Thursday, 19 September 2013

From random polygon to ellipse


From random polygon to ellipse

Draw some random points on a piece of paper and join them up to make a random polygon. Find all the midpoints and connecting them up to give a new shape, and repeat. The resulting shape will get smaller and smaller, and will tend towards an ellipse.

More about this: 
http://www.jasondavies.com/random-polygon-ellipse/

7 comments:

  1. it may a circle too....bt yaa...circle is a special case of ellipse.......

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  2. OR it could tend to an egg, of which an ellipse is a special case ;)

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  3. Is there a rule for connecting the mid-points? If it's random, then this requires some purposeful choosing.

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  4. The rule is connecting consecutive midpoints. In other words, if you have two edges that meet at a vertex, then you join their midpoints.

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