  We show that every 4-connected planar graph has a $B_3$-EPG representation,
i.e., every vertex is represented by a curve on the grid with at most three
bends, and two vertices are adjacent if and only if the corresponding curves
share an edge of the grid. Our construction is based on a modification of the
representation by touching thickened $L$-shapes proposed by Gon\c{c}alves et
al.
