张晓艳,叶海精.基于多元方程求解阿基米德多面体构图问题研究[J].包装工程,2013,34(15):95-98.
ZHANG Xiao-yan,YE Hai-jing.Research on Basis of Multivariate Equation to Archimedean Polyhedron Composition Problem[J].Packaging Engineering,2013,34(15):95-98. |
| 基于多元方程求解阿基米德多面体构图问题研究 |
| Research on Basis of Multivariate Equation to Archimedean Polyhedron Composition Problem |
| 投稿时间：2013-05-08 修订日期：2013-08-10 |
| DOI： |
| 中文关键词: 阿基米德多面体 多元方程组 构图单元 设计 |
| 英文关键词: Archimedean polyhedron multivariate equation composition unit design |
| 基金项目:2011 年安徽省印刷图文信息处理省级特色专业建设项目(2011198)阶段性研究成果;2010 年安徽省包装技术与设计省级特色专业建设项目(20101814)阶段性研究成果 |
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| 中文摘要: |
| 分析了包装造型设计中常用的阿基米德多面体构图的基本元素和特点,探讨了2 种构图单元之间连接成型之间的关系,从而构建了多元一次方程组,并解析了构图单元的形状和数量之间的四元数学表达式。通过阿基米德多面体中的14,26 和32 面体构图方式的验证,确立了多元方程组的可行性,解决了实际设计过程中构图元素形状和数量问题,为设计者提供了较为实用的理论依据。 |
| 英文摘要: |
| The basic elements and characteristics of Archimedean polyhedron composition were analyzed, which was frequently used in packaging design. Two kinds of connection between the two composition units were discussed. Multiple elements primary equation set was established and quaternary mathematical expression of shape and quantity of the composition unit was solved. The feasibility of multivariate equations was verified with the composition manner of 14, 26 and 32 sides of Archimedean polyhedron. The shape and quantity of the composition elements in actual design process was solved. The purpose was to provide more practical theoretical basis for designer. |
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