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We introduce a natural generalization of Maya diagrams -- the space ofinfinite Fibonacci configurations, which are specified functions on$\mathbb{Z}$ with values $1$ and $0$. Infinite Fibonacci configurations areparticularly interesting as soon as they parametrize Feigin-Stoyanovsky typebases in lattice vertex superalgebras $V_{\sqrt{N}\mathbb{Z}}$ and theirirreducible modules. We calculate the character of such configurations space bytwo different ways and obtain series of combinatorial identities. Theseidentities turn out to be Durfee rectangle identities with shifts in base andheight.

Durfee rectangle identities as character identities for infinite Fibonacci configurations