Search for scaling dimensions for random surfaces with c = 1

We study numerically the fractal structure of the intrinsic geometry of random surfaces coupled to matter fields with c = 1. Using baby universe surgery it was possible to simulate randomly triangulated surfaces made of 260 000 triangles. We observe the first indication that the branching and Hausdorff dimensions saturate. We estimate dB ≈ 2.5 and get a lower bound dH > 3.0.