| 等角半正多面体的投影研究 |
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| 引用本文： | 和宪廉,吕明. 等角半正多面体的投影研究[J]. 包头钢铁学院学报, 1991, 0(1) |
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| 作者姓名： | 和宪廉 吕明 |
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| 作者单位： | 包头钢铁学院建工系，包头钢铁学院基础部 |
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| 摘 要： | 从开发等角半正多面体在工程方面的实际应用出发,本文推导出了十三种半正多面体各自的棱长与外接球半径的数值关系;分析了它们的对称性,明确了各多面体上各阶对称轴的阶数、数量和位置;确定了当各阶对称轴垂直投影面时,该多面体的正投影图形状及几何关系;说明了当已知外接球半径(或棱长)时,这些投影图的作图原理和方法,为使等角半正多面体在实际工程上的应用提供了理论依据和技术条件。
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| 关 键 词： | 多面体 半正多面体 投影图 |
STUDING ON PROJECTION OF SEMI-POLYHEDRA |
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| He Xianlian,Lu Ming. STUDING ON PROJECTION OF SEMI-POLYHEDRA[J]. Journal of Baotou University of Iron and Steel Technology, 1991, 0(1) |
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| Authors: | He Xianlian Lu Ming |
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| Affiliation: | He Xianlian;Lu Ming |
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| Abstract: | In order to open up the application of semi-polyhedra on projects,in this paper,the author calcu-lates the numerical relationship between edge and radius of its circumscribed sphere for every semi-polyhedron; analyses their symmetry and shows clearly order,number,and places of the symmetric ax-es on polyhedra;determines the form and geometrical relations for polyhedron's orthometric projectionwhen each kind of symmetric axis perpendicular to the projection plane;explains the fundamentals andthe methods for drawing when the radius of its cirumscribed sphere or edge being known; and tries toprovide the theoretical bases and technical conditions for applying semi-polyhedra to practical projects. |
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| Keywords: | polyhedron semi-polyhedron projection |
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