Perfect colourings of cyclotomic integers

• المؤلفون الرئيسيون: Bugarin, Enrico Paolo, De Las Peñas, Ma. Louise Antonette N, Frettlöh, Dirk
• التنسيق: text
• منشور في: Archīum Ateneo 2013
• الموضوعات: Colour symmetry; Cyclotomic fields; Tilings; Quasicrystals; Mathematics
• الوصول للمادة أونلاين: https://archium.ateneo.edu/mathematics-faculty-pubs/27; https://arxiv.org/abs/0905.4048

Perfect colourings of the rings of cyclotomic integers of class number one are studied. It is shown that all colourings induced by ideals (q) are chirally perfect, and vice versa. A necessary and sufficient condition for a colouring to be perfect is obtained, depending on the factorisation of q. Thi...