Before revision:  We present a 2HAM system that strictly self-assembles the discrete Sierpinski's carpet with scale factor 1. Moreover, the 2HAM system that we give lends itself to being generalized and we describe how this system can be modified to obtain a 2HAM system that strictly self-assembles one of any fractal from an infinite set of fractals which we call 4-sided fractals.
After revision:  We present a 2HAM system that finitely self-assembles the discrete Sierpinski's carpet with scale factor 1. Moreover, the 2HAM system that we give lends itself to being generalized and we describe how this system can be modified to obtain a 2HAM system that strictly self-assembles one of any fractal from an infinite set of fractals which we call 4-sided fractals.