English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

This paper shows how beginning with Justus Grassmann's work, HermannGrassmann was influenced in his mathematical thinking by crystallography. H.Grassmann's Ausdehnungslehre in turn had a decisive influence on W.K. Cliffordin the genesis of geometric algebras. Geometric algebras have been expanded toconformal geometric algebras, which provide an ideal framework for moderncomputer graphics. Within this framework a new visualization ofthree-dimensional crystallographic space groups has been created. The complexbeauty of this new visualization is shown by a range of images of a diamondcell. Mathematical details are given in an appendix.

New views of crystal symmetry guided by profound admiration of the extraordinary works of Grassmann and Clifford