Conformal invariance of a model of percolation on random lattices

A new model of percolation on random lattices is introduced. It allows for simulations on geometries like the sphere for which there do not exist periodic lattices of arbitrary finess. Horizontal crossing probabilities πh are measured on rectangles of various aspect ratios r. These measurements agree with Cardyʹs prediction though there are small discrepancies for rectangles with large aspect ratio. Further crossing probabilities are measured on a cylinder. These probe the hypothesis of conformal invariance stated in Bull. Ams. 30 (1994) 1.