Analysis of the development diagram of the cube using graph theory

In this study, a method of analyzing development diagram of cubes with graph theory was considered.To this end, the development diagram of cubes covered in school mathematics was analyzed using a tree, and the method was applied to the development diagram of cubes in which the faces were arbitrarily cut.The development diagram in which the faces are arbitrarily cut becomes the subject of activity for mathematical creativity, and the higher the complexity of the structure, the more difficult it becomes to grasp the relationship with the cube.However, if the graph theory can be applied and converted into a typical degree of development, it becomes easier to grasp the structure.The graphical analysis method of the development diagram provides a new perspective to explore threedimensional figures and development diagrams, and can be used to analyze creative products.

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Publication Details

Journal
The Mathematical Education
Published
2024-11-30
DOI
https://doi.org/10.63311/mathedu.2024.63.4.707
Primary Topic
Manufacturing Process and Optimization
Type
article
Field-Weighted Citation Impact
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article

Analysis of the development diagram of the cube using graph theory

Yonghwa Chung
The Mathematical Education
Manufacturing Process and Optimization
article

Analysis of the development diagram of the cube using graph theory

Yonghwa Chung
article en

Abstract

In this study, a method of analyzing development diagram of cubes with graph theory was considered.To this end, the development diagram of cubes covered in school mathematics was analyzed using a tree, and the method was applied to the development diagram of cubes in which the faces were arbitrarily cut.The development diagram in which the faces are arbitrarily cut becomes the subject of activity for mathematical creativity, and the higher the complexity of the structure, the more difficult it becomes to grasp the relationship with the cube.However, if the graph theory can be applied and converted into a typical degree of development, it becomes easier to grasp the structure.The graphical analysis method of the development diagram provides a new perspective to explore threedimensional figures and development diagrams, and can be used to analyze creative products.

The Mathematical EducationVol. 63(4)
Dongguk University (KR), Dongguk University WISE
Openalex Percentile: Top 58%
Manufacturing Process and Optimization
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Analysis of the development diagram of the cube using graph theory — Yonghwa Chung · The Mathematical Education (2024) | TGRS Research Map | TGRS