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from manimlib.imports import*
class Sp(ThreeDScene):
def construct(self):
axes=ThreeDAxes()
x=TextMobject("X")
y=TextMobject("Y")
z=TextMobject("Z")
x.rotate(PI/2, axis=RIGHT)
x.rotate(PI/4,axis=OUT)
x.shift(5.8*DOWN)
y.rotate(PI/2, axis=RIGHT)
y.rotate(PI/8,axis=OUT)
y.shift(5.8*RIGHT)
z.rotate(PI/2, axis=RIGHT)
z.rotate(PI/5,axis=OUT)
z.shift(3.2*OUT+0.4*LEFT)
axis_label=VGroup(x,y,z)
x1=TextMobject("$x_{1}$")
y1=TextMobject("$y_{1}$")
z1=TextMobject("$z_{1}$")
x1.rotate(PI/2, axis=RIGHT)
x1.rotate(PI/2, axis=OUT)
x1.shift(2*DOWN+0.3*OUT+0.3*LEFT)
y1.rotate(PI/2, axis=RIGHT)
y1.shift(2*RIGHT+0.3*OUT)
z1.rotate(PI/2, axis=RIGHT)
z1.rotate(PI/4, axis=OUT)
z1.shift(2*OUT+0.3*DOWN+0.2*LEFT)
d1=Dot(color=RED,radius=0.05)
d2=Dot(color=RED,radius=0.05)
d3=Dot(color=RED,radius=0.05)
d1.shift(2*DOWN)
d1.rotate(PI/2,axis=UP)
d2.rotate(PI/2, axis=RIGHT)
d2.shift(2*RIGHT)
d3.rotate(PI/2, axis=RIGHT)
d3.rotate(PI/4, axis=OUT)
d3.shift(2*OUT)
l1=DashedLine(color=RED)
l1.scale(5)
l1.shift(2*DOWN+5*RIGHT)
l2=DashedLine(color=RED)
l2.scale(5)
l2.rotate(PI/2, axis=IN)
l2.shift(2*RIGHT+5*DOWN)
l3=DashedLine(color=RED)
l3.scale(5)
l3.rotate(PI/4,axis=IN)
l3.shift(2*OUT+4*RIGHT+4*DOWN)
point=Sphere(radius=0.02, checkerboard_colors=[RED,RED])
proj=DashedLine(color=RED_C)
proj.scale(1.414)
proj.rotate(PI/4,axis=IN)
proj.shift(1*RIGHT+1*DOWN)
projl=DashedLine()
projl.rotate(PI/2, axis=UP)
projl.shift(1*OUT+2*RIGHT+2*DOWN)
p=TextMobject("$P(x,y,z)$")
p.scale(0.6)
p.rotate(PI/2, axis=RIGHT)
p.rotate(PI/9, axis=OUT)
p.shift(2.65*RIGHT+2.5*DOWN+2.3*OUT)
rho=TextMobject(r"$\rho$",tex_to_color_map={r"$\rho$": YELLOW})
rho.rotate(PI/2, axis=RIGHT)
rho.shift(1.45*RIGHT+1.9*DOWN+1.94*OUT)
carrow=ArcBetweenPoints(start=1*DOWN, end=0.5*RIGHT+0.5*DOWN)
carrow2=ArcBetweenPoints(start=0.5*RIGHT+0.5*DOWN+0.5*OUT, end=0.4*OUT)
# carrow2.rotate(PI/2, axis=LEFT)
# carrow2.rotate(PI/2, axis=UP)
theta=TextMobject(r"$\theta$",tex_to_color_map={r"$\theta$": YELLOW})
theta.shift((0.75*OUT+0.2*RIGHT))
theta.rotate(PI/2,axis=RIGHT)
theta.scale(0.9)
phi=TextMobject(r"$\phi$",tex_to_color_map={"$\phi$": YELLOW})
phi.scale(0.93)
phi.rotate(PI/2, axis=RIGHT)
phi.shift(0.42*RIGHT+1.3*DOWN)
self.set_camera_orientation(phi=70 * DEGREES,theta=-85*DEGREES)
self.play(ShowCreation(axes),ShowCreation(axis_label))
self.begin_ambient_camera_rotation(rate=0.009)
self.wait(1)
self.add(point)
self.play(ApplyMethod(point.shift, 2*RIGHT+2*DOWN+2*OUT))
self.wait(0.5)
self.play(ShowCreation(p))
self.wait(0.5)
self.play(ShowCreation(vec),ShowCreation(rho))
self.wait(1.5)
self.play(ApplyMethod(point.shift,2*IN), ShowCreation(projl))
self.wait(1)
self.play(ShowCreation(proj))
self.wait(1.2)
self.play(ShowCreation(carrow))
self.wait(0.64)
self.play(ShowCreation(phi))
self.wait(1.3)
self.play(ShowCreation(carrow2))
self.wait(0.5)
self.play(ShowCreation(theta))
self.wait(3)
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