Four-Dimensional Visual Exploration of the Complex Number Plane

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10446412" target="_blank" >RIV/00216208:11320/23:10446412 - isvavai.cz</a>

Alternative codes found

RIV/00216208:11410/23:10446412

Result on the web

<a href="https://doi.org/10.1007/978-3-031-13588-0_12" target="_blank" >https://doi.org/10.1007/978-3-031-13588-0_12</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-031-13588-0_12" target="_blank" >10.1007/978-3-031-13588-0_12</a>

Result language

angličtina

Original language name

Four-Dimensional Visual Exploration of the Complex Number Plane

Original language description

A straight line intersects a circle in two, one, or no real points. In the last case, they have two complex conjugate intersecting points. We present their construction by tracing the circle with all lines. To visualize these points, the real plane is extended with the imaginary dimensions to four-dimensional real space. The surface generated by all complex points is orthogonally projected into two three-dimensional subspaces generated by both real and one of the imaginary dimensions. The same method is used to trace and visualize other real and imaginary conics and a cubic curve. Furthermore, we describe a graphical representation of complex lines in the four-dimensional space and discuss the elementary incidence properties of points and lines. This paper provides an accessible method of visualization of the complex number plane.

Czech name

—

Czech description

—

Type

C - Chapter in a specialist book

CEP classification

—

OECD FORD branch

50301 - Education, general; including training, pedagogy, didactics [and education systems]

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Book/collection name

Lecture Notes on Data Engineering and Communications Technologies

ISBN

978-3-031-13587-3

Number of pages of the result

12

Pages from-to

138-149

Number of pages of the book

1071

Publisher name

Springer

Place of publication

Cham

UT code for WoS chapter

000870322600012