A Green function for the equilateral triangle

Using the image method, a diffusional Green function has been derived analytically for a triangle, when its three sides, all of equal length, have zero intensity. Because many image sites are involved, computational assistance is employed both to construct the Green function and to use it in solving practical problems. An alternative procedure based on eigenfunctions is also summarized.Received: November 18, 2003; revised: April 6, 2004