/usr/include/polymake/tropical/ is in libpolymake-dev-common 3.2r2-3.
This file is owned by root:root, with mode 0o755.
..
/usr/include/polymake/tropical/arithmetic.h
/usr/include/polymake/tropical/canonicalize.h
/usr/include/polymake/tropical/cartesian_product.h
/usr/include/polymake/tropical/codim_one_with_locality.h
/usr/include/polymake/tropical/convex_hull_tools.h
/usr/include/polymake/tropical/covectors.h
/usr/include/polymake/tropical/cyclic_chains.h
/usr/include/polymake/tropical/divisor.h
/usr/include/polymake/tropical/double_description.h
/usr/include/polymake/tropical/dual_addition_version.h
/usr/include/polymake/tropical/homogeneous_convex_hull.h
/usr/include/polymake/tropical/lattice.h
/usr/include/polymake/tropical/linear_algebra_tools.h
/usr/include/polymake/tropical/lines_in_cubic_data.h
/usr/include/polymake/tropical/lines_in_cubic_helper.h
/usr/include/polymake/tropical/lines_in_cubic_reachable.h
/usr/include/polymake/tropical/localize.h
/usr/include/polymake/tropical/make_complex.h
/usr/include/polymake/tropical/minimal_interior.h
/usr/include/polymake/tropical/misc_tools.h
/usr/include/polymake/tropical/moduli_rational.h
/usr/include/polymake/tropical/morphism_composition.h
/usr/include/polymake/tropical/morphism_special.h
/usr/include/polymake/tropical/morphism_thomog.h
/usr/include/polymake/tropical/morphism_values.h
/usr/include/polymake/tropical/next/
/usr/include/polymake/tropical/next/covectors.h
/usr/include/polymake/tropical/polynomial_tools.h
/usr/include/polymake/tropical/pruefer.h
/usr/include/polymake/tropical/psi_classes.h
/usr/include/polymake/tropical/pullback.h
/usr/include/polymake/tropical/rational_function.h
/usr/include/polymake/tropical/refine.h
/usr/include/polymake/tropical/separated_data.h
/usr/include/polymake/tropical/skeleton.h
/usr/include/polymake/tropical/solver_def.h
/usr/include/polymake/tropical/specialcycles.h
/usr/include/polymake/tropical/star.h
/usr/include/polymake/tropical/thomog.h