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JOURNALS // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Archive

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

Research articles

Non-fundamental 2-isohedral tilings of the sphere

Elizaveta Zamorzaeva

State University of Moldova

Abstract: 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.

Keywords and phrases: Tilings of the sphere, 2-isohedral tilings, non-fundamental tilings.

MSC: 52C20

Received: 22.09.2007

Language: English



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