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from manimlib.imports import *
class fluxsphere(ThreeDScene):
def construct(self):
s = Sphere(checkerboard_colors=[BLUE_D,BLUE_D])
s.scale(2.3)
n = VGroup(
*[self.n(*self.func(u, v))
for u in np.arange(0, PI, 0.4)
for v in np.arange(0, TAU, 0.8)]
)
self.move_camera(0.8 * PI / 2, -0.45 * PI)
self.play(Write(s))
# self.play(Write(f))
self.play(ShowCreation(n), run_time=4)
# self.add(n)
self.begin_ambient_camera_rotation(rate=0.1)
self.wait(5)
def func(self, u, v):
return [
np.cos(v) * np.sin(u),
np.sin(v) * np.sin(u),
np.cos(u)
]
def vect(self, x, y, z):
return np.array([
x, y, z
])
def n(self, x, y, z):
vect = np.array([
x,
y,
z
])
mag = math.sqrt(vect[0] ** 2 + vect[1] ** 2 + vect[2] ** 2)
v = Vector(
(1.5/mag) * vect,
color=RED_B,
stroke_width=4).shift(2*x * RIGHT + 2*y * UP + 2*z * OUT)
return v
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