def to_vertices_and_faces(self, **kwargs):
"""Returns a list of vertices and faces"""
u = kwargs.get('u') or 10
if u < 3:
raise ValueError('The value for u should be u > 3.')
vertices = []
a = 2 * pi / u
for i in range(u):
x = self.circle.radius * cos(i * a)
y = self.circle.radius * sin(i * a)
z = self.height / 2
vertices.append([x, y, z])
vertices.append([x, y, -z])
# transform vertices to cylinder's plane
frame = Frame.from_plane(self.circle.plane)
M = matrix_from_frame(frame)
vertices = transform_points(vertices, M)
faces = []
for i in range(0, u * 2, 2):
faces.append([i, i + 1, (i + 3) % (u * 2), (i + 2) % (u * 2)])
faces.append([i for i in range(0, u * 2, 2)])
faces.append([i for i in range(1, u * 2, 2)])
faces[-1].reverse()
return vertices, faces
def to_vertices_and_faces(self, **kwargs):
if 'u' in kwargs:
u = kwargs['u']
else:
u = 10
vertices = []
a = 2 * pi / u
for i in range(u):
x = self.circle.radius * cos(i * a)
y = self.circle.radius * sin(i * a)
z = self.height / 2
vertices.append([x, y, z])
vertices.append([x, y, -z])
# transform vertices to cylinder's plane
frame = Frame.from_plane(self.circle.plane)
M = matrix_from_frame(frame)
vertices = transform_points(vertices, M)
faces = []
for i in range(0, u*2, 2):
faces.append([i, i+1, (i+3)%(u*2), (i+2)%(u*2)])
faces.append([i for i in range(0, u*2, 2)])
faces.append([i for i in range(1, u*2, 2)])
faces[-1].reverse()
return vertices, faces
def to_vertices_and_faces(self, **kwargs):
"""Returns a list of vertices and faces, called by `Mesh.from_shape()`."""
if 'u' in kwargs:
u = kwargs['u']
else:
u = 10
vertices = []
a = 2 * pi / u
for i in range(u):
x = self.circle.radius * cos(i * a)
y = self.circle.radius * sin(i * a)
vertices.append([x, y, 0])
vertices.append([0, 0, self.height])
# transform vertices to cylinder's plane
frame = Frame.from_plane(self.circle.plane)
M = matrix_from_frame(frame)
vertices = transform_points(vertices, M)
faces = []
last = len(vertices) - 1
for i in range(u):
faces.append([i, (i + 1) % u, last])
faces.append([i for i in range(u)])
faces[-1].reverse()
return vertices, faces
def to_vertices_and_faces(self, **kwargs):
"""Returns a list of vertices and faces"""
u = kwargs.get('u') or 10
v = kwargs.get('v') or 10
if u < 3:
raise ValueError('The value for u should be u > 3.')
if v < 3:
raise ValueError('The value for v should be v > 3.')
theta = pi * 2 / u
phi = pi * 2 / v
vertices = []
for i in range(u):
for j in range(v):
x = cos(i * theta) * (self.radius_axis +
self.radius_pipe * cos(j * phi))
y = sin(i * theta) * (self.radius_axis +
self.radius_pipe * cos(j * phi))
z = self.radius_pipe * sin(j * phi)
vertices.append([x, y, z])
# transform vertices to torus' plane
frame = Frame.from_plane(self.plane)
M = matrix_from_frame(frame)
vertices = transform_points(vertices, M)
faces = []
for i in range(u):
ii = (i + 1) % u
for j in range(v):
jj = (j + 1) % v
a = i * v + j
b = ii * v + j
c = ii * v + jj
d = i * v + jj
faces.append([a, b, c, d])
return vertices, faces
def to_vertices_and_faces(self, **kwargs):
"""Returns a list of vertices and faces, called by `Mesh.from_shape()`."""
if 'u' in kwargs:
u = kwargs['u']
else:
u = 10
if 'v' in kwargs:
v = kwargs['v']
else:
v = 10
theta = pi*2 / u
phi = pi*2 / v
vertices = []
for i in range(u):
for j in range(v):
x = cos(i * theta) * (self.radius_axis + self.radius_pipe * cos(j * phi))
y = sin(i * theta) * (self.radius_axis + self.radius_pipe * cos(j * phi))
z = self.radius_pipe * sin(j * phi)
vertices.append([x, y, z])
# transform vertices to torus' plane
frame = Frame.from_plane(self.plane)
M = matrix_from_frame(frame)
vertices = transform_points(vertices, M)
faces = []
for i in range(u):
ii = (i + 1) % u
for j in range(v):
jj = (j + 1) % v
a = i * v + j
b = ii * v + j
c = ii * v + jj
d = i * v + jj
faces.append([a, b, c, d])
return vertices, faces
def to_vertices_and_faces(self, **kwargs):
"""Returns a list of vertices and faces"""
u = kwargs.get('u') or 10
if u < 3:
raise ValueError('The value for u should be u > 3.')
vertices = []
a = 2 * pi / u
z = self.height / 2
for i in range(u):
x = self.circle.radius * cos(i * a)
y = self.circle.radius * sin(i * a)
vertices.append([x, y, z])
vertices.append([x, y, -z])
# add v in bottom and top's circle center
vertices.append([0, 0, z])
vertices.append([0, 0, -z])
# transform vertices to cylinder's plane
frame = Frame.from_plane(self.circle.plane)
M = matrix_from_frame(frame)
vertices = transform_points(vertices, M)
faces = []
# side faces
for i in range(0, u * 2, 2):
faces.append([i, i + 1, (i + 3) % (u * 2), (i + 2) % (u * 2)])
# top and bottom circle faces
for i in range(0, u * 2, 2):
top = [i, (i + 2) % (u * 2), len(vertices) - 2]
bottom = [i + 1, (i + 3) % (u * 2), len(vertices) - 1]
faces.append(top)
faces.append(bottom[::-1])
return vertices, faces