1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
|
from manimlib.imports import *
def field_func(coordinate):
x,y = coordinate[:2]
return np.array([
np.cos(x),
np.cos(y),
0
])
class Potential(ThreeDScene):
def construct(self):
axes = ThreeDAxes()
self.add(axes)
self.set_camera_orientation(phi=0*DEGREES,theta=0*DEGREES,distance=40)
vec_field = VectorField(field_func, x_min =-3, x_max = 3, y_min =-3, y_max =3)
surf = ParametricSurface(lambda u,v: np.array([u,v,
np.sin(u) + np.sin(v)]),
u_min = -3, u_max = 3, v_min = -3, v_max = 3, stroke_color = PURPLE_E, checkerboard_colors = [PURPLE_E, PURPLE_E]).fade(0.5)
#text
vec = TexMobject(r"\vec F = \cos x \hat i + \cos y \hat j ").set_color(YELLOW_C).shift(3.8*UP+3.6*RIGHT).scale(0.7)
func = TexMobject(r"\textit{has a potential function }", r"f(x,y) = \sin x + \sin y").scale(0.7).next_to(vec, DOWN, buff = 0.2)
func[1].set_color(PURPLE_E)
self.play(ShowCreation(vec_field))
self.add_fixed_in_frame_mobjects(vec)
self.wait()
self.play(FadeIn(surf))
self.begin_ambient_camera_rotation()
self.move_camera(phi=45*DEGREES,theta=60*DEGREES)
self.add_fixed_in_frame_mobjects(func)
self.wait(2)
|
