Planar sections of three-dimensional cylinders (Q1708015)
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scientific article; zbMATH DE number 6855778
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Planar sections of three-dimensional cylinders |
scientific article; zbMATH DE number 6855778 |
Statements
Planar sections of three-dimensional cylinders (English)
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4 April 2018
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The paper under review studies the following questions: Does every interior point of a \(3\)-dimensional convex body \(C\) lie on a planar section with an \(C\)-inscribed regular hexagon, and does the center of a centrally symmetric \(3\)-dimensional convex body \(C\) lie on a planar section with an \(C\)-inscribed regular octagon. The author proves these properties for special type of cylinders.
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cylinder
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section
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regular hexagon and octagon
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planar section
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0.8046106696128845
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0.7531495094299316
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0.7484108209609985
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0.7432522177696228
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