Alberto Giacometti painted and sculpted in a highly recognizable style. Though many of his works, like his tall thinner figures, (walking men and women ) seem very playful childlike musings, Giacometti was making darker references to modern life being increasingly empty and devoid of meaning.
While he did work in several mediums, I don't think he ever worked in stone. I wonder if he would have been happier, and found more meaning, if he'd taken the opportunity to experiment stacking stones to make artistic installations.
His dry laid compositions would probably have 'running joints' and 'zipper joints' showing up everywhere.