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from manimlib.imports import*
import math as m
class firstScene(ThreeDScene):
def construct(self):
axes = ThreeDAxes()
label_x = TextMobject("$x$").shift([5.5,-0.5,0]).fade(0.4) #---- x axis
label_y = TextMobject("$y$").shift([-0.5,5.5,0]).rotate(-4.5).fade(0.4) #---- y axis
#---- constraint g(x,y)
cylinder = ParametricSurface(
lambda u, v: np.array([
np.cos(TAU * u),
np.sin(TAU * u),
2 * (v)
]),checkerboard_colors=[YELLOW_C,YELLOW_D,YELLOW_E]).rotate(m.radians(-40),RIGHT).shift([0.5,0.5,0]).scale(0.8)
#---- constraint h(x,y)
plane = ParametricSurface(
lambda u, v: np.array([
u,
v,
u+v
]),checkerboard_colors=[TEAL_C,TEAL_D,TEAL_E]).shift([0,0,0]).rotate(m.radians(-40),RIGHT).scale(2).fade(0.3)
figure = VGroup(cylinder,plane).rotate(m.radians(-45),DOWN).scale(1.5)
self.set_camera_orientation(phi=65*DEGREES,theta=45*DEGREES)
self.add(axes)
self.add(label_x)
self.add(label_y)
self.wait(1)
self.play(Write(cylinder))
self.play(Write(plane))
self.wait(1)
self.begin_ambient_camera_rotation(rate=0.4)
self.wait(1)
self.wait(1)
self.play(FadeOut(label_x),FadeOut(label_y))
self.wait(1)
self.wait(1)
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