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COMBINATORICS
2007

Tilings of the sphere with right triangles III: the asymptotically obtuse families

9 years 2 months ago
Tilings of the sphere with right triangles III: the asymptotically obtuse families
Sommerville and Davies classified the spherical triangles that can tile the sphere in an edge-to-edge fashion. However, if the edge-to-edge restriction is relaxed, there are other such triangles; here, we continue the classification of right triangles with this property begun in our earlier papers. We consider six families of triangles classified as “asymptotically obtuse”, and show that they contain two non-edge-toedge tiles, one (with angles of 90◦, 105◦ and 45◦) believed to be previously unknown.
Robert J. MacG. Dawson, Blair Doyle
Added 12 Dec 2010
Updated 12 Dec 2010
Type Journal
Year 2007
Where COMBINATORICS
Authors Robert J. MacG. Dawson, Blair Doyle
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