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authorSomnath Pandit2020-06-12 18:41:59 +0530
committerSomnath Pandit2020-06-12 18:41:59 +0530
commit70f35b9f0b2f01ca60416fb24e8f4618cdd93735 (patch)
treeb7e8a276d0258d1e467b84c241ac722007e5388c /FSF-2020/calculus-of-several-variables
parent1c8492c83d0b953c2e9f62f0ddb761c33b52b943 (diff)
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-rw-r--r--FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/double-integrals/file2_volume_under_surface.gifbin5460831 -> 6614909 bytes
-rw-r--r--FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/double-integrals/file2_volume_under_surface.py47
2 files changed, 41 insertions, 6 deletions
diff --git a/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/double-integrals/file2_volume_under_surface.gif b/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/double-integrals/file2_volume_under_surface.gif
index 74c306d..1455573 100644
--- a/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/double-integrals/file2_volume_under_surface.gif
+++ b/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/double-integrals/file2_volume_under_surface.gif
Binary files differ
diff --git a/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/double-integrals/file2_volume_under_surface.py b/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/double-integrals/file2_volume_under_surface.py
index cd4060b..38d41c6 100644
--- a/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/double-integrals/file2_volume_under_surface.py
+++ b/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/double-integrals/file2_volume_under_surface.py
@@ -49,11 +49,19 @@ class SurfacesAnimation(ThreeDScene):
theta=-100 * DEGREES,
)
- fn_text=TextMobject("$z=f(x,y)$").set_color(PINK)
+ fn_text=TextMobject(
+ "$z=f(x,y)$",
+ color=PINK,
+ stroke_width=1.5
+ )
self.add_fixed_in_frame_mobjects(fn_text)
fn_text.to_edge(TOP,buff=MED_SMALL_BUFF)
- riemann_sum_text=TextMobject(r"The volume approximated as\\ sum of cuboids",color=BLUE)
+ riemann_sum_text=TextMobject(
+ r"The volume approximated as\\ sum of cuboids",
+ color=BLUE,
+ stroke_width=1.5
+ )
riemann_sum_text.to_corner(UR,buff=.2)
R=TextMobject("R").set_color(BLACK).scale(3)
@@ -73,7 +81,7 @@ class SurfacesAnimation(ThreeDScene):
)
- self.begin_ambient_camera_rotation(rate=0.08)
+ self.begin_ambient_camera_rotation(rate=0.06)
self.play(Write(surface))
# self.add(surface)
@@ -81,14 +89,42 @@ class SurfacesAnimation(ThreeDScene):
self.wait(1)
self.add_fixed_in_frame_mobjects(riemann_sum_text)
self.play(Write(riemann_sum_text))
- self.show_the_riemmann_sum(
+
+ cuboids1=self.show_the_riemmann_sum(
lambda x,y : np.array([x,y,self.Func(x,y)]),
fill_opacity=1,
dl=.5,
start_color=BLUE,
end_color=BLUE_E,
)
+ self.play(ShowCreation(cuboids1),run_time=5)
self.play(FadeOut(surface))
+
+ cuboids2=self.show_the_riemmann_sum(
+ lambda x,y : np.array([x,y,self.Func(x,y)]),
+ fill_opacity=1,
+ dl=.25,
+ start_color=BLUE,
+ end_color=BLUE_E,
+ )
+ self.play(ReplacementTransform(
+ cuboids1,
+ cuboids2
+ ))
+
+ cuboids3=self.show_the_riemmann_sum(
+ lambda x,y : np.array([x,y,self.Func(x,y)]),
+ fill_opacity=1,
+ dl=.1,
+ start_color=BLUE,
+ end_color=BLUE_E,
+ stroke_width=.1,
+ )
+ self.play(
+ FadeOut(cuboids2),
+ ShowCreation(cuboids3),
+ )
+
self.wait(3)
@@ -203,8 +239,7 @@ class SurfacesAnimation(ThreeDScene):
cuboid.set_stroke(stroke_color, width=stroke_width)
cuboids.add(cuboid)
- self.play(ShowCreation(cuboids),run_time=6)
- # self.add(cuboids)
+ return cuboids
#-------------------------------------------------------