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RecordNumber
2053
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Author
Burkholder, Douglas G.
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Title of Article
Visualizing Affine Regular, Area-Preserving Decompositions of Irregular 3D Pentagons and Heptagons
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Title Of Journal
Bridges
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Publication Year
2014
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Page
333-336
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Notes
ProceedingsofBridges2014:Mathematics,Music,Art,Architecture,Culture , براي مشاهده و دانلود مقاله به لينك مدارك مرتبط مراجعه نماييد
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Abstract
We demonstrate a simple, elegant, and visual method for decomposing irregular pentagons into a pair of affine images of the two distinct types of regular pentagons. Moreover, the sum of the area of the two affine images equals the area of the original irregular pentagon. Similarly, we decompose irregular heptagons into a triple of affine images of the three distinct types of regular heptagons. One can use these decompositions to design visually interesting sculptures reflecting these geometric relationships.
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URL
,/DL/Data Entry/Edit/AddToCompilation.aspx,/DL/Data Entry/NewEdit/Documents/Math_English_Electronic_Articles_EditCompile_454.aspx
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Link To Document :
