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E. B. Vinberg (ed.), Geometry II (Spaces of Constant Curvature), Encyclopaedia of Math. Sci. 29, Springer-Verlag, Berlin, Heidelberg, 1993.

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

....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 . 4n 4 12n 6 2# ....

.... 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# [4n] 2n 1 # # # # # # # 3# # [2] # # 3# # [4] 4] 3) ....

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E. B. Vinberg (ed.), Geometry II (Spaces of Constant Curvature), Encyclopaedia of Math. Sci. 29, Springer-Verlag, Berlin, Heidelberg, 1993.


Examples of Spherical Tilings By Congruent Quadrangles - Ueno, Agaoka   (Correct)

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E. B. Vinberg (ed.), Geometry II (Spaces of Constant Curvature), Encyclopaedia of Math. Sci. 29, Springer-Verlag, Berlin, Heidelberg, 1993.

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