def construct(self): morty = Mortimer() morty.next_to(ORIGIN, DOWN) morty.to_edge(RIGHT) headphones = Headphones(height = 1) headphones.move_to(morty.eyes, aligned_edge = DOWN) headphones.shift(0.1*DOWN) url = TextMobject("www.audibletrial.com/3blue1brown") url.scale(0.8) url.to_corner(UP+RIGHT, buff = LARGE_BUFF) book = ImageMobject("zen_and_motorcycles") book.scale_to_fit_height(5) book.to_edge(DOWN, buff = LARGE_BUFF) border = Rectangle(color = WHITE) border.replace(book, stretch = True) self.play(PiCreatureSays( morty, "Book recommendation!", target_mode = "surprised" )) self.play(Blink(morty)) self.play( FadeIn(headphones), morty.change_mode, "thinking", FadeOut(morty.bubble), FadeOut(morty.bubble.content), ) self.play(Write(url)) self.play(morty.change_mode, "happy") self.dither(2) self.play(Blink(morty)) self.dither(2) self.play( morty.change_mode, "raise_right_hand", morty.look_at, url ) self.dither(2) self.play( morty.change_mode, "happy", morty.look_at, book ) self.play(FadeIn(book)) self.play(ShowCreation(border)) self.dither(2) self.play(Blink(morty)) self.dither() self.play( morty.change_mode, "thinking", morty.look_at, book ) self.dither(2) self.play(Blink(morty)) self.dither(4) self.play(Blink(morty))
def four_billion_earths(self): self.create_four_billion_copies( 3, self.get_earth() ) milky_way = ImageMobject("milky_way") milky_way.scale_to_fit_height(3) milky_way.to_edge(LEFT, buff = 0) milky_way.shift(DOWN) n_stars_estimate = TextMobject("100 to 400 \\\\ billion stars") n_stars_estimate.next_to(milky_way, RIGHT) n_stars_estimate.shift(UP) earth, h_line, denom = self.get_fraction( 3, self.get_earth(), self.get_galaxy() ) self.revert_to_original_skipping_status() self.play(FadeIn(milky_way)) self.play(Write(n_stars_estimate)) self.dither() self.play(LaggedStart( Indicate, self.group_of_four_billion_things, rate_func = there_and_back, lag_ratio = 0.2, run_time = 3, )) self.dither() self.play( ReplacementTransform( self.group_of_four_billion_things, VGroup(earth) ), ShowCreation(h_line), FadeIn(denom), self.four_billions[3].restore, FadeOut(milky_way), FadeOut(n_stars_estimate), ) self.dither()
def four_billion_earths(self): self.create_four_billion_copies(3, self.get_earth()) milky_way = ImageMobject("milky_way") milky_way.scale_to_fit_height(3) milky_way.to_edge(LEFT, buff=0) milky_way.shift(DOWN) n_stars_estimate = TextMobject("100 to 400 \\\\ billion stars") n_stars_estimate.next_to(milky_way, RIGHT) n_stars_estimate.shift(UP) earth, h_line, denom = self.get_fraction(3, self.get_earth(), self.get_galaxy()) self.revert_to_original_skipping_status() self.play(FadeIn(milky_way)) self.play(Write(n_stars_estimate)) self.dither() self.play( LaggedStart( Indicate, self.group_of_four_billion_things, rate_func=there_and_back, lag_ratio=0.2, run_time=3, )) self.dither() self.play( ReplacementTransform(self.group_of_four_billion_things, VGroup(earth)), ShowCreation(h_line), FadeIn(denom), self.four_billions[3].restore, FadeOut(milky_way), FadeOut(n_stars_estimate), ) self.dither()
def construct(self): clock = Circle(radius=2, color=WHITE) clock.add(Dot(ORIGIN)) ticks = Mobject(*[ Line(1.8 * vect, 2 * vect, color=GREY) for vect in compass_directions(12) ]) clock.add(ticks) hour_hand = Line(ORIGIN, UP) minute_hand = Line(ORIGIN, 1.5 * UP) clock.add(hour_hand, minute_hand) clock.to_corner(UP + RIGHT) hour_hand.get_center = lambda: clock.get_center() minute_hand.get_center = lambda: clock.get_center() solution = ImageMobject("Newton_brachistochrone_solution2", use_cache=False) solution.stroke_width = 3 solution.highlight(GREY) solution.scale_to_fit_width(5) solution.to_corner(UP + RIGHT) newton = ImageMobject("Old_Newton", invert=False) newton.scale(0.8) phil_trans = TextMobject("Philosophical Transactions") rect = Rectangle(height=6, width=4.5, color=WHITE) rect.to_corner(UP + RIGHT) rect.shift(DOWN) phil_trans.scale_to_fit_width(0.8 * rect.get_width()) phil_trans.next_to(Point(rect.get_top()), DOWN) new_solution = solution.copy() new_solution.scale_to_fit_width(phil_trans.get_width()) new_solution.next_to(phil_trans, DOWN, buff=1) not_newton = TextMobject("-Totally not by Newton") not_newton.scale_to_fit_width(2.5) not_newton.next_to(new_solution, DOWN, aligned_edge=RIGHT) phil_trans.add(rect) newton_complaint = TextMobject([ "``I do not love to be", " \\emph{dunned} ", "and teased by foreigners''" ], size="\\small") newton_complaint.to_edge(UP, buff=0.2) dunned = newton_complaint.split()[1] dunned.highlight() dunned_def = TextMobject( "(old timey term for making \\\\ demands on someone)") dunned_def.scale(0.7) dunned_def.next_to(phil_trans, LEFT) dunned_def.shift(2 * UP) dunned_arrow = Arrow(dunned_def, dunned) johann = ImageMobject("Johann_Bernoulli2", invert=False) johann.scale(0.4) johann.to_edge(LEFT) johann.shift(DOWN) johann_quote = TextMobject("``I recognize the lion by his claw''") johann_quote.next_to(johann, UP, aligned_edge=LEFT) self.play(ApplyMethod(newton.to_edge, LEFT)) self.play(ShowCreation(clock)) kwargs = {"axis": OUT, "rate_func": smooth} self.play(Rotating(hour_hand, radians=-2 * np.pi, **kwargs), Rotating(minute_hand, radians=-12 * 2 * np.pi, **kwargs), run_time=5) self.wait() self.clear() self.add(newton) clock.ingest_submobjects() self.play(Transform(clock, solution)) self.remove(clock) self.add(solution) self.wait() self.play(FadeIn(phil_trans), Transform(solution, new_solution)) self.wait() self.play(ShimmerIn(not_newton)) phil_trans.add(solution, not_newton) self.wait() self.play(*map(ShimmerIn, newton_complaint.split())) self.wait() self.play(ShimmerIn(dunned_def), ShowCreation(dunned_arrow)) self.wait() self.remove(dunned_def, dunned_arrow) self.play(FadeOut(newton_complaint)) self.remove(newton_complaint) self.play(FadeOut(newton), GrowFromCenter(johann)) self.remove(newton) self.wait() self.play(ShimmerIn(johann_quote)) self.wait()
def construct(self): clock = Circle(radius = 2, color = WHITE) clock.add(Dot(ORIGIN)) ticks = Mobject(*[ Line(1.8*vect, 2*vect, color = GREY) for vect in compass_directions(12) ]) clock.add(ticks) hour_hand = Line(ORIGIN, UP) minute_hand = Line(ORIGIN, 1.5*UP) clock.add(hour_hand, minute_hand) clock.to_corner(UP+RIGHT) hour_hand.get_center = lambda : clock.get_center() minute_hand.get_center = lambda : clock.get_center() solution = ImageMobject( "Newton_brachistochrone_solution2", use_cache = False ) solution.stroke_width = 3 solution.highlight(GREY) solution.scale_to_fit_width(5) solution.to_corner(UP+RIGHT) newton = ImageMobject("Old_Newton", invert = False) newton.scale(0.8) phil_trans = TextMobject("Philosophical Transactions") rect = Rectangle(height = 6, width = 4.5, color = WHITE) rect.to_corner(UP+RIGHT) rect.shift(DOWN) phil_trans.scale_to_fit_width(0.8*rect.get_width()) phil_trans.next_to(Point(rect.get_top()), DOWN) new_solution = solution.copy() new_solution.scale_to_fit_width(phil_trans.get_width()) new_solution.next_to(phil_trans, DOWN, buff = 1) not_newton = TextMobject("-Totally not by Newton") not_newton.scale_to_fit_width(2.5) not_newton.next_to(new_solution, DOWN, aligned_edge = RIGHT) phil_trans.add(rect) newton_complaint = TextMobject([ "``I do not love to be", " \\emph{dunned} ", "and teased by foreigners''" ], size = "\\small") newton_complaint.to_edge(UP, buff = 0.2) dunned = newton_complaint.split()[1] dunned.highlight() dunned_def = TextMobject("(old timey term for making \\\\ demands on someone)") dunned_def.scale(0.7) dunned_def.next_to(phil_trans, LEFT) dunned_def.shift(2*UP) dunned_arrow = Arrow(dunned_def, dunned) johann = ImageMobject("Johann_Bernoulli2", invert = False) johann.scale(0.4) johann.to_edge(LEFT) johann.shift(DOWN) johann_quote = TextMobject("``I recognize the lion by his claw''") johann_quote.next_to(johann, UP, aligned_edge = LEFT) self.play(ApplyMethod(newton.to_edge, LEFT)) self.play(ShowCreation(clock)) kwargs = { "axis" : OUT, "rate_func" : smooth } self.play( Rotating(hour_hand, radians = -2*np.pi, **kwargs), Rotating(minute_hand, radians = -12*2*np.pi, **kwargs), run_time = 5 ) self.dither() self.clear() self.add(newton) clock.ingest_submobjects() self.play(Transform(clock, solution)) self.remove(clock) self.add(solution) self.dither() self.play( FadeIn(phil_trans), Transform(solution, new_solution) ) self.dither() self.play(ShimmerIn(not_newton)) phil_trans.add(solution, not_newton) self.dither() self.play(*map(ShimmerIn, newton_complaint.split())) self.dither() self.play( ShimmerIn(dunned_def), ShowCreation(dunned_arrow) ) self.dither() self.remove(dunned_def, dunned_arrow) self.play(FadeOut(newton_complaint)) self.remove(newton_complaint) self.play( FadeOut(newton), GrowFromCenter(johann) ) self.remove(newton) self.dither() self.play(ShimmerIn(johann_quote)) self.dither()
def construct(self): image = ImageMobject(os.path.join(RESOURCE_DIR, "dalembert_zoom")) image.scale_to_fit_width(2 * SPACE_WIDTH - 1) image.to_edge(UP, buff=MED_SMALL_BUFF) image.fade(0.15) rect = Rectangle( width=12, height=0.5, stroke_width=0, fill_opacity=0.3, fill_color=GREEN, ) rect.insert_n_anchor_points(20) rect.apply_function( lambda p: np.array([p[0], p[1] - 0.005 * p[0]**2, p[2]])) rect.rotate(0.012 * TAU) rect.move_to(image) rect.shift(0.15 * DOWN) words = TextMobject( "``Let", "$\\pi$", "be the", "circumference", "of a circle whose", "radius = 1''", ) words.highlight_by_tex_to_color_map({ "circumference": YELLOW, "radius": GREEN, }) words.next_to(image, DOWN) pi = words.get_part_by_tex("\\pi").copy() terms, generate_anims1, generate_anims2 = get_circle_drawing_terms( radius=1, positioning_func=lambda circ: circ.next_to(words, DOWN, buff=1.25)) circle, radius, one, decimal = terms unwrapped_perimeter = Line(ORIGIN, TAU * RIGHT) unwrapped_perimeter.match_style(circle) unwrapped_perimeter.next_to(circle, DOWN) brace = Brace(unwrapped_perimeter, UP, buff=SMALL_BUFF) perimeter = TexMobject( "\\pi\\epsilon\\rho\\iota\\mu\\epsilon\\tau\\rho\\text{o}\\varsigma", "\\text{ (perimeter)}", "=") perimeter.next_to(brace, UP, submobject_to_align=perimeter[1], buff=SMALL_BUFF) perimeter[0][0].highlight(GREEN) self.play(FadeInFromDown(image)) self.play(Write(words), GrowFromPoint(rect, rect.point_from_proportion(0.9))) self.wait() self.play(*generate_anims1()) self.play(*generate_anims2()) self.play(terms.shift, UP) self.play(pi.scale, 2, pi.shift, DOWN, pi.highlight, GREEN) self.wait() self.play( GrowFromCenter(brace), circle.set_stroke, YELLOW, 1, ReplacementTransform(circle.copy(), unwrapped_perimeter), decimal.scale, 1.25, decimal.next_to, perimeter[-1].get_right(), RIGHT, ReplacementTransform(pi, perimeter[0][0]), Write(perimeter), ) self.wait()