, Tilings and Patterns, Freeman, New York, 1987. Home/Search Document Not in Database Summary Related Articles Check |
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Examples of Spherical Tilings By Congruent Quadrangles - Ueno, Agaoka (Correct)
....1) In this paper, we do not assume a transitive group action on the set of tiles, and treat the problem purely from the combinatorial standpoint. 2. Main results In this section, we first prepare some notations and terminologies. For the usual terminology concerning tilings, see the book [5]. By a quadrangle on the sphere, we mean a figure surrounded by four lines( parts of great circles) with angles #, #, #, #. In this paper, we assume that the angles satisfy the condition 0 #, #, #, # #, unless otherwise stated. We assume that the radius of the sphere is 1. We denote lengths ....
, Tilings and Patterns, Freeman, New York, 1987.
Classification of Tilings of the 2-Dimensional Sphere By.. - Ueno, Agaoka (Correct)
....a brief outline of the proof. The remaining scalene case is the most Table V E #, #, # type of vertices [number] F 4 4 6 # # # = 2, #, #, # 1 # # # [4] 3 3# [4] 6# [4] 3# [2] 2# 2# [2] # 4# [2] 6# [2] 3# [1] 2# 2# [3] # 4# [3] 6# [1] 3# [8], 8# [6] 4# [12] 6# [8] 8# [6] TF 48 26 72 # = 4# [8] 6# [8] 8# [2] 2# 4# [8] 3# [20] 10# [12] 5# [12] 6# [20] 3 , # = 4# [30] 6# [20] 10# [12] G 4n (n 2) 2n 2 6n G 4n 2 (2n 1)# [2] 4n 2 12n # = # = 4# [4n . ....
.... The remaining scalene case is the most Table V E #, #, # type of vertices [number] F 4 4 6 # # # = 2, #, #, # 1 # # # [4] 3 3# [4] 6# [4] 3# [2] 2# 2# [2] # 4# [2] 6# [2] 3# [1] 2# 2# [3] # 4# [3] 6# [1] 3# [8] 8# [6] 4# [12] 6# [8] 8# [6] TF 48 26 72 # = 4# [8] 6# [8] 8# [2] 2# 4# [8] 3# [20] 10# [12] 5# [12] 6# [20] 3 , # = 4# [30] 6# [20] 10# [12] G 4n (n 2) 2n 2 6n G 4n 2 (2n 1)# [2] 4n 2 12n # = # = 4# [4n . 4n 4 12n 6 2# 2# ....
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, Tilings and Patterns, Freeman, New York, 1987.
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