From Cyclic Sums to Projective Planes

Zarnowski presents a property of ordered n-tuples that leads to a variety of intriguing problems and important mathematical ideas. He begins by considering the ordered triple of numbers (1, 2, 4), and treat the numbers as connected cyclically, like beads on a closed necklace. The numbers that can be...

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Published in:The College mathematics journal 2007-09, Vol.38 (4), p.304-308
Main Author: Zarnowski, Roger
Format: Article
Language:English
Subjects:
Algorithms
Combinatorics
Design efficiency
Geometric planes
Integers
Mathematical problems
Mathematics
Project design
Property lines
Student Research Projects
Theorems
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description Zarnowski presents a property of ordered n-tuples that leads to a variety of intriguing problems and important mathematical ideas. He begins by considering the ordered triple of numbers (1, 2, 4), and treat the numbers as connected cyclically, like beads on a closed necklace. The numbers that can be obtained by summing adjacent terms of this "necklace" in groups of lengths 1, 2, and 3 are called cyclic sums.
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subjects Algorithms
Combinatorics
Design efficiency
Geometric planes
Integers
Mathematical problems
Mathematics
Project design
Property lines
Student Research Projects
Theorems
title From Cyclic Sums to Projective Planes
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