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An Unexpected Right Angle
Bayes' Theorem
Circle as a limit of polygons
Circles of Apollonius
Combining Numbers
Complex logarithm
Constructing the square root
Cube roots, branch cuts, and Wolfram Alpha
Domain and Range
Eight Queens
Ellipse in a Box
Equilateral triangle and regular 9gon
Eratosthenes measures Earth
Hinged squares
Lights Out
Logarithmic Spirals and Exponentiation
Math Video Sites
Missing square puzzle
Parabolas through three points
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Regular polygons and diagonals
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Here are some questions that can be explored using this applet. Some are easy, some are very hard.
How are the polygons named?
Is there a pattern or a formula for the number of diagonals of a regular polygon with n sides?
Can you tell whether n is odd or even just by looking at the polygon?
What is the explanation for the ring patterns that we see when n is large?
Is it possible for four diagonals to meet at a common interior point other than the center?
What numbers do the perimeter and area approach as n increases?
Why does the perimeter seem approach a limit more rapidly than the area does?
polygon_diagonals2.ggb
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Here are some questions that can be explored using this applet. Some are easy, some are very hard.