"""
Built-in polytopes.
"""

# Local imports
from polytope import create_polytope


PHI = (1 + 5**0.5)/2

tetrahedron = create_polytope(
    [(1, 1, 1), (-1, -1, 1), (-1, 1, -1), (1, -1, -1)],
    [[0, 1, 2], [0, 2, 3], [0, 1, 3], [1, 2, 3]])

cube = create_polytope(
    [(1.0, 1.0, 1.0), (1.0, 1.0, -1.0), (1.0, -1.0, -1.0), (1.0, -1.0, 1.0), (-1.0, -1.0, 1.0), (-1.0, -1.0, -1.0), (-1.0, 1.0, -1.0),(-1.0, 1.0, 1.0)],
    [[0, 1, 2, 3], [0, 1, 6, 7], [0, 3, 4, 7], [4, 5, 6, 7], [4, 5, 2, 3], [1, 2, 5, 6]])

octahedron = create_polytope(
    [(0, 1, 0), (1, 0, 0), (0, 0, 1), (-1, 0, 0), (0, 0, -1), (0, -1, 0)],
    [[0, 1, 4], [0, 1, 2], [0, 2, 3], [0, 3, 4], [1, 4, 5], [1, 2, 5], [2, 3, 5], [3, 4, 5]])

dodecahedron = create_polytope(
    [(1, 1, 1), (1, 1, -1), (1, -1, 1), (-1, 1, 1), (-1, 1, -1), (-1, -1, 1), (1, -1, -1), (-1, -1, -1),
        (0, PHI, 1/PHI), (0, PHI, -1/PHI), (0, -PHI, 1/PHI), (0, -PHI, -1/PHI), (1/PHI, 0, PHI), (1/PHI, 0, -PHI),
        (-1/PHI, 0, PHI), (-1/PHI, 0, -PHI), (PHI, 1/PHI, 0), (PHI, -1/PHI, 0), (-PHI, 1/PHI, 0), (-PHI, -1/PHI, 0)],
    [[14, 12, 2, 10, 5], [12, 0, 16, 17, 2], [2, 17, 6, 11, 10], [5, 10, 11, 7, 19], [17, 16, 1, 13, 6], [6, 13, 15, 7, 11], 
        [14, 3, 18, 19, 5], [14, 12, 0, 8, 3], [3, 8, 9, 4, 18], [19, 18, 4, 15, 7], [8, 0, 16, 1, 9], [9, 1, 13, 15, 4]])

icosahedron = create_polytope(
    [(0, 1, PHI), (0, 1, -PHI), (0, -1, PHI), (0, -1, -PHI),
        (1, PHI, 0), (1, -PHI, 0), (-1, PHI, 0), (-1, -PHI, 0),
        (PHI, 0, 1), (PHI, 0, -1), (-PHI, 0, 1), (-PHI, 0, -1)],
    [[4, 0, 6], [4, 6, 1], [1, 11, 6], [6, 11, 10], [6, 10, 0],
        [3, 1, 11], [3, 11, 7], [3, 7, 5], [3, 5, 9], [3, 9, 1],
        [10, 11, 7], [1, 4, 9], [2, 8, 5], [5, 8, 9], [2, 5, 7],
        [0, 4, 8], [0, 2, 8], [0, 2, 10], [2, 7, 10], [4, 8, 9]])