From 438c82b8acece26f40be3f70873f272c8ede2fec Mon Sep 17 00:00:00 2001 From: nishanpoojary Date: Sat, 25 Jul 2020 11:07:34 +0530 Subject: Delete file3_sphere.py --- .../multivariable-functions/file3_sphere.py | 177 --------------------- 1 file changed, 177 deletions(-) delete mode 100644 FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file3_sphere.py (limited to 'FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file3_sphere.py') diff --git a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file3_sphere.py b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file3_sphere.py deleted file mode 100644 index 86239ae..0000000 --- a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file3_sphere.py +++ /dev/null @@ -1,177 +0,0 @@ -from manimlib.imports import * - -class Sphere(ThreeDScene): - def construct(self): - axes = ThreeDAxes() # creates a 3D Axis - - text3d = TextMobject(r"$f(x,y) \rightarrow Point(x,y,z)$") - text3d1 = TextMobject(r"$f(x,y) \rightarrow Point(x,y, \sqrt{r^2 - x^2 - y^2})$") - self.add_fixed_in_frame_mobjects(text3d) - text3d.scale(0.7) - text3d1.scale(0.7) - text3d.to_corner(UL) - text3d1.to_corner(UL) - text3d.set_color_by_gradient(RED, ORANGE, YELLOW, GREEN, BLUE, PURPLE) - text3d1.set_color_by_gradient(RED, ORANGE, YELLOW, GREEN, BLUE, PURPLE) - self.play(Write(text3d)) - self.wait(1) - - self.play(Transform(text3d,text3d1)) - self.add_fixed_in_frame_mobjects(text3d1) - self.play(FadeOut(text3d)) - - sphere = ParametricSurface( - lambda u, v: np.array([ - 2*np.sin(u)*np.cos(v), - 2*np.sin(u)*np.sin(v), - 2*np.cos(u) - ]),u_min=0,u_max=PI,v_min=0,v_max=2*PI,checkerboard_colors=[RED_D, RED_E], - resolution=(15, 32)).scale(1) - - - #Experiment with circles by changing difference value of u and v - ''' - sphere_points = [np.array([2*np.sin(u*DEGREES)*np.cos(v*DEGREES), 2*np.sin(u*DEGREES)*np.sin(v*DEGREES), 2*np.cos(u*DEGREES)]) for u in range(0, 185, 5) for v in range(0, 365, 5)] - - sphere_spheres = [Dot().move_to(pts) for pts in sphere_points] - - sphere = VGroup(*sphere_spheres) - ''' - - self.set_camera_orientation(phi=75 * DEGREES, theta = 45*DEGREES) - - self.add(axes) - - axis = TextMobject(r"X",r"Y",r"Z") - axis[0].move_to(6*RIGHT) - axis[1].move_to(6*UP) - axis[2].move_to(np.array([0,0,3.7])) - - self.add_fixed_orientation_mobjects(axis[2]) - self.add_fixed_orientation_mobjects(axis[0]) - self.add_fixed_orientation_mobjects(axis[1]) - - dot_x_y1 = Dot().scale(0.75).set_fill(RED_C).move_to(np.array([-1,1,0])) - dot_x_y_z1 = Dot().scale(0.75).set_fill(RED_C).move_to(np.array([-1,1,1.414])) - dot_x_y_z_1 = Dot().scale(0.75).set_fill(RED_C).move_to(np.array([-1,1,-1.414])) - line1 = DashedLine(np.array([-1,1,-1.414]), np.array([-1,1,1.414]), color = YELLOW_C) - - point_x_y1 = TexMobject("(-1,1,0)").set_color(BLUE_C).move_to(np.array([-1.5,1.5,0])).scale(0.5) - point_x_y_z1 = TexMobject("(-1,1,\\sqrt{r^2 - x^2 - y^2})").set_color(BLUE_C).move_to(np.array([-1.5,1.5,1.414])).scale(0.5) - point_x_y_z1_2 = TexMobject("(-1,1,\\sqrt{4 - x^2 - y^2})").set_color(BLUE_C).move_to(np.array([-1.5,1.5,1.414])).scale(0.5) - point_x_y_z1_3 = TexMobject("(-1,1,\\sqrt{4 - 1 - 1})").set_color(BLUE_C).move_to(np.array([-1.5,1.5,1.414])).scale(0.5) - point_x_y_z1_4 = TexMobject("(-1,1,\\sqrt{2})").set_color(BLUE_C).move_to(np.array([-1.5,1.5,1.414])).scale(0.5) - point_x_y_z1_5 = TexMobject("(-1,1,1.414)").set_color(BLUE_C).move_to(np.array([-1.5,1.5,1.414])).scale(0.5) - - point_x_y_z_1 = TexMobject("(-1,1,\\sqrt{r^2 - x^2 - y^2})").set_color(BLUE_C).move_to(np.array([-1.5,1.5,-1.414])).scale(0.5) - point_x_y_z_1_2 = TexMobject("(-1,1,\\sqrt{4 - x^2 - y^2})").set_color(BLUE_C).move_to(np.array([-1.5,1.5,-1.414])).scale(0.5) - point_x_y_z_1_3 = TexMobject("(-1,1,\\sqrt{4 - 1 - 1})").set_color(BLUE_C).move_to(np.array([-1.5,1.5,-1.414])).scale(0.5) - point_x_y_z_1_4 = TexMobject("(-1,1,\\sqrt{2})").set_color(BLUE_C).move_to(np.array([-1.5,1.5,-1.414])).scale(0.5) - point_x_y_z_1_5 = TexMobject("(-1,1,-1.414)").set_color(BLUE_C).move_to(np.array([-1.5,1.5,-1.414])).scale(0.5) - - - self.play(ShowCreation(dot_x_y1)) - self.add_fixed_orientation_mobjects(point_x_y1) - self.play(ShowCreation(dot_x_y_z1), ShowCreation(dot_x_y_z_1), ShowCreation(line1)) - self.add_fixed_orientation_mobjects(point_x_y_z1, point_x_y_z_1) - self.wait(0.5) - self.play(ReplacementTransform(point_x_y_z1,point_x_y_z1_2), ReplacementTransform(point_x_y_z_1,point_x_y_z_1_2)) - self.add_fixed_orientation_mobjects(point_x_y_z1_2, point_x_y_z_1_2) - - self.wait(0.5) - self.play(ReplacementTransform(point_x_y_z1_2,point_x_y_z1_3), ReplacementTransform(point_x_y_z_1_2,point_x_y_z_1_3)) - self.add_fixed_orientation_mobjects(point_x_y_z1_3, point_x_y_z_1_3) - self.wait(0.5) - self.play(ReplacementTransform(point_x_y_z1_3,point_x_y_z1_4), ReplacementTransform(point_x_y_z_1_3,point_x_y_z_1_4)) - self.add_fixed_orientation_mobjects(point_x_y_z1_4, point_x_y_z_1_4) - self.wait(0.5) - self.play(ReplacementTransform(point_x_y_z1_4,point_x_y_z1_5), ReplacementTransform(point_x_y_z_1_4,point_x_y_z_1_5)) - self.add_fixed_orientation_mobjects(point_x_y_z1_5, point_x_y_z_1_5) - - - - dot_x_y2 = Dot().scale(0.75).set_fill(RED_C).move_to(np.array([0.5,-0.5,0])) - dot_x_y_z2 = Dot().scale(0.75).set_fill(RED_C).move_to(np.array([0.5,-0.5,1.87])) - dot_x_y_z_2 = Dot().scale(0.75).set_fill(RED_C).move_to(np.array([0.5,-0.5,-1.87])) - line2 = DashedLine(np.array([0.5,-0.5,-1.87]), np.array([0.5,-0.5,1.87]), color = YELLOW_C) - - point_x_y2 = TexMobject("(0.5,-0.5,0)").set_color(BLUE_C).move_to(np.array([1.5,-1.5,0])).scale(0.5) - point_x_y_z2 = TexMobject("(0.5,-0.5,\\sqrt{r^2 - x^2 - y^2})").set_color(BLUE_C).move_to(np.array([1.5,-1.5,1.87])).scale(0.5) - point_x_y_z2_2 = TexMobject("(0.5,-0.5,\\sqrt{4 - x^2 - y^2})").set_color(BLUE_C).move_to(np.array([1.5,-1.5,1.87])).scale(0.5) - point_x_y_z2_3 = TexMobject("(0.5,-0.5,\\sqrt{4 - 0.25 - 0.25})").set_color(BLUE_C).move_to(np.array([1.5,-1.5,1.87])).scale(0.5) - point_x_y_z2_4 = TexMobject("(0.5,-0.5,\\sqrt{3.5})").set_color(BLUE_C).move_to(np.array([1.5,-1.5,1.87])).scale(0.5) - point_x_y_z2_5 = TexMobject("(0.5,-0.5,1.87)").set_color(BLUE_C).move_to(np.array([1.5,-1.5,1.87])).scale(0.5) - - point_x_y_z_2 = TexMobject("(0.5,-0.5,\\sqrt{r^2 - x^2 - y^2})").set_color(BLUE_C).move_to(np.array([1.5,-1.5,-1.87])).scale(0.5) - point_x_y_z_2_2 = TexMobject("(0.5,-0.5,\\sqrt{4 - x^2 - y^2})").set_color(BLUE_C).move_to(np.array([1.5,-1.5,-1.87])).scale(0.5) - point_x_y_z_2_3 = TexMobject("(0.5,-0.5,\\sqrt{4 - 0.25 - 0.25})").set_color(BLUE_C).move_to(np.array([1.5,-1.5,-1.87])).scale(0.5) - point_x_y_z_2_4 = TexMobject("(0.5,-0.5,\\sqrt{3.5})").set_color(BLUE_C).move_to(np.array([1.5,-1.5,-1.87])).scale(0.5) - point_x_y_z_2_5 = TexMobject("(0.5,-0.5,-1.87)").set_color(BLUE_C).move_to(np.array([1.5,-1.5,-1.87])).scale(0.5) - - - self.play(ShowCreation(dot_x_y2)) - self.add_fixed_orientation_mobjects(point_x_y2) - self.play(ShowCreation(dot_x_y_z2), ShowCreation(dot_x_y_z_2), ShowCreation(line2)) - self.add_fixed_orientation_mobjects(point_x_y_z2, point_x_y_z_2) - self.wait(0.5) - self.play(ReplacementTransform(point_x_y_z2,point_x_y_z2_2), ReplacementTransform(point_x_y_z_2,point_x_y_z_2_2)) - self.add_fixed_orientation_mobjects(point_x_y_z2_2, point_x_y_z_2_2) - - self.wait(0.5) - self.play(ReplacementTransform(point_x_y_z2_2,point_x_y_z2_3), ReplacementTransform(point_x_y_z_2_2,point_x_y_z_2_3)) - self.add_fixed_orientation_mobjects(point_x_y_z2_3, point_x_y_z_2_3) - self.wait(0.5) - self.play(ReplacementTransform(point_x_y_z2_3,point_x_y_z2_4), ReplacementTransform(point_x_y_z_2_3,point_x_y_z_2_4)) - self.add_fixed_orientation_mobjects(point_x_y_z2_4, point_x_y_z_2_4) - self.wait(0.5) - self.play(ReplacementTransform(point_x_y_z2_4,point_x_y_z2_5), ReplacementTransform(point_x_y_z_2_4,point_x_y_z_2_5)) - self.add_fixed_orientation_mobjects(point_x_y_z2_5, point_x_y_z_2_5) - - self.play(FadeOut(point_x_y1), FadeOut(point_x_y_z1_5), FadeOut(point_x_y_z_1_5), FadeOut(dot_x_y1), FadeOut(dot_x_y_z1), FadeOut(dot_x_y_z_1), FadeOut(line1)) - self.play(FadeOut(point_x_y2), FadeOut(point_x_y_z2_5), FadeOut(point_x_y_z_2_5), FadeOut(dot_x_y2), FadeOut(dot_x_y_z2), FadeOut(dot_x_y_z_2), FadeOut(line2)) - - - - - sphere_final = [] - - for u in range(0, 180, 15): - sphere_points1 = [np.array([2*np.sin(u*DEGREES)*np.cos(v*DEGREES), 2*np.sin(u*DEGREES)*np.sin(v*DEGREES), 2*np.cos(u*DEGREES)]) for v in range(0, 370, 10)] - sphere_dots1 = [Dot().scale(0.75).set_fill(RED_C).move_to(pts) for pts in sphere_points1] - - sphere_points2 = [np.array([2*np.sin((u+5)*DEGREES)*np.cos(v*DEGREES), 2*np.sin((u+5)*DEGREES)*np.sin(v*DEGREES), 2*np.cos((u+5)*DEGREES)]) for v in range(0, 370, 10)] - sphere_dots2 = [Dot().scale(0.75).set_fill(RED_C).move_to(pts) for pts in sphere_points2] - - sphere_points3 = [np.array([2*np.sin((u+10)*DEGREES)*np.cos(v*DEGREES), 2*np.sin((u+10)*DEGREES)*np.sin(v*DEGREES), 2*np.cos((u+10)*DEGREES)]) for v in range(0, 370, 10)] - sphere_dots3 = [Dot().scale(0.75).set_fill(RED_C).move_to(pts) for pts in sphere_points3] - - sphere_final = sphere_final + sphere_dots1 + sphere_dots2 + sphere_dots3 - - sphere_dots = sphere_dots1 + sphere_dots2 + sphere_dots3 - - sphere_with_dots = VGroup(*sphere_dots) - self.play(ShowCreation(sphere_with_dots)) - - sphere_final_with_dots = VGroup(*sphere_final) - - - self.begin_ambient_camera_rotation(rate=0.5) - self.wait(3) - self.play(ReplacementTransform(sphere_final_with_dots, sphere)) - self.wait(5) - - - - - - - - - - - - - - - - -- cgit From af3ee5e5194098b387402475b09773a82983d887 Mon Sep 17 00:00:00 2001 From: nishanpoojary Date: Sat, 25 Jul 2020 11:07:49 +0530 Subject: Add files via upload --- .../multivariable-functions/file3_sphere.py | 145 +++++++++++++++++++++ 1 file changed, 145 insertions(+) create mode 100644 FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file3_sphere.py (limited to 'FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file3_sphere.py') diff --git a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file3_sphere.py b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file3_sphere.py new file mode 100644 index 0000000..fcbc410 --- /dev/null +++ b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file3_sphere.py @@ -0,0 +1,145 @@ +from manimlib.imports import * + +class Sphere(ThreeDScene): + def construct(self): + axes = ThreeDAxes() # creates a 3D Axis + + text3d1 = TextMobject(r"$z = f(x,y) = \sqrt{r^2 - x^2 - y^2}$") + + text3d1.scale(0.7) + + text3d1.to_corner(UL) + + text3d1.set_color_by_gradient(RED, ORANGE, YELLOW, GREEN, BLUE, PURPLE) + self.play(Write(text3d1)) + self.wait(1) + + self.add_fixed_in_frame_mobjects(text3d1) + + sphere = ParametricSurface( + lambda u, v: np.array([ + 2*np.sin(u)*np.cos(v), + 2*np.sin(u)*np.sin(v), + 2*np.cos(u) + ]),u_min=0,u_max=PI/2,v_min=0,v_max=2*PI,checkerboard_colors=[RED_D, RED_E], + resolution=(15, 32)).scale(1) + + + #Experiment with circles by changing difference value of u and v + ''' + sphere_points = [np.array([2*np.sin(u*DEGREES)*np.cos(v*DEGREES), 2*np.sin(u*DEGREES)*np.sin(v*DEGREES), 2*np.cos(u*DEGREES)]) for u in range(0, 185, 5) for v in range(0, 365, 5)] + + sphere_spheres = [Dot().move_to(pts) for pts in sphere_points] + + sphere = VGroup(*sphere_spheres) + ''' + + self.set_camera_orientation(phi=75 * DEGREES, theta = 45*DEGREES) + + self.add(axes) + + axis = TextMobject(r"X",r"Y",r"Z") + axis[0].move_to(6*RIGHT) + axis[1].move_to(6*UP) + axis[2].move_to(np.array([0,0,3.7])) + + self.add_fixed_orientation_mobjects(axis[2]) + self.add_fixed_orientation_mobjects(axis[0]) + self.add_fixed_orientation_mobjects(axis[1]) + + dot_x_y1 = Dot().scale(0.75).set_fill(RED_C).move_to(np.array([-1,1,0])) + dot_x_y_z1 = Dot().scale(0.75).set_fill(RED_C).move_to(np.array([-1,1,1.414])) + + line1 = DashedLine(np.array([-1,1,0]), np.array([-1,1,1.414]), color = YELLOW_C) + + point_x_y1 = TexMobject("(-1,1,0)").set_color(BLUE_C).move_to(np.array([-1.5,1.5,0])).scale(0.5) + point_x_y_z1 = TexMobject("(-1,1,\\sqrt{r^2 - x^2 - y^2})").set_color(BLUE_C).move_to(np.array([-1.5,1.5,1.414])).scale(0.5) + point_x_y_z1_2 = TexMobject("(-1,1,\\sqrt{4 - x^2 - y^2})").set_color(BLUE_C).move_to(np.array([-1.5,1.5,1.414])).scale(0.5) + point_x_y_z1_3 = TexMobject("(-1,1,\\sqrt{4 - 1 - 1})").set_color(BLUE_C).move_to(np.array([-1.5,1.5,1.414])).scale(0.5) + point_x_y_z1_4 = TexMobject("(-1,1,\\sqrt{2})").set_color(BLUE_C).move_to(np.array([-1.5,1.5,1.414])).scale(0.5) + point_x_y_z1_5 = TexMobject("(-1,1,1.414)").set_color(BLUE_C).move_to(np.array([-1.5,1.5,1.414])).scale(0.5) + + + self.play(ShowCreation(dot_x_y1)) + self.add_fixed_orientation_mobjects(point_x_y1) + self.play(ShowCreation(dot_x_y_z1), ShowCreation(line1)) + self.add_fixed_orientation_mobjects(point_x_y_z1) + self.wait(0.5) + self.play(ReplacementTransform(point_x_y_z1,point_x_y_z1_2)) + self.add_fixed_orientation_mobjects(point_x_y_z1_2) + + self.wait(0.5) + self.play(ReplacementTransform(point_x_y_z1_2,point_x_y_z1_3)) + self.add_fixed_orientation_mobjects(point_x_y_z1_3) + self.wait(0.5) + self.play(ReplacementTransform(point_x_y_z1_3,point_x_y_z1_4)) + self.add_fixed_orientation_mobjects(point_x_y_z1_4) + self.wait(0.5) + self.play(ReplacementTransform(point_x_y_z1_4,point_x_y_z1_5)) + self.add_fixed_orientation_mobjects(point_x_y_z1_5) + + + + dot_x_y2 = Dot().scale(0.75).set_fill(RED_C).move_to(np.array([0.5,-0.5,0])) + dot_x_y_z2 = Dot().scale(0.75).set_fill(RED_C).move_to(np.array([0.5,-0.5,1.87])) + + line2 = DashedLine(np.array([0.5,-0.5,0]), np.array([0.5,-0.5,1.87]), color = YELLOW_C) + + point_x_y2 = TexMobject("(0.5,-0.5,0)").set_color(BLUE_C).move_to(np.array([1.5,-1.5,0])).scale(0.5) + point_x_y_z2 = TexMobject("(0.5,-0.5,\\sqrt{r^2 - x^2 - y^2})").set_color(BLUE_C).move_to(np.array([1.5,-1.5,1.87])).scale(0.5) + point_x_y_z2_2 = TexMobject("(0.5,-0.5,\\sqrt{4 - x^2 - y^2})").set_color(BLUE_C).move_to(np.array([1.5,-1.5,1.87])).scale(0.5) + point_x_y_z2_3 = TexMobject("(0.5,-0.5,\\sqrt{4 - 0.25 - 0.25})").set_color(BLUE_C).move_to(np.array([1.5,-1.5,1.87])).scale(0.5) + point_x_y_z2_4 = TexMobject("(0.5,-0.5,\\sqrt{3.5})").set_color(BLUE_C).move_to(np.array([1.5,-1.5,1.87])).scale(0.5) + point_x_y_z2_5 = TexMobject("(0.5,-0.5,1.87)").set_color(BLUE_C).move_to(np.array([1.5,-1.5,1.87])).scale(0.5) + + + self.play(ShowCreation(dot_x_y2)) + self.add_fixed_orientation_mobjects(point_x_y2) + self.play(ShowCreation(dot_x_y_z2), ShowCreation(line2)) + self.add_fixed_orientation_mobjects(point_x_y_z2) + self.wait(0.5) + self.play(ReplacementTransform(point_x_y_z2,point_x_y_z2_2)) + self.add_fixed_orientation_mobjects(point_x_y_z2_2) + + self.wait(0.5) + self.play(ReplacementTransform(point_x_y_z2_2,point_x_y_z2_3)) + self.add_fixed_orientation_mobjects(point_x_y_z2_3) + self.wait(0.5) + self.play(ReplacementTransform(point_x_y_z2_3,point_x_y_z2_4)) + self.add_fixed_orientation_mobjects(point_x_y_z2_4) + self.wait(0.5) + self.play(ReplacementTransform(point_x_y_z2_4,point_x_y_z2_5)) + self.add_fixed_orientation_mobjects(point_x_y_z2_5) + + self.play(FadeOut(point_x_y1), FadeOut(point_x_y_z1_5)) + self.play(FadeOut(point_x_y2), FadeOut(point_x_y_z2_5)) + + + + + sphere_final = [] + + for u in range(0, 90, 15): + sphere_points1 = [np.array([2*np.sin(u*DEGREES)*np.cos(v*DEGREES), 2*np.sin(u*DEGREES)*np.sin(v*DEGREES), 2*np.cos(u*DEGREES)]) for v in range(0, 370, 10)] + sphere_dots1 = [Dot().scale(0.75).set_fill(RED_C).move_to(pts) for pts in sphere_points1] + + sphere_points2 = [np.array([2*np.sin((u+5)*DEGREES)*np.cos(v*DEGREES), 2*np.sin((u+5)*DEGREES)*np.sin(v*DEGREES), 2*np.cos((u+5)*DEGREES)]) for v in range(0, 370, 10)] + sphere_dots2 = [Dot().scale(0.75).set_fill(RED_C).move_to(pts) for pts in sphere_points2] + + sphere_points3 = [np.array([2*np.sin((u+10)*DEGREES)*np.cos(v*DEGREES), 2*np.sin((u+10)*DEGREES)*np.sin(v*DEGREES), 2*np.cos((u+10)*DEGREES)]) for v in range(0, 370, 10)] + sphere_dots3 = [Dot().scale(0.75).set_fill(RED_C).move_to(pts) for pts in sphere_points3] + + sphere_final = sphere_final + sphere_dots1 + sphere_dots2 + sphere_dots3 + + sphere_dots = sphere_dots1 + sphere_dots2 + sphere_dots3 + + sphere_with_dots = VGroup(*sphere_dots) + self.play(ShowCreation(sphere_with_dots)) + + sphere_final_with_dots = VGroup(*sphere_final) + + + self.begin_ambient_camera_rotation(rate=0.5) + self.wait(3) + self.play(ReplacementTransform(sphere_final_with_dots, sphere)) + self.wait(5) \ No newline at end of file -- cgit