# Three Tilings of the Sphere with Right Triangles

Three Tilings of the Sphere with Right Triangles

This Demonstration shows three different tilings of a sphere with right triangles that do not simply fit edge to edge. The triangles used have dihedral angles of , , (requiring 16 tiles); , , (10 tiles); and , , (72 tiles).

60°

90

°

75°

60°

90°

40°

60°

90°

75°