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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The coincidence problem for planar patterns with $N$-fold symmetry isconsidered. For the N-fold symmetric module with $N<46$, all isometries of theplane are classified that result in coincidences of finite index. This is doneby reformulating the problem in terms of algebraic number fields and usingprime factorization. The more complicated case $N \ge 46$ is briefly discussedand N=46 is described explicitly.  The results of the coincidence problem also solve the problem of colourlattices in two dimensions and its natural generalization to colour modules.Comment: 38 pages, 4 figures; updated and slightly corrected version of a  paper published in J. Math. Phys. (see below

Planar coincidences for N-fold symmetry