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Constructive Hopf's Theorem, or How to Untangle Closed Planar Curves (Classic Reprint) - Tapa blanda
Sinopsis
Excerpt from Constructive Hopf's Theorem, or How to Untangle Closed Planar Curves
Transformation steps: checking if two polygons are equivalent is in itself a trivial process of keeping a cumulative sum of the angles turned. The key insight comes from putting the vertices on a circle, thereby reducing polygons to combinatorial objects (the cyclic permutation of their vertices around.
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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Excerpt from Constructive Hopf's Theorem, or How to Untangle Closed Planar Curves
Transformation steps: checking if two polygons are equivalent is in itself a trivial process of keeping a cumulative sum of the angles turned. The key insight comes from putting the vertices on a circle, thereby reducing polygons to combinatorial objects (the cyclic permutation of their vertices around.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Reseña del editor
Excerpt from Constructive Hopf's Theorem, or How to Untangle Closed Planar Curves
Our proof shows incidentally: (1) It suffices to use (t1,t2) transformations to make a polygon irreducible and (2) any two equivalent irreducible polygons are inter-transformable using only (t2)
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Constructive Hopf's Theorem, or How to Untangle Closed Planar Curves
Impresión bajo demandaLibrería: Forgotten Books, London, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: New. Print on Demand. This book presents a constructive proof of Hopf's theorem, providing a groundbreaking algorithmic approach to untangling closed planar curves. The author's direct proof offers quantitative and complexity information implicit in the result. The text delves into the classication of polygons, utilizing a unique approach that involves transformations such as insertion, deletion, and translation. This work advances the field of computational geometry, providing valuable insights into the behavior of closed curves and their classification. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Nº de ref. del artículo: 9781332870813_0
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Constructive Hopf's Theorem, or How to Untangle Closed Planar Curves Classic Reprint
Librería: PBShop.store US, Wood Dale, IL, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781332870813
Cantidad disponible: 15 disponibles
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Constructive Hopf's Theorem, or How to Untangle Closed Planar Curves Classic Reprint
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781332870813
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