CONVEX-BODIES WITH SIMILAR PROJECTIONS

被引：6

作者：

GARDNER, RJ ^{[1
]}

VOLCIC, A ^{[1
]}

机构：

[1] UNIV TRIESTE,DIPARTIMENTO SCI MATEMAT,I-34100 TRIESTE,ITALY

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 121卷 / 02期

关键词：

CONVEX BODY; PROJECTION; SECTION; DIRECT HOMOTHETY; SIMILARITY; AFFINE EQUIVALENCE;

D O I：

10.2307/2160435

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By examining an example constructed by Petty and McKinney, we show that there are pairs of centered and coaxial bodies of revolution in E(d), d greater-than-or-equal-to 3, whose projections onto each two-dimensional subspace are similar, but which are not themselves even affinely equivalent.

引用

页码：563 / 568

页数：6

共 50 条

[1] MEAN PROJECTIONS AND FINITE PACKINGS OF CONVEX-BODIES
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[2] ESTIMATING THE SIZES OF CONVEX-BODIES FROM PROJECTIONS
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[3] AN ALGORITHM FOR RECONSTRUCTING CONVEX-BODIES FROM THEIR PROJECTIONS
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[9] EQUIPARTITION OF CONVEX-BODIES
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[10] REGULAR CONVEX-BODIES
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