A New Proof of the Euler Formula

It is a new proof of the Euler formula for a convex polyhedron in R<span style="line-height: 150%; font-family: 'Calibri','sans-serif'; font-size: 11pt; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-hansi-the...

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Main Author: M. I. Shtogrin
Format: Article
Language:English
Published: Yaroslavl State University 2012-01-01
Series:Моделирование и анализ информационных систем
Subjects:
Online Access:http://mais-journal.ru/jour/article/view/152
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author M. I. Shtogrin
author_facet M. I. Shtogrin
author_sort M. I. Shtogrin
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description It is a new proof of the Euler formula for a convex polyhedron in R<span style="line-height: 150%; font-family: 'Calibri','sans-serif'; font-size: 11pt; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-bidi-font-family: 'Times New Roman'; mso-bidi-theme-font: minor-bidi; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;" lang="EN-US">³</span>.
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spelling doaj.art-61d68918bca449c79572b22cc1060fad2023-01-03T02:03:58ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172012-01-01196170172146A New Proof of the Euler FormulaM. I. Shtogrin0Математический институт им. В.А. Стеклова РАН; Ярославский государственный университет им. П.Г. Демидова, Международная лаборатория "Дискретная и вычислительная геометрия" им. Б.Н. ДелонеIt is a new proof of the Euler formula for a convex polyhedron in R<span style="line-height: 150%; font-family: 'Calibri','sans-serif'; font-size: 11pt; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-bidi-font-family: 'Times New Roman'; mso-bidi-theme-font: minor-bidi; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;" lang="EN-US">³</span>.http://mais-journal.ru/jour/article/view/152уголмногоугольникмногогранникформула Эйлера
spellingShingle M. I. Shtogrin
A New Proof of the Euler Formula
Моделирование и анализ информационных систем
угол
многоугольник
многогранник
формула Эйлера
title A New Proof of the Euler Formula
title_full A New Proof of the Euler Formula
title_fullStr A New Proof of the Euler Formula
title_full_unstemmed A New Proof of the Euler Formula
title_short A New Proof of the Euler Formula
title_sort new proof of the euler formula
topic угол
многоугольник
многогранник
формула Эйлера
url http://mais-journal.ru/jour/article/view/152
work_keys_str_mv AT mishtogrin anewproofoftheeulerformula
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