vectorconfiguration:group_combinatorics_these_properties_capture_combinatorial_information_of_the_object._combinatorial_properties_only_depend_on_combinatorial_data_of_the_object_like_e.g._the_face_lattice._simplexity_lower_bound:common:property_types:basic_types:int_a_lower_bound_for_the_minimal_number_of_simplices_in_a_triangulation_max_boundary_simplices:common:property_types:basic_types:array_tells_the_full-dimensional_simplices_on_the_boundary_that_contain_no_points_except_for_the_vertices._max_interior_simplices:common:property_types:basic_types:array_tells_the_full-dimensional_simplices_that_contain_no_points_except_for_the_vertices._n_max_interior_simplices:common:property_types:basic_types:int_tells_the_number_of_max_interior_simplices_cocircuit_equations:common:property_types:algebraic_types:sparsematrix_tells_the_cocircuit_equations_that_hold_for_the_configuration_one_for_each_interior_ridge_splits:common:property_types:algebraic_types:matrix_the_splits_of_the_point_configuration_i.e._hyperplanes_cutting_the_configuration_in_two_parts_such_that_we_have_a_regular_subdivision._interior_ridge_simplices:common:property_types:basic_types:array_tells_the_number_of_codimension_1_simplices_that_are_not_on_the_boundary_graph:graph:objects:combinatorics:graph_graph_of_the_point_configuration._two_points_are_adjacent_if_they_are_neigbours_in_a_edge_of_the:polytope:objects:pointconfiguration:properties:geometry:convex_hull