Double Orthogonal Projection of Four-Dimensional Objects onto Two Perpendicular Three-Dimensional Spaces

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10378551" target="_blank" >RIV/00216208:11320/18:10378551 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1007/s00004-017-0368-2" target="_blank" >https://doi.org/10.1007/s00004-017-0368-2</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00004-017-0368-2" target="_blank" >10.1007/s00004-017-0368-2</a>

Result language

angličtina

Original language name

Double Orthogonal Projection of Four-Dimensional Objects onto Two Perpendicular Three-Dimensional Spaces

Original language description

A method of visualization of four-dimensional objects using a double orthogonal parallel projection onto two orthogonal three-dimensional spaces is proposed. A synthetic approach, with the use of basic descriptive geometry tools of Monge&apos;s projection in interactive 3D graphical software, is taken. Descriptive constructions of projections of points, lines, planes and three-dimensional spaces are shown. Methods of measuring true lengths of segments and rotating projections of objects into the modeling space are described. The focus lies on improving the spatial ability and understanding of the four-dimensional space. An example of a construction is carried out on a model of tesseract. All the constructions are analogies of constructions in Monge&apos;s projection of a three-dimensional space. With advantages of interactive computer graphics, the constructions are easy to perform, and objects are easy to manipulate with.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2018

Confidentiality

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

Name of the periodical

Nexus Network Journal

ISSN

1590-5896

e-ISSN

—

Volume of the periodical

20

Issue of the periodical within the volume

1

Country of publishing house

IT - ITALY

Number of pages

15

Pages from-to

267-281

UT code for WoS article

000430008600016

EID of the result in the Scopus database

2-s2.0-85040598108