Geometric Constructions of Regular N-Gons Wednesday, April 4, 2007
**How do you construct a regular octagon given:
By the width of apothem (one construction):
A segment from center to the vertex:
Continuing – extending the previous construction:
Construction given a width:
**Can you find any golden ratios within the construction of an octagon?
New Problem (“Exploration of a problem with two squares”):
What is the ratio of the big square to the small, yellow “square”?
Using more parallel lines can provide a “grid” for students to have a better visual idea as to how much this is:
How might that change if we weren’t using the midpoints, but rather points 1/3 or 1/4 of the way down instead of half way down?