Index

A

a() (coxeter.shapes.Ellipse property) (coxeter.shapes.Ellipsoid property) area() (coxeter.shapes.Circle property) (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.ConvexSpheropolygon property) (coxeter.shapes.Ellipse property) (coxeter.shapes.Polygon property) (coxeter.shapes.Shape2D property)

asphericity() (coxeter.shapes.ConvexPolyhedron property)

B

b() (coxeter.shapes.Ellipse property) (coxeter.shapes.Ellipsoid property) bounding_circle() (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.Polygon property)

bounding_sphere() (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.Polyhedron property)

C

c() (coxeter.shapes.Ellipsoid property) center() (coxeter.shapes.Circle property) (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.ConvexSpheropolygon property) (coxeter.shapes.ConvexSpheropolyhedron property) (coxeter.shapes.Ellipse property) (coxeter.shapes.Ellipsoid property) (coxeter.shapes.Polygon property) (coxeter.shapes.Polyhedron property) (coxeter.shapes.Shape property) (coxeter.shapes.Shape2D property) (coxeter.shapes.Shape3D property) (coxeter.shapes.Sphere property) centroid() (coxeter.shapes.Circle property) (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.ConvexSpheropolygon property) (coxeter.shapes.ConvexSpheropolyhedron property) (coxeter.shapes.Ellipse property) (coxeter.shapes.Ellipsoid property) (coxeter.shapes.Polygon property) (coxeter.shapes.Polyhedron property) (coxeter.shapes.Shape property) (coxeter.shapes.Shape2D property) (coxeter.shapes.Shape3D property) (coxeter.shapes.Sphere property) Circle (class in coxeter.shapes) circumcircle() (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.Polygon property) circumcircle_radius() (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.Polygon property)

circumference() (coxeter.shapes.Circle property) (coxeter.shapes.Ellipse property) circumsphere() (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.Polyhedron property) circumsphere_from_center() (coxeter.shapes.ConvexPolyhedron property) circumsphere_radius() (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.Polyhedron property) compute_form_factor_amplitude() (coxeter.shapes.Circle method) (coxeter.shapes.ConvexPolygon method) (coxeter.shapes.ConvexPolyhedron method) (coxeter.shapes.ConvexSpheropolygon method) (coxeter.shapes.ConvexSpheropolyhedron method) (coxeter.shapes.Ellipse method) (coxeter.shapes.Ellipsoid method) (coxeter.shapes.Polygon method) (coxeter.shapes.Polyhedron method) (coxeter.shapes.Shape method) (coxeter.shapes.Shape2D method) (coxeter.shapes.Shape3D method) (coxeter.shapes.Sphere method) ConvexPolygon (class in coxeter.shapes) ConvexPolyhedron (class in coxeter.shapes) ConvexSpheropolygon (class in coxeter.shapes) ConvexSpheropolyhedron (class in coxeter.shapes) coxeter module coxeter.families module coxeter.shape_getters module coxeter.shapes module

D

diagonalize_inertia() (coxeter.shapes.ConvexPolyhedron method) (coxeter.shapes.Polyhedron method) distance_to_surface() (coxeter.shapes.Circle method) (coxeter.shapes.ConvexPolygon method) (coxeter.shapes.ConvexPolyhedron method) (coxeter.shapes.ConvexSpheropolygon method) (coxeter.shapes.ConvexSpheropolyhedron method) (coxeter.shapes.Ellipse method) (coxeter.shapes.Ellipsoid method) (coxeter.shapes.Polygon method) (coxeter.shapes.Polyhedron method) (coxeter.shapes.Shape method) (coxeter.shapes.Shape2D method) (coxeter.shapes.Shape3D method) (coxeter.shapes.Sphere method)

DOI_SHAPE_REPOSITORIES (in module coxeter.families)

E

eccentricity() (coxeter.shapes.Circle property) (coxeter.shapes.Ellipse property)

Ellipse (class in coxeter.shapes) Ellipsoid (class in coxeter.shapes)

F

faces() (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.Polyhedron property) Family323Plus (class in coxeter.families) Family423 (class in coxeter.families) Family523 (class in coxeter.families) from_gsd_type_shapes() (in module coxeter) (in module coxeter.shape_getters)

from_json_file() (coxeter.families.PlatonicFamily class method) (coxeter.families.TabulatedGSDShapeFamily class method) (coxeter.families.TabulatedShapeFamily class method) from_mapping() (coxeter.families.PlatonicFamily class method) (coxeter.families.TabulatedGSDShapeFamily class method) (coxeter.families.TabulatedShapeFamily class method)

G

get_dihedral() (coxeter.shapes.ConvexPolyhedron method) (coxeter.shapes.Polyhedron method) get_face_area() (coxeter.shapes.ConvexPolyhedron method) (coxeter.shapes.Polyhedron method) get_plane_types() (coxeter.families.Family323Plus class method) (coxeter.families.Family423 class method) (coxeter.families.Family523 class method) (coxeter.families.TruncatedTetrahedronFamily class method) get_planes() (coxeter.families.Family323Plus class method) (coxeter.families.Family423 class method) (coxeter.families.Family523 class method) (coxeter.families.TruncatedTetrahedronFamily class method) get_shape() (coxeter.families.Family323Plus class method) (coxeter.families.Family423 class method) (coxeter.families.Family523 class method) (coxeter.families.PlatonicFamily class method) (coxeter.families.RegularNGonFamily class method) (coxeter.families.ShapeFamily class method) (coxeter.families.TabulatedGSDShapeFamily class method) (coxeter.families.TabulatedShapeFamily class method) (coxeter.families.TruncatedTetrahedronFamily class method)

gsd_shape_spec() (coxeter.shapes.Circle property) (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.ConvexSpheropolygon property) (coxeter.shapes.ConvexSpheropolyhedron property) (coxeter.shapes.Ellipse property) (coxeter.shapes.Ellipsoid property) (coxeter.shapes.Polygon property) (coxeter.shapes.Polyhedron property) (coxeter.shapes.Shape property) (coxeter.shapes.Shape2D property) (coxeter.shapes.Shape3D property) (coxeter.shapes.Sphere property)

I

incircle() (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.Polygon property) incircle_from_center() (coxeter.shapes.ConvexPolygon property) incircle_radius() (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.Polygon property) inertia_tensor() (coxeter.shapes.Circle property) (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.ConvexSpheropolygon property) (coxeter.shapes.ConvexSpheropolyhedron method) (coxeter.shapes.Ellipse property) (coxeter.shapes.Ellipsoid property) (coxeter.shapes.Polygon property) (coxeter.shapes.Polyhedron property) (coxeter.shapes.Shape method) (coxeter.shapes.Shape2D property) (coxeter.shapes.Shape3D method) (coxeter.shapes.Sphere property) insphere() (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.Polyhedron property) insphere_from_center() (coxeter.shapes.ConvexPolyhedron property) insphere_radius() (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.Polyhedron property) iq() (coxeter.shapes.Circle property) (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.ConvexSpheropolygon property) (coxeter.shapes.ConvexSpheropolyhedron property) (coxeter.shapes.Ellipse property) (coxeter.shapes.Ellipsoid property) (coxeter.shapes.Polygon property) (coxeter.shapes.Polyhedron property) (coxeter.shapes.Shape2D property) (coxeter.shapes.Shape3D property) (coxeter.shapes.Sphere property)

is_inside() (coxeter.shapes.Circle method) (coxeter.shapes.ConvexPolygon method) (coxeter.shapes.ConvexPolyhedron method) (coxeter.shapes.ConvexSpheropolygon method) (coxeter.shapes.ConvexSpheropolyhedron method) (coxeter.shapes.Ellipse method) (coxeter.shapes.Ellipsoid method) (coxeter.shapes.Polygon method) (coxeter.shapes.Polyhedron method) (coxeter.shapes.Shape method) (coxeter.shapes.Shape2D method) (coxeter.shapes.Shape3D method) (coxeter.shapes.Sphere method)

M

make_vertices() (coxeter.families.Family323Plus class method) (coxeter.families.Family423 class method) (coxeter.families.Family523 class method) (coxeter.families.RegularNGonFamily class method) (coxeter.families.TruncatedTetrahedronFamily class method) maximal_bounded_circle() (coxeter.shapes.Circle property) (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.ConvexSpheropolygon property) (coxeter.shapes.Ellipse property) (coxeter.shapes.Polygon property) (coxeter.shapes.Shape2D property) maximal_bounded_circle_radius() (coxeter.shapes.Circle property) (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.ConvexSpheropolygon property) (coxeter.shapes.Ellipse property) (coxeter.shapes.Polygon property) (coxeter.shapes.Shape2D property) maximal_bounded_sphere() (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.ConvexSpheropolyhedron property) (coxeter.shapes.Ellipsoid property) (coxeter.shapes.Polyhedron property) (coxeter.shapes.Shape3D property) (coxeter.shapes.Sphere property) maximal_bounded_sphere_radius() (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.ConvexSpheropolyhedron property) (coxeter.shapes.Ellipsoid property) (coxeter.shapes.Polyhedron property) (coxeter.shapes.Shape3D property) (coxeter.shapes.Sphere property) maximal_bounding_circle() (coxeter.shapes.Circle property) maximal_centered_bounded_circle() (coxeter.shapes.Circle property) (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.ConvexSpheropolygon property) (coxeter.shapes.Ellipse property) (coxeter.shapes.Polygon property) (coxeter.shapes.Shape2D property) maximal_centered_bounded_circle_radius() (coxeter.shapes.Circle property) (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.ConvexSpheropolygon property) (coxeter.shapes.Ellipse property) (coxeter.shapes.Polygon property) (coxeter.shapes.Shape2D property) maximal_centered_bounded_sphere() (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.ConvexSpheropolyhedron property) (coxeter.shapes.Ellipsoid property) (coxeter.shapes.Polyhedron property) (coxeter.shapes.Shape3D property) (coxeter.shapes.Sphere property) maximal_centered_bounded_sphere_radius() (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.ConvexSpheropolyhedron property) (coxeter.shapes.Ellipsoid property) (coxeter.shapes.Polyhedron property) (coxeter.shapes.Shape3D property) (coxeter.shapes.Sphere property) mean_curvature() (coxeter.shapes.ConvexPolyhedron property)

merge_faces() (coxeter.shapes.ConvexPolyhedron method) (coxeter.shapes.Polyhedron method) minimal_bounding_circle() (coxeter.shapes.Circle property) (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.ConvexSpheropolygon property) (coxeter.shapes.Ellipse property) (coxeter.shapes.Polygon property) (coxeter.shapes.Shape2D property) minimal_bounding_circle_radius() (coxeter.shapes.Circle property) (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.ConvexSpheropolygon property) (coxeter.shapes.Ellipse property) (coxeter.shapes.Polygon property) (coxeter.shapes.Shape2D property) minimal_bounding_sphere() (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.ConvexSpheropolyhedron property) (coxeter.shapes.Ellipsoid property) (coxeter.shapes.Polyhedron property) (coxeter.shapes.Shape3D property) (coxeter.shapes.Sphere property) minimal_bounding_sphere_radius() (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.ConvexSpheropolyhedron property) (coxeter.shapes.Ellipsoid property) (coxeter.shapes.Polyhedron property) (coxeter.shapes.Shape3D property) (coxeter.shapes.Sphere property) minimal_centered_bounding_circle() (coxeter.shapes.Circle property) (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.ConvexSpheropolygon property) (coxeter.shapes.Ellipse property) (coxeter.shapes.Polygon property) (coxeter.shapes.Shape2D property) minimal_centered_bounding_circle_radius() (coxeter.shapes.Circle property) (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.ConvexSpheropolygon property) (coxeter.shapes.Ellipse property) (coxeter.shapes.Polygon property) (coxeter.shapes.Shape2D property) minimal_centered_bounding_sphere() (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.ConvexSpheropolyhedron property) (coxeter.shapes.Ellipsoid property) (coxeter.shapes.Polyhedron property) (coxeter.shapes.Shape3D property) (coxeter.shapes.Sphere property) minimal_centered_bounding_sphere_radius() (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.ConvexSpheropolyhedron property) (coxeter.shapes.Ellipsoid property) (coxeter.shapes.Polyhedron property) (coxeter.shapes.Shape3D property) (coxeter.shapes.Sphere property) module coxeter coxeter.families coxeter.shape_getters coxeter.shapes

N

neighbors() (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.Polyhedron property) normal() (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.ConvexSpheropolygon property) (coxeter.shapes.Polygon property) normals() (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.Polyhedron property)

num_faces() (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.Polyhedron property) num_vertices() (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.ConvexSpheropolygon property) (coxeter.shapes.Polygon property) (coxeter.shapes.Polyhedron property)

P

perimeter() (coxeter.shapes.Circle property) (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.ConvexSpheropolygon property) (coxeter.shapes.Ellipse property) (coxeter.shapes.Polygon property) (coxeter.shapes.Shape2D property) planar_moments_inertia() (coxeter.shapes.Circle property) (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.ConvexSpheropolygon property) (coxeter.shapes.Ellipse property) (coxeter.shapes.Polygon property) (coxeter.shapes.Shape2D property) PlatonicFamily (class in coxeter.families) plot() (coxeter.shapes.Circle method) (coxeter.shapes.ConvexPolygon method) (coxeter.shapes.ConvexPolyhedron method) (coxeter.shapes.ConvexSpheropolygon method) (coxeter.shapes.ConvexSpheropolyhedron method) (coxeter.shapes.Ellipse method) (coxeter.shapes.Ellipsoid method) (coxeter.shapes.Polygon method) (coxeter.shapes.Polyhedron method) (coxeter.shapes.Shape method) (coxeter.shapes.Shape2D method) (coxeter.shapes.Shape3D method) (coxeter.shapes.Sphere method)

polar_moment_inertia() (coxeter.shapes.Circle property) (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.ConvexSpheropolygon property) (coxeter.shapes.Ellipse property) (coxeter.shapes.Polygon property) (coxeter.shapes.Shape2D property) Polygon (class in coxeter.shapes) polygon() (coxeter.shapes.ConvexSpheropolygon property) Polyhedron (class in coxeter.shapes) polyhedron() (coxeter.shapes.ConvexSpheropolyhedron property)

R

radius() (coxeter.shapes.Circle property) (coxeter.shapes.ConvexSpheropolygon property) (coxeter.shapes.ConvexSpheropolyhedron property) (coxeter.shapes.Sphere property)

RegularNGonFamily (class in coxeter.families)

S

S (coxeter.families.Family523 attribute) s (coxeter.families.Family523 attribute) Shape (class in coxeter.shapes) Shape2D (class in coxeter.shapes) Shape3D (class in coxeter.shapes) ShapeFamily (class in coxeter.families) signed_area() (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.ConvexSpheropolygon property) (coxeter.shapes.Polygon property)

sort_faces() (coxeter.shapes.ConvexPolyhedron method) (coxeter.shapes.Polyhedron method) Sphere (class in coxeter.shapes) surface_area() (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.ConvexSpheropolyhedron property) (coxeter.shapes.Ellipsoid property) (coxeter.shapes.Polyhedron property) (coxeter.shapes.Shape3D property) (coxeter.shapes.Sphere property)

T

TabulatedGSDShapeFamily (class in coxeter.families) TabulatedShapeFamily (class in coxeter.families) tau() (coxeter.shapes.ConvexPolyhedron property) to_plato_scene() (coxeter.shapes.Circle method) (coxeter.shapes.ConvexPolygon method) (coxeter.shapes.ConvexPolyhedron method) (coxeter.shapes.ConvexSpheropolygon method) (coxeter.shapes.ConvexSpheropolyhedron method) (coxeter.shapes.Ellipse method) (coxeter.shapes.Ellipsoid method) (coxeter.shapes.Polygon method) (coxeter.shapes.Polyhedron method) (coxeter.shapes.Shape method) (coxeter.shapes.Shape2D method) (coxeter.shapes.Shape3D method) (coxeter.shapes.Sphere method)

TruncatedTetrahedronFamily (class in coxeter.families)

V

vertices() (coxeter.shapes.ConvexPolygon property) (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.ConvexSpheropolygon property) (coxeter.shapes.ConvexSpheropolyhedron property) (coxeter.shapes.Polygon property) (coxeter.shapes.Polyhedron property)

volume() (coxeter.shapes.ConvexPolyhedron property) (coxeter.shapes.ConvexSpheropolyhedron property) (coxeter.shapes.Ellipsoid property) (coxeter.shapes.Polyhedron property) (coxeter.shapes.Shape3D property) (coxeter.shapes.Sphere property)