Tetrahedron Class Documentation
Overview
References
Class Documentation
Bases: Polyhedron
Tetrahedron Class
Regular unit cube.
calc_angle_dihedral()
staticmethod
Face-edge-face angle, i.e., "dihedral angle" (approx. 70.5288°)
calc_angle_face_vertex_edge(a)
staticmethod
Face-vertex-edge angle (approx. 54.7356°)
calc_angle_solid_vertex()
staticmethod
Solid angle at a vertex subtended by a face (approx. 0.55129 steradians) (approx. 1809.8 square degrees)
calc_angle_subtended()
staticmethod
Vertex-Center-Vertex angle calc_face_angle_face_edge_face The angle between lines from the tetrahedron 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 tetrahedron to the sphere.
(approx. 109.4712°)
calc_area(a)
staticmethod
Calculate Area Static Method
Formula to calculate the area of a Tetrahedron.
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
edge_length |
float | int
|
The radius of the Tetrahedron. |
required |
Returns:
| Name | Type | Description |
|---|---|---|
area |
float
|
The area of the Tetrahedron. |
calc_distance_centroid_vertex(a)
staticmethod
Centroid to vertex distance
calc_distance_edge_edge(a)
staticmethod
Edge to opposite edge distance
calc_distance_exsphere_vertex(a)
staticmethod
Distance to exsphere center from the opposite vertex
calc_pyramid_height(a)
staticmethod
Height of pyramid
calc_radius_circumsphere(a)
staticmethod
Radius of circumsphere
0.61237
calc_radius_exsphere(a)
staticmethod
Radius of exspheres
calc_radius_insphere(a)
staticmethod
Radius of insphere that is tangent to faces
0.20412
calc_radius_midsphere(a)
staticmethod
Radius of midsphere that is tangent to edges
0.35355
calc_volume(a)
staticmethod
Calculate Volume Static Method
Formula to calculate the volume of a Tetrahedron
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
a |
float | int
|
The edge length of the Tetrahedron. |
required |
Returns:
| Name | Type | Description |
|---|---|---|
area |
float
|
The area of the Tetrahedron. |
vertices()
staticmethod
Vertices Static Method
Vertex coordinates:
( 1, 1, 1) ( 1, -1, -1) (-1, 1, -1) (-1, -1, 1) or:
(-1, -1, -1) (-1, 1, 1) ( 1, -1, 1) ( 1, 1, -1)