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Diffstat (limited to 'FSF-2020/calculus-of-several-variables/div-curl-grad-and-all-that/gradient/file5_steepest-ascent-analogy.py')
| -rw-r--r-- | FSF-2020/calculus-of-several-variables/div-curl-grad-and-all-that/gradient/file5_steepest-ascent-analogy.py | 71 |
1 files changed, 71 insertions, 0 deletions
diff --git a/FSF-2020/calculus-of-several-variables/div-curl-grad-and-all-that/gradient/file5_steepest-ascent-analogy.py b/FSF-2020/calculus-of-several-variables/div-curl-grad-and-all-that/gradient/file5_steepest-ascent-analogy.py new file mode 100644 index 0000000..803ea4a --- /dev/null +++ b/FSF-2020/calculus-of-several-variables/div-curl-grad-and-all-that/gradient/file5_steepest-ascent-analogy.py @@ -0,0 +1,71 @@ +from manimlib.imports import * +import numpy as np + +class Rules(ThreeDScene): + + def setup(self): + ThreeDScene.setup(self) + + def construct(self): + axes = ThreeDAxes()#.scale(0.8)#.shift(2*RIGHT, 2*DOWN) + self.set_camera_orientation(phi=PI/3 + 10*DEGREES,theta=-PI/4 + 25*DEGREES,distance=60) + + plane = Polygon(np.array([4,4,0]), np.array([4, -4, 0]), np.array([-4, -4, 0]), np.array([-4, 4, 0]), color = BLACK, fill_color = YELLOW_E, fill_opacity = 0.3) + + path_one = Line(start = ORIGIN, end = np.array([3, 0, 0])).set_color(BLUE_E) + path_one_text = TexMobject(r"\textrm{3 steps in the x direction}").shift(2*DOWN+3.5*LEFT).scale(0.5).set_color(BLUE_E) + path_two_text = TexMobject(r"\textrm{2 steps in the y direction}").next_to(path_one_text, DOWN, buff = SMALL_BUFF).scale(0.5).set_color(GREEN_C) + path_three_text = TexMobject(r"\textrm{2 steps in the z direction}").next_to(path_two_text, DOWN, buff = SMALL_BUFF).scale(0.5).set_color(PURPLE_E) + obj = TextMobject("Objective: ", "Maximise points for a set number of steps").scale(0.8).to_edge(UP+LEFT) + + steps = TexMobject(r"\textrm{Total steps = 7}").to_edge(RIGHT, buff = LARGE_BUFF).set_color(YELLOW_E).scale(0.7).shift(1*UP) + points_one = TexMobject(r"\textrm{Total points = 13}").next_to(steps, DOWN, buff = SMALL_BUFF).scale(0.7).set_color(YELLOW_E) + question = TexMobject(r"\textrm{Change direction to score more points?}").shift(2*DOWN+2.5*RIGHT).scale(0.9) + + path_two = Line(start = np.array([3, 0, 0]), end = np.array([3, 2, 0])).set_color(GREEN_C) + path_three = Line(start = np.array([3, 2, 0]), end = np.array([3, 2, 2])).set_color(PURPLE_E) + total = Line(start = np.array([0, 0, 0]), end = np.array([3, 2, 2])).set_color(YELLOW_E) + projection_total = Line(start = np.array([0, 0, 0]), end = np.array([3, 2, 0])) + paths = VGroup(path_one, path_two, path_three, path_one_text, path_two_text, path_three_text) + + total_one = VGroup(total, projection_total) + + total_two = Line(start = np.array([0, 0, 0]), end = np.array([4, 1, 2])).set_color(YELLOW_E) + projection_total_two = Line(start = np.array([0, 0, 0]), end = np.array([4, 1, 0])) + points_two = TexMobject(r"\textrm{Total points = 12}").next_to(steps, DOWN, buff = SMALL_BUFF).scale(0.7).set_color(YELLOW_E) + + total_three = Line(start = np.array([0, 0, 0]), end = np.array([1, 4, 2])).set_color(YELLOW_E) + projection_total_three = Line(start = np.array([0, 0, 0]), end = np.array([1, 4, 0])) + points_three = TexMobject(r"\textrm{Total points = 15}").next_to(steps, DOWN, buff = SMALL_BUFF).scale(0.7).set_color(YELLOW_E) + + everything = VGroup(axes, plane, path_one, path_two, path_three, total, projection_total, total_two, projection_total_two, total_three, projection_total_three) + everything.scale(0.7).shift(2*LEFT+1*DOWN) + self.add_fixed_in_frame_mobjects(obj) + self.add(axes, plane) + self.wait() + self.add_fixed_in_frame_mobjects(path_one_text) + self.play(ShowCreation(path_one)) + self.wait() + self.add_fixed_in_frame_mobjects(path_two_text) + self.play(ShowCreation(path_two)) + self.wait() + self.add_fixed_in_frame_mobjects(path_three_text) + self.play(ShowCreation(path_three)) + self.add_fixed_in_frame_mobjects(steps, points_one) + self.wait() + self.play(ShowCreation(total)) + self.play(ReplacementTransform(total.copy(), projection_total)) + self.wait() + self.play(FadeOut(paths)) + self.add_fixed_in_frame_mobjects(question) + self.wait() + self.play(ReplacementTransform(total, total_two), ReplacementTransform(projection_total, projection_total_two)) + self.play(FadeOut(points_one)) + self.add_fixed_in_frame_mobjects(points_two) + self.wait() + self.play(ReplacementTransform(total_two, total_three), ReplacementTransform(projection_total_two, projection_total_three)) + self.play(FadeOut(points_two)) + self.add_fixed_in_frame_mobjects(points_three) + self.wait() + + |