About: Euclidean realm   Sponge Permalink

An Entity of Type : dbkwik:resource/NFb8hEdf4aO8B5_L5xml2w==, within Data Space : 134.155.108.49:8890 associated with source dataset(s)

The Euclidean realm is a flat, infinitely large three-dimensional space that follows the rules of Euclidean geometry. It can be created by taking the cartesian product of three copies of the Euclidean line. A realm can be used to bisect a teron, and polychora can have realms of symmetry through which they can be reflected. Taking multiple realmic cross sections of a polychoron can give insight into their structure; this is one method that can be used to visualise polychora without needing to picture a four-dimensional space.

AttributesValues
rdf:type
rdfs:label
  • Euclidean realm
rdfs:comment
  • The Euclidean realm is a flat, infinitely large three-dimensional space that follows the rules of Euclidean geometry. It can be created by taking the cartesian product of three copies of the Euclidean line. A realm can be used to bisect a teron, and polychora can have realms of symmetry through which they can be reflected. Taking multiple realmic cross sections of a polychoron can give insight into their structure; this is one method that can be used to visualise polychora without needing to picture a four-dimensional space.
dcterms:subject
cells
  • 1(xsd:integer)
dimensionality
  • 3(xsd:integer)
dbkwik:verse-and-d...iPageUsesTemplate
Image
  • 2000(xsd:integer)
equivalent manifold
  • Euclidean realm
abstract
  • The Euclidean realm is a flat, infinitely large three-dimensional space that follows the rules of Euclidean geometry. It can be created by taking the cartesian product of three copies of the Euclidean line. A realm can be used to bisect a teron, and polychora can have realms of symmetry through which they can be reflected. Taking multiple realmic cross sections of a polychoron can give insight into their structure; this is one method that can be used to visualise polychora without needing to picture a four-dimensional space.
Alternative Linked Data Views: ODE     Raw Data in: CXML | CSV | RDF ( N-Triples N3/Turtle JSON XML ) | OData ( Atom JSON ) | Microdata ( JSON HTML) | JSON-LD    About   
This material is Open Knowledge   W3C Semantic Web Technology [RDF Data] Valid XHTML + RDFa
OpenLink Virtuoso version 07.20.3217, on Linux (x86_64-pc-linux-gnu), Standard Edition
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2012 OpenLink Software