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Topic: Triangle Puzzle
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Evelyn Sander

Posts: 187
Registered: 12/3/04
Triangle Puzzle
Posted: Nov 24, 1993 11:14 AM
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Triangle Puzzle

Pick an arbitrary point in the interior of an equilateral triangle.
Now go halfway towards one of the three vertices (you get to pick
which vertex). Now you are at a new point in the triangle. Again go
halfway towards any vertex. Continue this process.

What is the long term behavior? In other words, what points can you
reach after repeating this process an arbitrarily large number of

I am interested in using this problem to demonstrate the use of
computers in teaching. Please let me know if you solve it using computers
and what software you use. I will post an answer next week.

Happy Thanksgiving!

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