Geodesic
Tilings of the sphere with right triangles. II: The \((1,3,2)\), \((0,2,n)\) subfamily
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 shows that no right triangles in a certain subfamily can tile the sphere, although multilayered tilings are possible.
DOI : 10.37236/1075
Classification : 05B45
Mots-clés : spherical triangles 
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     author = {Robert J. MacG. Dawson and Blair Doyle},
     title = {Tilings of the sphere with right triangles. {II:} {The} \((1,3,2)\), \((0,2,n)\) subfamily},
     journal = {The electronic journal of combinatorics},
     year = {2006},
     volume = {13},
     doi = {10.37236/1075},
     zbl = {1096.05016},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1075/}
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Robert J. MacG. Dawson; Blair Doyle. Tilings of the sphere with right triangles. II: The \((1,3,2)\), \((0,2,n)\) subfamily. The electronic journal of combinatorics, Tome 13 (2006). doi: 10.37236/1075

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