Three Edge-to-Edge Sphere Tilings with Right Triangles
This Demonstration shows edge-to-edge tilings of a sphere with right triangles with one of three choices of dihedral angles: , , ; , , ; and , , (for even ).
These are all the edge-to-edge tilings of a sphere with right triangles [1, pp. 1–8].
 R. J. MacG. Dawson and B. Doyle, "Tilings of the Sphere with Right Triangles I: The Asymptotically Right Families," The Electronic Journal of Combinatorics, 13, 2006 Research Paper #R48, www.combinatorics.org/ojs/index.php/eljc/article/view/v13i1r48.