Mapping lines and circles onto the Riemann sphere
Educação Superior::Ciências Exatas e da Terra::Matemática One of the great miracles of mathematics is the fact that an infinitely extended plane, which is densely packed with complex numbers, can be mapped onto a sphere with radius 1/2 and hence an area of . Here you can see a decent fraction of the...
Main Author: | |
---|---|
Other Authors: | |
Format: | Other/Unknown Material |
Language: | unknown |
Published: |
Wolfram Demonstrations Project
2016
|
Subjects: | |
Online Access: | http://acervodigital.unesp.br/handle/unesp/366467 http://objetoseducacionais2.mec.gov.br/handle/mec/22639 |
id |
ftunivesp:oai:acervodigital.unesp.br:unesp/366467 |
---|---|
record_format |
openpolar |
spelling |
ftunivesp:oai:acervodigital.unesp.br:unesp/366467 2023-05-15T18:22:23+02:00 Mapping lines and circles onto the Riemann sphere Domke, Hans-Joachim Universidade Estadual Paulista (UNESP) 2016-10-26T17:59:32Z http://acervodigital.unesp.br/handle/unesp/366467 http://objetoseducacionais2.mec.gov.br/handle/mec/22639 unknown Wolfram Demonstrations Project MappingLinesAndCirclesOntoTheRiemannSphere.nbp http://acervodigital.unesp.br/handle/unesp/366467 http://objetoseducacionais2.mec.gov.br/handle/mec/22639 Demonstration freeware using MathematicaPlayer Complex analysis Educação Superior::Ciências Exatas e da Terra::Matemática::Análise Complexa outro 2016 ftunivesp 2021-07-18T09:19:00Z Educação Superior::Ciências Exatas e da Terra::Matemática One of the great miracles of mathematics is the fact that an infinitely extended plane, which is densely packed with complex numbers, can be mapped onto a sphere with radius 1/2 and hence an area of . Here you can see a decent fraction of the complex plane and the south pole of the Riemann sphere placed at the origin. You can observe how straight lines or circles in the complex plane are transformed into circles on the sphere. The "radius" control changes the radius of the circle while "angle" alters the angle between the straight line and the real axis. "Point" is the center of the circle or one point of the line that you can move in the part of the complex plane shown Other/Unknown Material South pole Universidade Estadual Paulista São Paulo: Acervo Digital da UNESP / São Paulo State University South Pole |
institution |
Open Polar |
collection |
Universidade Estadual Paulista São Paulo: Acervo Digital da UNESP / São Paulo State University |
op_collection_id |
ftunivesp |
language |
unknown |
topic |
Complex analysis Educação Superior::Ciências Exatas e da Terra::Matemática::Análise Complexa |
spellingShingle |
Complex analysis Educação Superior::Ciências Exatas e da Terra::Matemática::Análise Complexa Domke, Hans-Joachim Mapping lines and circles onto the Riemann sphere |
topic_facet |
Complex analysis Educação Superior::Ciências Exatas e da Terra::Matemática::Análise Complexa |
description |
Educação Superior::Ciências Exatas e da Terra::Matemática One of the great miracles of mathematics is the fact that an infinitely extended plane, which is densely packed with complex numbers, can be mapped onto a sphere with radius 1/2 and hence an area of . Here you can see a decent fraction of the complex plane and the south pole of the Riemann sphere placed at the origin. You can observe how straight lines or circles in the complex plane are transformed into circles on the sphere. The "radius" control changes the radius of the circle while "angle" alters the angle between the straight line and the real axis. "Point" is the center of the circle or one point of the line that you can move in the part of the complex plane shown |
author2 |
Universidade Estadual Paulista (UNESP) |
format |
Other/Unknown Material |
author |
Domke, Hans-Joachim |
author_facet |
Domke, Hans-Joachim |
author_sort |
Domke, Hans-Joachim |
title |
Mapping lines and circles onto the Riemann sphere |
title_short |
Mapping lines and circles onto the Riemann sphere |
title_full |
Mapping lines and circles onto the Riemann sphere |
title_fullStr |
Mapping lines and circles onto the Riemann sphere |
title_full_unstemmed |
Mapping lines and circles onto the Riemann sphere |
title_sort |
mapping lines and circles onto the riemann sphere |
publisher |
Wolfram Demonstrations Project |
publishDate |
2016 |
url |
http://acervodigital.unesp.br/handle/unesp/366467 http://objetoseducacionais2.mec.gov.br/handle/mec/22639 |
geographic |
South Pole |
geographic_facet |
South Pole |
genre |
South pole |
genre_facet |
South pole |
op_relation |
MappingLinesAndCirclesOntoTheRiemannSphere.nbp http://acervodigital.unesp.br/handle/unesp/366467 http://objetoseducacionais2.mec.gov.br/handle/mec/22639 |
op_rights |
Demonstration freeware using MathematicaPlayer |
_version_ |
1766201784802476032 |