The Four-Number Game

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Place four numbers on the corners of a square. Place the positive difference of corners on the midpoint of each side. Repeat until the numbers are equal at some level and the differences become zero. The quadruples are called a Ducci sequence.

Contributed by: Theodore S. Erickson (Wheeling Jesuit University) (March 2011)
Based on work by: Dan Shapiro (Ohio State University)
Open content licensed under CC BY-NC-SA


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