The Three-Color Triangle Problem (Essays in Memory of the Late Professor Yukio Ito)
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- 西山 豊
- 大阪経済大学
書誌事項
- タイトル別名
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- <Article> The Three-Color Triangle Problem (Essays in Memory of the Late Professor Yukio Ito)
- The Three-Color Triangle Problem
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Place elements in the form of an inverted triangle, and color them from top to bottom by row according to some rule. When doing so, is it possible to predict the color of the element that becomes the triangle's botttom vertex? It turns out that when you begin with a triangle of 4,10,28, ... elements in its top row, knowing the colors of that row's leftmost and rightmost elements in sufficient to predict the color of that bottom vertex, and this article presents an elegant proof of this surprising result. Coloring triangles is simple even for children, but this problem provides a springboard to learning about some advanced mathematics, including Abelian groups, the superposition principle, and fractal structures.
収録刊行物
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- 大阪経大論集
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大阪経大論集 64 (1), 9-20, 2013
大阪経大学会
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詳細情報 詳細情報について
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- CRID
- 1390282679269347456
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- NII論文ID
- 110009603079
- 120005534895
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- NII書誌ID
- AN00028448
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- ISSN
- 24335681
- 04747909
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- NDL書誌ID
- 024793139
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- IRDB
- NDL
- CiNii Articles
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