RUS  ENG
Полная версия
ЖУРНАЛЫ // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Архив

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2008, номер 2, страницы 35–45 (Mi basm17)

Research articles

Non-fundamental 2-isohedral tilings of the sphere

Elizaveta Zamorzaeva

State University of Moldova

Аннотация: The investigation of 2-isohedral tilings of the 2-dimensional sphere is continued. In previous works all the fundamental 2-isohedral tilings of the sphere have been enumerated. Here non-fundamental 2-isohedral tilings of the sphere are obtained from the fundamental ones using the method of gluing disks. For all the 7 countable series of isometry groups of the sphere the classification of normal non-fundamental tilings is given in a table of pictures. For non-normal tilings only numerical results are given. For the 7 separate isometry groups of the sphere numerical results are also shown.

Ключевые слова и фразы: Tilings of the sphere, 2-isohedral tilings, non-fundamental tilings.

MSC: 52C20

Поступила в редакцию: 22.09.2007

Язык публикации: английский



Реферативные базы данных:


© МИАН, 2024