SymPy | Polyhedron.vertices() in Python

Polyhedron.vertices() : vertices() is a sympy Python library function that returns the vertices of the polyhedra.

Syntax : sympy.combinatorics.Polyhedrons.Polyhedron.vertices()

Return : vertices of the Polyhedron.

Code #1 : vertices() Example – tetrahedron

# Python code explaining
# SymPy.Polyhedron.vertices()

# importing SymPy libraries
from sympy.combinatorics import Permutation, Cycle
from sympy.combinatorics.polyhedron import tetrahedron, octahedron

# Using from
# sympy.combinatorics.polyhedron.Polyhedron.vertices()

# Creating Polyhedron
a = tetrahedron.copy()

print ("Polyhedron - vertices form : ", a.vertices)

a.rotate(0)
print ("\nPolyhedron - vertices form : ", a.vertices)

Output :

Polyhedron – vertices form : (0, 1, 2, 3)

Polyhedron – vertices form : (0, 2, 3, 1)

Code #2 : vertices() Example – octahedron

# Python code explaining
# SymPy.Polyhedron.vertices()

# importing SymPy libraries
from sympy.combinatorics import Permutation, Cycle
from sympy.combinatorics.polyhedron import tetrahedron, octahedron

# Using from
# sympy.combinatorics.polyhedron.Polyhedron.vertices()

# Creating Polyhedron
a = octahedron.copy()

print ("Polyhedron - vertices form : ", a.vertices)

a.rotate(0)
print ("\nPolyhedron - vertices form : ", a.vertices)

Output :

Polyhedron – vertices form : (0, 1, 2, 3, 4, 5)

Polyhedron – vertices form : (0, 2, 3, 4, 1, 5)