Hexahedron Class Documentation

Overview

References

• Wikipedia

Class Documentation

Bases: Polyhedron

Hexahedron Class

Regular unit cube.

calc_angle_dihedral(a) staticmethod

Face-edge-face angle, i.e., "dihedral angle" (approx. 90.0000)

calc_angle_solid_vertex() staticmethod

Solid angle at a vertex subtended by a face (approx. 1.57080 steradians)

calc_angle_subtended(a) staticmethod

Vertex-Center-Vertex angle calc_face_angle_face_edge_face The angle between lines from the hexaahedron center to any two vertices. It is also the angle between Plateau borders at a vertex. In chemistry it is called the tetrahedral bond angle. This angle (in radians) is also the length of the circular arc on the unit sphere resulting from centrally projecting one edge of the hexaahedron to the sphere.

(approx. 70.529°)

calc_area(a) staticmethod

Calculate Area Static Method

Formula to calculate the area of a Hexahedron

Parameters:

Name	Type	Description	Default
edge_length	float | int	The radius of the Hexahedron.	required

Returns:

Name	Type	Description
area	float	The area of the Hexahedron.

calc_face_angles() staticmethod

angles between faces (in radians)

calc_radius_circumsphere(a) staticmethod

radius of circumscribed sphere

calc_radius_insphere(a) staticmethod

radius of inscribed sphere

calc_radius_midsphere(a) staticmethod

radius of sphere tangent to edges

calc_volume(a) staticmethod

Calculate Volume Static Method

Formula to calculate the volume of a Hexahedron

Parameters:

Name	Type	Description	Default
a	float | int	The edge length of the Hexahedron.	required

Returns:

Name	Type	Description
area	float	The area of the Hexahedron.

get_unit_faces() staticmethod

Faces Static Method

Returns:

Name	Type	Description
faces	list	The return value. True for success, False otherwise.

vertices() staticmethod

Vertices Static Method

Vertex coordinates: (±1, ±1, ±1)

Returns:

Name	Type	Description
vertices	list	The vertex coordinates of the Hexahedron.