# Is \$ mathrm {Cantor , set} times [0,1]\$ self-similar?

Consider the Cantor set $$times$$ l & # 39; interval $$[0,1]$$, that is to say that Cantor sets put "next to each other" to "cover" the place $$[0,1]time [0,1]$$ is this set similar, that is, the attractor of certain homotheties?