1 files changed, 120 insertions, 0 deletions
diff --git a/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/triple-integrals/file1_3D_crossproduct.py b/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/triple-integrals/file1_3D_crossproduct.py
new file mode 100644
index 0000000..6720e7e
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/triple-integrals/file1_3D_crossproduct.py
@@ -0,0 +1,120 @@
+from manimlib.imports import*
+
+
+
+class TripleBox(ThreeDScene):
+
+    def construct(self):
+
+        axes=ThreeDAxes()
+        cube=Cube(fill_color=RED,fill_opacity=0.5)
+        cube.scale(0.5)
+        cube.shift(0.5*RIGHT+0.5*DOWN+0.5*OUT)
+        cube.shift(2*RIGHT+2*DOWN+1*OUT)
+
+
+
+        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)
+
+
+
+        
+        a=TextMobject("a")
+        b=TextMobject("b")
+        c=TextMobject("c")
+        d=TextMobject("d")
+        e=TextMobject("e")
+        f=TextMobject("f")
+
+
+
+        a.rotate(PI/2, axis=RIGHT)
+        a.rotate(PI/2, axis=OUT)
+        a.shift(2*DOWN+0.3*OUT+0.3*LEFT)
+
+        b.rotate(PI/2, axis=RIGHT)
+        b.rotate(PI/2, axis=OUT)
+        b.shift(3*DOWN+0.3*OUT+0.3*LEFT)
+        
+
+        c.rotate(PI/2, axis=RIGHT)
+        c.shift(2*RIGHT+0.3*OUT)
+        
+        d.rotate(PI/2, axis=RIGHT)
+        d.shift(3*RIGHT+0.3*OUT)
+
+
+        e.rotate(PI/2, axis=RIGHT)
+        e.rotate(PI/4, axis=OUT)
+        e.shift(1*OUT+0.3*DOWN+0.2*LEFT)
+
+
+        f.rotate(PI/2, axis=RIGHT)
+        f.rotate(PI/4, axis=OUT)
+        f.shift(2*OUT+0.3*DOWN+0.2*LEFT)
+
+
+
+        rec1=Rectangle(height=1, width=8,color=RED, fill_color=RED_C, fill_opacity=0.40)
+        rec1.shift(2.5*DOWN+4*RIGHT)
+
+        rec2=Rectangle(height=1, width=14,color=RED, fill_color=RED_C, fill_opacity=0.40)
+        rec2.rotate(PI/2, axis=OUT)
+        rec2.shift(7*DOWN+2.5*RIGHT)
+
+
+        sq=Square(color=RED,fill_opacity=60,side_length=1)
+        sq.shift(2.5*RIGHT+2.5*DOWN)
+
+
+
+        self.set_camera_orientation(phi=70 * DEGREES,theta=-70*DEGREES)
+        self.play(ShowCreation(axes),ShowCreation(axis_label))
+        self.begin_ambient_camera_rotation(rate=0.04)
+        self.play(ShowCreation(a),ShowCreation(b))
+        self.wait(0.5)
+        self.play(ShowCreation(rec1))
+        self.play(ShowCreation(c),ShowCreation(d))
+        self.play(ShowCreation(rec2))
+        self.add(sq)
+        self.wait(0.5)
+
+        self.play(FadeOut(rec1),FadeOut(rec2))
+        self.wait(1)
+
+        self.play(ShowCreation(e),ShowCreation(f))
+        self.wait(0.5)
+        self.play(ApplyMethod(sq.shift, 1*OUT))
+        self.wait(0.5)
+        self.play(Transform(sq,cube))
+
+   
+        self.wait(0.5)
+
+
+      
+        self.wait(0.5)
+
+       
+
+
+        self.wait(3)
+        self.stop_ambient_camera_rotation()  
+        self.wait(1.5)
+        
+