References
F. Ardila, R. P. Stanley, Tilings, Math. Intelligencer 32 (2010), 32–43.
B. Grünbaum, G. C. Shephard, Tilings and Patterns, W. H. Freeman and Company, New York, 1987.
M. Laczkovich, Tilings of polygons with similar triangles, Combinatorica 10 (1990), 281–306.
M. Laczkovich, Tilings of triangles, Discrete Math. 140 (1995), 79–94.
M. Laczkovich, Tilings of convex polygons with congruent triangles, Discrete Comput. Geom. 48 (2012), 330–372.
S. K. Stein and S. Szabó, Algebra and Tiling, Homomorphisms in the Service of Geometry, No. 25 of Carus Math. Monographs, Math. Assoc. Amer., Washington, 1994.
Z. Su, C. Yin, X. Ma, Y. Li, Tilings of parallelograms with similar right triangles, Discrete Comput. Geom. 50 (2013), 469–473.
B. Szegedy, Tilings of the square with similar right triangles, Combinatorica 21 (2001), 139–144.
Acknowledgments
This work was supported by the Beijing Institute of Technology Research Fund Program for Young Scholars. 2010]05B45 52C20.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wang, D.G.L. Tilings of Parallelograms by Similar Isosceles Triangles. Math Intelligencer 38, 24–29 (2016). https://doi.org/10.1007/s00283-016-9629-2
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00283-016-9629-2