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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2008, Number 2, Pages 35–45
(Mi basm17)
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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.
Received: 22.09.2007
Citation:
Elizaveta Zamorzaeva, “Non-fundamental 2-isohedral tilings of the sphere”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2008, no. 2, 35–45
Linking options:
https://www.mathnet.ru/eng/basm17 https://www.mathnet.ru/eng/basm/y2008/i2/p35
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Abstract page: | 406 | Full-text PDF : | 111 | References: | 95 | First page: | 2 |
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