Create file1_projection.py

1 files changed, 89 insertions, 0 deletions

diff --git a/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals/file1_projection.py b/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals/file1_projection.py
new file mode 100644
index 0000000..2d6f067
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals/file1_projection.py
@@ -0,0 +1,89 @@
+from manimlib.imports import *
+
+class Surface(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)
+
+
+
+
+
+		para_hyp = ParametricSurface(
+			lambda u, v: np.array([
+				u,
+				v,
+				2+u/4+np.sin(v)
+			]),v_min=-3,v_max=-0.4,u_min=-1,u_max=1,
+			resolution=(15, 32)).scale(1)
+		para_hyp.scale(0.3)
+		para_hyp.shift(1.2*RIGHT + 0.2*OUT + 0.4*DOWN)
+		para_hyp.rotate(PI,axis=RIGHT)
+		para_hyp.scale(2.5)
+		# para_hyp.rotate(PI/3.2,axis=OUT)
+		para_hyp2= ParametricSurface(
+			lambda u, v: np.array([
+				u,
+				v,
+				2+u/4+np.sin(v)
+			]),v_min=-3,v_max=-0.4,u_min=-1,u_max=1,
+			resolution=(15, 32)).scale(1)
+		para_hyp2.scale(0.3)
+		para_hyp2.shift(1.2*RIGHT + 0.2*OUT + 0.4*DOWN)
+		para_hyp2.rotate(PI,axis=RIGHT)
+		para_hyp2.scale(2.5)
+
+		rec=Rectangle(height=2.11, width=1.58, color=RED, fill_opacity=0.66)
+		rec.shift(1.3*RIGHT +  2.295*DOWN)
+		# rec.scale(2.5)
+
+
+		l1=DashedLine(start=0.5*RIGHT+1.1*DOWN+1.55*OUT,end=0.5*RIGHT+1.1*DOWN)
+		l2=DashedLine(start=2.1*RIGHT+1.1*DOWN+1.25*OUT,end=2.1*RIGHT+1.1*DOWN)
+		l3=DashedLine(start=2.1*RIGHT+3.4*DOWN+1.6*OUT,end=2.1*RIGHT+3.4*DOWN)
+		l4=DashedLine(start=0.5*RIGHT+3.4*DOWN+2*OUT,end=0.5*RIGHT+3.4*DOWN)
+		l=VGroup(l1,l2,l3,l4)
+
+		
+		
+		s=TextMobject("S",tex_to_color_map={"S": YELLOW})
+		s.rotate(PI/4,axis=RIGHT)
+		s.rotate(PI/15,axis=OUT)
+		s.shift(RIGHT + 2*OUT + 1.5*DOWN)
+		d=TextMobject("D",tex_to_color_map={"D": YELLOW})
+		d.scale(0.85)
+		d.shift(1.26*RIGHT +  2.45*DOWN)
+
+
+
+
+		
+		self.set_camera_orientation(phi=75 * DEGREES,theta=-60*DEGREES)
+		self.begin_ambient_camera_rotation(rate=-0.02)
+		self.play(ShowCreation(axes),ShowCreation(axis_label))
+		self.wait(1.3)
+		self.play(ShowCreation(para_hyp))
+		self.play(ShowCreation(s))
+		self.add(para_hyp2)
+		self.play(Transform(para_hyp,rec),run_time=2)
+		self.play(ShowCreation(d))
+		
+		self.wait(3)
+
+