Tuesday, March 2
Space: How do we understand objects in space? Continued..
Symmetries (Isometries) in the plane compared to those in space- an introduction:
The Platonic and Archimedean Solids
Rotations: Center point - central axis
Reflection : across line - across plane
Symmetries of the octhaedron:
Activity. Symmetries of the Cube.
Isometries in space: products of reflections in space:
Rotations and translations
Applications to dance
Polyhedra and Duality
In space: Dual polyhedron.
Connected by counting and constructions.
Vertex - Face
Dodecahedron - icosahedron; tetrahedron.
Platonic (regular convex polyhedra) and Archimedean (semiregular convex) Solids-
on the web
The 5 Platonic Solids
The Archimedean Solids in more detail [Handout!]
The 13 Archimedean Solids
More on The regular and semiregular polyhedra: Check this site! from
Visual geometry pages
Getting familiar with the cube and octahedron with shadows.