PEPEJAL PLATONIK & ARCHIMEDES TUTORIAL M13 PEPEJAL PLATONIK & ARCHIMEDES

TUGASAN Banding bezakan antara pepejal Platonik dan Archimedes Compare and contrast Platonic solids and Archimedean polyhedra

SOALAN PEPERIKSAAN Nov 2009, 3(a) Nov 2009, 3(b) 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)

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)

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}