About: Line group     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatEuclideanSymmetries, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)
QRcode icon
http://dbpedia.demo.openlinksw.com/c/8tKMVSoJXU

A line group is a mathematical way of describing symmetries associated with moving along a line. These symmetries include repeating along that line, making that line a one-dimensional lattice. However, line groups may have more than one dimension, and they may involve those dimensions in its isometries or symmetry transformations.

AttributesValues
rdf:type
rdfs:label
  • Line group (en)
rdfs:comment
  • A line group is a mathematical way of describing symmetries associated with moving along a line. These symmetries include repeating along that line, making that line a one-dimensional lattice. However, line groups may have more than one dimension, and they may involve those dimensions in its isometries or symmetry transformations. (en)
foaf:depiction
  • http://commons.wikimedia.org/wiki/Special:FilePath/Wallpaper_group_diagram_cm.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Wallpaper_group_diagram_cm_rotated.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Wallpaper_group_diagram_cmm.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Wallpaper_group_diagram_p1_rect.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Wallpaper_group_diagram_p2.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Wallpaper_group_diagram_pg.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Wallpaper_group_diagram_pg_rotated.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Wallpaper_group_diagram_pm.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Wallpaper_group_diagram_pm_rotated.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Wallpaper_group_diagram_pmg.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Wallpaper_group_diagram_pmg_rotated.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Wallpaper_group_diagram_pmm.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Frieze_group_11.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Frieze_group_1g.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Frieze_group_12.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Frieze_group_m1.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Frieze_group_mg.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Coxeter_helix.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Frieze_group_1m.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Frieze_group_mm.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Wallpaper_group_diagram_pgg_rhombic.svg
dct:subject
Wikipage page ID
Wikipage revision ID
Link from a Wikipage to another Wikipage
sameAs
dbp:wikiPageUsesTemplate
thumbnail
has abstract
  • A line group is a mathematical way of describing symmetries associated with moving along a line. These symmetries include repeating along that line, making that line a one-dimensional lattice. However, line groups may have more than one dimension, and they may involve those dimensions in its isometries or symmetry transformations. One constructs a line group by taking a point group in the full dimensions of the space, and then adding translations or offsets along the line to each of the point group's elements, in the fashion of constructing a space group. These offsets include the repeats, and a fraction of the repeat, one fraction for each element. For convenience, the fractions are scaled to the size of the repeat; they are thus within the line's unit cell segment. (en)
gold:hypernym
prov:wasDerivedFrom
page length (characters) of wiki page
foaf:isPrimaryTopicOf
is Link from a Wikipage to another Wikipage of
Faceted Search & Find service v1.17_git147 as of Sep 06 2024


Alternative Linked Data Documents: ODE     Content Formats:   [cxml] [csv]     RDF   [text] [turtle] [ld+json] [rdf+json] [rdf+xml]     ODATA   [atom+xml] [odata+json]     Microdata   [microdata+json] [html]    About   
This material is Open Knowledge   W3C Semantic Web Technology [RDF Data] Valid XHTML + RDFa
OpenLink Virtuoso version 08.03.3332 as of Dec 5 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 64 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software