“…Concerning dihedral folding tilings by kites and an equilateral or isosceles triangle, the classification was obtained recently, see [1], [2], [3], [4]. In this paper we initiate the classification of dihedral folding tilings of the sphere by kites and scalene triangles: we shall obtain all the dihedral f-tilings of the sphere by kites and scalene triangles in which the shorter side of the kite is equal to the longest side of the triangle.…”