Abstract
The local structure of the derived tilings $$ \mathcal{T} $$ of the two-dimensional torus 𝕋2 is studied. The polygonal types of stars in these tilings are classified. It is proved that in the nondegenerate case, the tilings $$ \mathcal{T} $$ contain stars of seven different types, and all the types are represented by stars with interior vertices from the crown Cr of the tiling $$ \mathcal{T} $$ . Also the maximum principle is established, based on which the layer-by-bayer growth algorithm for the derived tilings $$ \mathcal{T} $$ is constructed.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
