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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2008, Number 2, Pages 35–45 (Mi basm17)  

Research articles

Non-fundamental 2-isohedral tilings of the sphere

Elizaveta Zamorzaeva

State University of Moldova
References:
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
Bibliographic databases:
Document Type: Article
MSC: 52C20
Language: English
Citation: Elizaveta Zamorzaeva, “Non-fundamental 2-isohedral tilings of the sphere”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2008, no. 2, 35–45
Citation in format AMSBIB
\Bibitem{Zam08}
\by Elizaveta~Zamorzaeva
\paper Non-fundamental 2-isohedral tilings of the sphere
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2008
\issue 2
\pages 35--45
\mathnet{http://mi.mathnet.ru/basm17}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2435799}
\zmath{https://zbmath.org/?q=an:1151.52015}
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    Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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