What does the riemann Sphere’s axis stand for? Understanding the big picture of how mathematical functions behave

Atsushi Miyazawa, Masanori Nakayama, Issei Fujishiro

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

To visualize the behavior of complex functions, we need four dimensions. We raise the question that has been neglected: “What does the Riemann sphere’s axis stand for?” The answer can be obtained by setting the immersive environment at the sphere’s origin, which is always undefined in projective geometry.

Original languageEnglish
Title of host publicationSIGGRAPH Asia 2017 Symposium on Education, SA 2017
PublisherAssociation for Computing Machinery, Inc
ISBN (Electronic)9781450354097
DOIs
Publication statusPublished - 2017 Nov 27
EventSIGGRAPH Asia 2017 Symposium on Education, SA 2017 - Bangkok, Thailand
Duration: 2017 Nov 272017 Nov 30

Other

OtherSIGGRAPH Asia 2017 Symposium on Education, SA 2017
CountryThailand
CityBangkok
Period17/11/2717/11/30

Fingerprint

mathematics
Geometry

Keywords

  • Complex function
  • Immersive environment
  • Mathematical visualization
  • N-dimensional graphics

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Media Technology
  • Human-Computer Interaction
  • Education

Cite this

Miyazawa, A., Nakayama, M., & Fujishiro, I. (2017). What does the riemann Sphere’s axis stand for? Understanding the big picture of how mathematical functions behave. In SIGGRAPH Asia 2017 Symposium on Education, SA 2017 [a5] Association for Computing Machinery, Inc. https://doi.org/10.1145/3134368.3139212

What does the riemann Sphere’s axis stand for? Understanding the big picture of how mathematical functions behave. / Miyazawa, Atsushi; Nakayama, Masanori; Fujishiro, Issei.

SIGGRAPH Asia 2017 Symposium on Education, SA 2017. Association for Computing Machinery, Inc, 2017. a5.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Miyazawa, A, Nakayama, M & Fujishiro, I 2017, What does the riemann Sphere’s axis stand for? Understanding the big picture of how mathematical functions behave. in SIGGRAPH Asia 2017 Symposium on Education, SA 2017., a5, Association for Computing Machinery, Inc, SIGGRAPH Asia 2017 Symposium on Education, SA 2017, Bangkok, Thailand, 17/11/27. https://doi.org/10.1145/3134368.3139212
Miyazawa A, Nakayama M, Fujishiro I. What does the riemann Sphere’s axis stand for? Understanding the big picture of how mathematical functions behave. In SIGGRAPH Asia 2017 Symposium on Education, SA 2017. Association for Computing Machinery, Inc. 2017. a5 https://doi.org/10.1145/3134368.3139212
Miyazawa, Atsushi ; Nakayama, Masanori ; Fujishiro, Issei. / What does the riemann Sphere’s axis stand for? Understanding the big picture of how mathematical functions behave. SIGGRAPH Asia 2017 Symposium on Education, SA 2017. Association for Computing Machinery, Inc, 2017.
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