P.O.W 16 Spiralaterals

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  • Topic: Set, Line, Line segment
  • Pages : 2 (464 words )
  • Download(s) : 2115
  • Published : September 23, 2007
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Problem Statement:

When there is a sequence of line segments that forms a spiral-like shape it is known as a spiralateral. This assignment is to explore these spiralaterals and come to up with some rules about them and state the conclusions. Spiralaterals are usually drawn on pieces of graph paper. They are based on a sequence of numbers that can be of any length. To draw a spiralateral first pick a starting point anywhere on the paper. Then, going upward, you draw the first number in the sequence and put an arrow at the end of the line segment. Then turn clockwise 90º and draw the next number in the sequence in a line. Put an arrow at the end of that segment. Continue this pattern until it reaches the end of the numbers in the sequence. Instead of stopping there redraw the entire sequence again and again. Once you reach the original starting point it is considered finish. Some may never reach the starting point.


I wanted to know what many other spiralaterals would look like using all of the different combinations, but there was not time for that. I also want to know how 6, 7, or even 8 or more digit sequences would turn out like. Would they be closed? Opened? Another thing I want to know is what was the point of spiralaterals. Do they relate to math in any important way? I didn't really have a problem with this p.o.w, it was fairly simple. The only assistance I received on this p.o.w was from my group during class.


On a scale of 1-10 I would give this p.o.w a rating of 8. It wasn't extremely hard. Yet it wasn't extremely easy. Personally I liked this p.o.w, I don't think it could have been made any better. The best part of the p.o.w was being able to choose my own number combinations. The worst part was having to draw all the different spiralaterals

Results and conclusion

During the experiment, I noticed that all spiralaterals containing...
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