diff options
Diffstat (limited to 'FSF-2020/calculus-of-several-variables')
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 Binary files differindex 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 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 #------------------------------------------------------- |
