Monday March 24
Discuss assignment for this week - make note of project and portfolio.
of Isometries - Symmetries
An isometry is a transformation that preserves the distance between
We have discussed four
reflections, rotations, translations, and glide reflections.
The Product of isometries:
The product of two reflections is either a rotation (if the
axes of the reflection intersect) or a translation (if the axes
the reflection are parallel).
demonstration for reflection- one and two reflections
How do we understand objects in space?
How can the Flatlander experience the sphere and space?
The simplest three dimensional figure has 4 points not all in the same
plane: three point determine a plane- so a fourth point not in that
plane will need "space" to make sense. These four points determine a
Fold downs- flattened figures:
Consider how the tetrahedron can be assembled
folded down triangles.
Consider how the cube can be assembled
folded down squares in two different configurations: a cross or a