Universal finite-size scaling functions for critical systems with tilted boundary conditions

We calculate finite-size scaling functions (FSSF's) of Binder parameter g a nd magnetization distribution function p(m) for the Ising model on L-1 X L- 2 square lattices with periodic boundary conditions in the horizontal L-1 d irection and tilted boundary conditions in the vertical L-2 direction such that the ith site in the first row is connected with the mod(i + cL(1),L-1) th site in the L-2 TOW Of the lattice, where 1 less than or equal to i less than or equal to L-1. For fixed sets of (a,c) with a=L-1/L-2 the FSSF's of g and p(m) are universal and in such cases al(c(2)a(2)+1) is an invariant. For percolation on lattices with fixed a, the FSSF of the existence probab ility (also called spanning probability) is not affected by c. [S1063-651X( 99)13802-9].