def star_pts(r=1, ir=None, points=5, center=(0, 0)):
'''Create points for a star. They are 2d - z is always zero
r: the outer radius
ir: the inner radius
'''
if not ir: ir = r / 5
pts = []
dt = pi * 2 / points
for i in range(points):
t = i * dt
ti = (i + .5) * dt
pts.append(angle_point(center, t, r))
pts.append(angle_point(center, ti, ir))
return map(zzero, pts)
def star_pts(r=1, ir=None, points=5, center = (0, 0)):
'''Create points for a star. They are 2d - z is always zero
r: the outer radius
ir: the inner radius
'''
if not ir: ir = r/5
pts = []
dt = pi * 2 / points
for i in range(points):
t = i * dt
ti = (i + .5) * dt
pts.append(angle_point(center, t, r))
pts.append(angle_point(center, ti, ir))
return map(zzero, pts)
def braid_line(center,
radius,
strands,
sides,
spacing=.4,
thickness=.2,
resolution=1):
cx, cy = center
# sides = 6
numpoints = strands * (sides * strands + 1) * resolution / 2 - 6
dtheta = 2 * pi / (sides * resolution * 12 / 5)
steps = (strands - 1) * 2
# dz = dtheta * pi
a = pi / steps
b = pi / 2
# 5 sides, 1
# 8 sides, 4
# 7 sides, 3
for i in range(0, int(numpoints)):
i /= resolution
r = sin(b * i) * thickness
x, y = angle_point(center, i * dtheta, radius + r)
#x = r
#y = i/3
z = cos(i * a) * spacing
yield x, y, z
def circlify(points, gap=None, circles=1):
zavg = sum(p[2] for p in points) / len(points)
# yavg = sum(p[1] for p in points) / len(points)
x, y, z = points[0]
ylast = points[-1][1]
w = (ylast - y) / circles
radius = w / 2 / pi
center = 0, 0
if gap is None:
gap = (ylast - y) / len(points)
for a, b, c in points:
down = (ylast - b) / (w + gap) * 2 * pi
r = radius + (c - zavg)
ny, nz = angle_point(center, down, r)
yield a, ny, nz
def circlify(points, gap = None, circles=1):
zavg = sum(p[2] for p in points) / len(points)
# yavg = sum(p[1] for p in points) / len(points)
x,y,z = points[0]
ylast = points[-1][1]
w = (ylast - y) / circles
radius = w / 2 / pi
center = 0, 0
if gap is None:
gap = (ylast - y) / len(points)
for a,b,c in points:
down = (ylast - b) / (w + gap) * 2 * pi
r = radius + (c - zavg)
ny, nz = angle_point(center, down, r)
yield a, ny, nz
def braid_line4(center, radius, strands, sides, spacing=.4, thickness=.2, resolution=1):
cx, cy = center
numpoints = strands * (sides * 4) * resolution
dtheta = 2 * pi / (sides * resolution * 3)
steps = (strands - 1) * 2
# dz = dtheta * pi
a = pi / steps
b = pi / 2
for i in range(0, numpoints - sides * strands):
i /= resolution
r = sin(b * i) * thickness
x, y = angle_point(center, i * dtheta, radius + r)
#x = r
#y = i/3
z = cos(i * a)
yield x, y, z
def braid_line(center, radius, strands, sides, spacing=.4, thickness=.2, resolution=1):
cx, cy = center
# sides = 6
numpoints = strands * (sides * strands + 1) * resolution / 2 - 6
dtheta = 2 * pi / (sides * resolution * 12/5)
steps = (strands - 1) * 2
# dz = dtheta * pi
a = pi / steps
b = pi / 2
# 5 sides, 1
# 8 sides, 4
# 7 sides, 3
for i in range(0, int(numpoints)):
i /= resolution
r = sin(b * i) * thickness
x, y = angle_point(center, i * dtheta, radius + r)
#x = r
#y = i/3
z = cos(i * a) * spacing
yield x, y, z
def braid_line4(center,
radius,
strands,
sides,
spacing=.4,
thickness=.2,
resolution=1):
cx, cy = center
numpoints = strands * (sides * 4) * resolution
dtheta = 2 * pi / (sides * resolution * 3)
steps = (strands - 1) * 2
# dz = dtheta * pi
a = pi / steps
b = pi / 2
for i in range(0, numpoints - sides * strands):
i /= resolution
r = sin(b * i) * thickness
x, y = angle_point(center, i * dtheta, radius + r)
#x = r
#y = i/3
z = cos(i * a)
yield x, y, z