Tuesday, April 11
Continuing with Similarity.
- Number of vertices on an n-dimensional "cube"
Arithmetic and Geometric Series.
- "half the distance to the goal"
Application to economics.
Seeing the infinite... small and large.
How many points are there on a line segment? Can you count them all?
list (possibly infinite) of points in a given segment of a euclidean line
will not have every point in that segment on the list.
that we can make a list of points corresponding to the rational numbers
once a unit length had been established.
What is a curve?
Curves and approximations of curves by line segments and polygons.
Regular Polygons and the circle.
The length of a curve.
Infinite curves: The snowflake.
Activity on snowflakes.
Space filling curves.