  We build a multifractal object and use it as a support to study percolation.
  We identify some differences between percolation in a multifractal and in a
regular lattice. We use many samples of finite size lattices and draw the
histogram of percolating lattices against site occupation probability.
Depending on a parameter characterizing the multifractal and the lattice size,
the histogram can have two peaks. The percolation threshold for the
multifractal is lower than for the square lattice.
  The percolation in the multifractal differs from the percolation in the
regular lattice in two points. The first is related with the coordination
number that changes along the multifractal. The second comes from the way the
weight of each cell in the multifractal affects the percolation cluster. We
compute the fractal dimension of the percolating cluster. Despite the
differences, the percolation in a multifractal support is in the universality
class of standard percolation.
