Y. Ueno and Y. Agaoka, Tilings of the 2-dimensional sphere by congruent right triangles, Mem. Fac. Integrated Arts and Sci., Hiroshima Univ. Ser.IV, 22 (1996), 1--23. Home/Search Document Not in Database Summary Related Articles Check |
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Examples of Spherical Tilings By Congruent Quadrangles - Ueno, Agaoka Self-citation (Ueno Agaoka) (Correct)
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Y. Ueno and Y. Agaoka, Tilings of the 2-dimensional sphere by congruent right triangles, Mem. Fac. Integrated Arts and Sci., Hiroshima Univ. Ser.IV, 22 (1996), 1--23.
Classification of Tilings of the 2-Dimensional Sphere By.. - Ueno, Agaoka Self-citation (Ueno Agaoka) (Correct)
....continuously deformable, and the numbers of faces are multiples of 4, except one series of tilings. We also give a characterization of triangles that can tile the whole sphere monohedrally (Corollary 3) and give the list of tilings with a given number of faces (Corollary 2) In our previous paper [10], we gave a classification of tilings of the 2 dimensional sphere consisting 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 ....
....(Corollary 3) and give the list of tilings with a given number of faces (Corollary 2) In our previous paper [10] we gave a classification of tilings of the 2 dimensional sphere consisting 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 ....
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Y. Ueno and Y. Agaoka, Tilings of the 2-dimensional sphere by congruent right triangles, Mem. Fac. Integrated Arts and Sci., Hiroshima Univ. Ser.IV, 22 (1996), 1--23.
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