Create file2_spherical_coordinates.py

1 files changed, 159 insertions, 0 deletions

diff --git a/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/triple-integrals/file2_spherical_coordinates.py b/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/triple-integrals/file2_spherical_coordinates.py
new file mode 100644
index 0000000..7dcc81a
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/triple-integrals/file2_spherical_coordinates.py
@@ -0,0 +1,159 @@
+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)
+        
+
+