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It is known that a lattice path matroid polytope can be associated with twogiven noncrossing lattice paths on $\mathbb{Z}\times\mathbb{Z}$ with the sameend points. In this short note we give explicit formulae for the $f$-vector,toric $f$- and $g$-polynomials of a lattice path matroid polytope when twoboundary paths enclose a hook shape.

Toric $g$-polynomials of hook shape lattice Path Matroid Polytopes and product of simplices