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from manimlib.imports import *
class Sphere(ThreeDScene):
def construct(self):
axes = ThreeDAxes() # creates a 3D Axis
sphere = ParametricSurface(
lambda u, v: np.array([
np.sin(u)*np.cos(v),
np.sin(u)*np.sin(v),
np.cos(u)
]),u_min=0,u_max=PI,v_min=0,v_max=2*PI,checkerboard_colors=[RED_D, RED_E],
resolution=(15, 32)).scale(2)
#self.set_camera_orientation(phi=0 * DEGREES,theta=270*DEGREES)
text3d = TextMobject(r"$f(x,y) \rightarrow Point(x,y,z)$")
text3d1 = TextMobject(r"$f(x,y) \rightarrow Point(x,y, 1 - x^2 - y^2)$")
self.add_fixed_in_frame_mobjects(text3d)
text3d.scale(0.7)
text3d1.scale(0.7)
text3d.to_corner(UL)
text3d1.to_corner(UL)
text3d.set_color_by_gradient(RED, ORANGE, YELLOW, GREEN, BLUE, PURPLE)
text3d1.set_color_by_gradient(RED, ORANGE, YELLOW, GREEN, BLUE, PURPLE)
self.play(Write(text3d))
self.wait(1)
self.play(Transform(text3d,text3d1))
self.add_fixed_in_frame_mobjects(text3d1)
self.play(FadeOut(text3d))
self.set_camera_orientation(phi=75 * DEGREES)
self.begin_ambient_camera_rotation(rate=0.3)
self.add(axes)
self.play(Write(sphere))
self.wait(5)
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