Geodesic
Tilings of the sphere with right triangles. I: The asymptotically right families
The electronic journal of combinatorics, Tome 13 (2006)
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Sommerville and Davies classified the spherical triangles that can tile the sphere in an edge-to-edge fashion. Relaxing this condition yields other triangles, which tile the sphere but have some tiles intersecting in partial edges. This paper determines which right spherical triangles within certain families can tile the sphere.
DOI : 10.37236/1074
Classification : 05B45
Mots-clés : spherical triangles 
@article{10_37236_1074,
     author = {Robert J. MacG. Dawson and Blair Doyle},
     title = {Tilings of the sphere with right triangles. {I:} {The} asymptotically right families},
     journal = {The electronic journal of combinatorics},
     year = {2006},
     volume = {13},
     doi = {10.37236/1074},
     zbl = {1096.05015},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1074/}
}
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Robert J. MacG. Dawson; Blair Doyle. Tilings of the sphere with right triangles. I: The asymptotically right families. The electronic journal of combinatorics, Tome 13 (2006). doi: 10.37236/1074

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