（ 清华大学土木系，北京 100084； ）
XU Jia*， ZHONG Hongzhi
（ Department of Civil Engineering, Tsinghua University, Beijing 100084； ）
Interpolation and numerical integration based on the points on a triangle mapped from a sphere are discussed in this paper. Analogous to one-dimensional Chebyshev points, this set of points is generated through mapping the spherical triangle in the first octant of a unit sphere to an arbitrary straight-edge plane triangle. On the octant, the boundary points are equally spaced and the interior points are the intersections of curves of equiareal coordinate. The Lebesgue constant is computed and the numerical integration accuracy is evaluated. Results indicate that further improvement of the points is needed to enhance its efficiency and accuracy.