/usr/include/boost/polygon/ is in libboost1.46-dev 1.46.1-7ubuntu3.
This file is owned by root:root, with mode 0o755.
..
/usr/include/boost/polygon/detail/
/usr/include/boost/polygon/detail/boolean_op.hpp
/usr/include/boost/polygon/detail/boolean_op_45.hpp
/usr/include/boost/polygon/detail/iterator_compact_to_points.hpp
/usr/include/boost/polygon/detail/iterator_geometry_to_set.hpp
/usr/include/boost/polygon/detail/iterator_points_to_compact.hpp
/usr/include/boost/polygon/detail/max_cover.hpp
/usr/include/boost/polygon/detail/minkowski.hpp
/usr/include/boost/polygon/detail/polygon_45_formation.hpp
/usr/include/boost/polygon/detail/polygon_45_set_view.hpp
/usr/include/boost/polygon/detail/polygon_45_touch.hpp
/usr/include/boost/polygon/detail/polygon_90_set_view.hpp
/usr/include/boost/polygon/detail/polygon_90_touch.hpp
/usr/include/boost/polygon/detail/polygon_arbitrary_formation.hpp
/usr/include/boost/polygon/detail/polygon_formation.hpp
/usr/include/boost/polygon/detail/polygon_set_view.hpp
/usr/include/boost/polygon/detail/polygon_sort_adaptor.hpp
/usr/include/boost/polygon/detail/property_merge.hpp
/usr/include/boost/polygon/detail/property_merge_45.hpp
/usr/include/boost/polygon/detail/rectangle_formation.hpp
/usr/include/boost/polygon/detail/scan_arbitrary.hpp
/usr/include/boost/polygon/detail/transform_detail.hpp
/usr/include/boost/polygon/gmp_override.hpp
/usr/include/boost/polygon/gtl.hpp
/usr/include/boost/polygon/interval_concept.hpp
/usr/include/boost/polygon/interval_data.hpp
/usr/include/boost/polygon/interval_traits.hpp
/usr/include/boost/polygon/isotropy.hpp
/usr/include/boost/polygon/point_3d_concept.hpp
/usr/include/boost/polygon/point_3d_data.hpp
/usr/include/boost/polygon/point_3d_traits.hpp
/usr/include/boost/polygon/point_concept.hpp
/usr/include/boost/polygon/point_data.hpp
/usr/include/boost/polygon/point_traits.hpp
/usr/include/boost/polygon/polygon.hpp
/usr/include/boost/polygon/polygon_45_data.hpp
/usr/include/boost/polygon/polygon_45_set_concept.hpp
/usr/include/boost/polygon/polygon_45_set_data.hpp
/usr/include/boost/polygon/polygon_45_set_traits.hpp
/usr/include/boost/polygon/polygon_45_with_holes_data.hpp
/usr/include/boost/polygon/polygon_90_data.hpp
/usr/include/boost/polygon/polygon_90_set_concept.hpp
/usr/include/boost/polygon/polygon_90_set_data.hpp
/usr/include/boost/polygon/polygon_90_set_traits.hpp
/usr/include/boost/polygon/polygon_90_with_holes_data.hpp
/usr/include/boost/polygon/polygon_data.hpp
/usr/include/boost/polygon/polygon_set_concept.hpp
/usr/include/boost/polygon/polygon_set_data.hpp
/usr/include/boost/polygon/polygon_set_traits.hpp
/usr/include/boost/polygon/polygon_traits.hpp
/usr/include/boost/polygon/polygon_with_holes_data.hpp
/usr/include/boost/polygon/rectangle_concept.hpp
/usr/include/boost/polygon/rectangle_data.hpp
/usr/include/boost/polygon/rectangle_traits.hpp
/usr/include/boost/polygon/transform.hpp