A. M. R. Azevedo Breda, A class of tilings of S , Geom. Dedicata 44 (1992), 241--253.

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Classification of Tilings of the 2-Dimensional Sphere By.. - Ueno, Agaoka   (Correct)

....of congruent right triangles. The principle of classification in this paper is almost same as that of [10] But for the sake of completeness, we give here a complete proof, not depending on the results of [10] We remark that Azevedo Breda s classification of a special type of monohedral tilings [1] can be also verified directly from our classification. Actually, tilings containing only even valent vertices are necessarily monohedral f tilings in the sense of [1] as a result of our classification. But, it seems that the classification in [1] unfortunately lacks the tiling I 16n (n 3) in ....

....not depending on the results of [10] We remark that Azevedo Breda s classification of a special type of monohedral tilings [1] can be also verified directly from our classification. Actually, tilings containing only even valent vertices are necessarily monohedral f tilings in the sense of [1], as a result of our classification. But, it seems that the classification in [1] unfortunately lacks the tiling I 16n (n 3) in our notation. Now we explain the contents of this paper. In 1, after some preliminaries on notations and terminologies, we state our main result (Theorem 1, Table) ....

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A. M. R. Azevedo Breda, A class of tilings of S , Geom. Dedicata 44 (1992), 241--253.

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