed from dodecahedron, GSD from a icosahedron • Schlafli symbol • SSD {5/2, 5} • GSD {5/3, 3}