Solids whose parallel cross-sections are regular polygons

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Title: Solids whose parallel cross-sections are regular polygons
Author: Coppenbarger, Matthew
Abstract: Given a solid in R3 whose base is contained in the xy-plane and parallel cross-sections perpendicular to the xy-plane are regular polygons, the volume and surface area are determined. Additionally, the asymptotic behavior of the solid as the number of sides of the cross-sectional polygon increases is analyzed (Refer to PDF file for exact formulas).
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Date: 2004

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