Maybe this will help you a little bit: I don't usually try to analyze paintings, but
this one struck me with a particular meaning. This one is called, "Memoria in eternum," and was painted as his wife lay dying. The rectangles in his paintings represent to me the human consciousness or presence, therefore, the geometrical shapes as in the logical. These are placed on top of the abstract forms representing nature. Now, in this case it appears to be underground.
After Hofmann's wife died and he remarried, this began, in my opinion, his most productive period with this style predominating.