def construct(self): logo = ImageMobject("LogoGeneration", invert = False) name_mob = TextMobject("3Blue1Brown").center() name_mob.highlight("grey") name_mob.shift(2*DOWN) self.add(name_mob, logo) new_text = TextMobject(["with ", "Steven Strogatz"]) new_text.next_to(name_mob, DOWN) self.play(*[ ShimmerIn(part) for part in new_text.split() ]) self.dither() with_word, steve = new_text.split() steve_copy = steve.copy().center().to_edge(UP) # logo.sort_points(lambda p : -np.linalg.norm(p)) sort_by_color(logo) self.play( Transform(steve, steve_copy), DelayByOrder(Transform(logo, Point())), FadeOut(with_word), FadeOut(name_mob), run_time = 3 )
def construct(self): words = TextMobject("Order 3 Pseudo-Hilbert Curve") words.highlight(GREEN) words.to_edge(UP) grid4 = Mobject(Grid(2, 2), Grid(4, 4, point_thickness=2)) grid8 = Grid(8, 8, point_thickness=1) order_3_curve = HilbertCurve(order=3) mini_curves = [ HilbertCurve(order=2).scale(0.5).shift(1.5 * vect) for vect in [LEFT + DOWN, LEFT + UP, RIGHT + UP, RIGHT + DOWN] ] self.add(words, grid4) self.dither() self.play(ShowCreation(grid8)) self.dither() self.play(*map(GrowFromCenter, mini_curves)) self.dither() self.clear() self.add(words, grid8, *mini_curves) self.play(*[ ApplyMethod(curve.rotate_in_place, np.pi, axis) for curve, axis in [(mini_curves[0], UP + RIGHT), (mini_curves[3], UP + LEFT)] ]) self.play(ShowCreation(order_3_curve, run_time=5)) self.dither()
def finite_analog(self, left_mob, arrow, right_mob): self.clear() self.add(left_mob, arrow, right_mob) ex = TextMobject("\\times") ex.highlight(RED) # ex.shift(arrow.get_center()) middle = TexMobject("\\sum_{n=0}^N 2^n \\equiv -1 \\mod 2^{N+1}") finite_analog = TextMobject("Finite analog") finite_analog.scale(0.8) brace = Brace(middle, UP) finite_analog.next_to(brace, UP) new_left = left_mob.copy().to_edge(LEFT) new_right = right_mob.copy().to_edge(RIGHT) left_arrow, right_arrow = [ Arrow(mob1.get_right()[0] * RIGHT, mob2.get_left()[0] * RIGHT, buff=0) for mob1, mob2 in [(new_left, middle), (middle, new_right)] ] for mob in ex, middle: mob.sort_points(np.linalg.norm) self.play(GrowFromCenter(ex)) self.wait() self.play(Transform(left_mob, new_left), Transform(arrow.copy(), left_arrow), DelayByOrder(Transform(ex, middle)), Transform(arrow, right_arrow), Transform(right_mob, new_right)) self.play(GrowFromCenter(brace), ShimmerIn(finite_analog)) self.wait() self.equivalence(left_mob, left_arrow, Mobject(middle, brace, finite_analog))
def construct(self): words = TextMobject("Order 2 Pseudo-Hilbert Curve") words.to_edge(UP, buff=0.3) words.highlight(GREEN) grid2 = Grid(2, 2) grid4 = Grid(4, 4, point_thickness=2) # order_1_curve = HilbertCurve(order = 1) # squaggle_curve = order_1_curve.copy().apply_function( # lambda (x, y, z) : (x + np.cos(3*y), y + np.sin(3*x), z) # ) # squaggle_curve.show() mini_curves = [ HilbertCurve(order=1).scale(0.5).shift(1.5 * vect) for vect in [LEFT + DOWN, LEFT + UP, RIGHT + UP, RIGHT + DOWN] ] last_curve = mini_curves[0] naive_curve = Mobject(last_curve) for mini_curve in mini_curves[1:]: line = Line(last_curve.points[-1], mini_curve.points[0]) naive_curve.add(line, mini_curve) last_curve = mini_curve naive_curve.ingest_sub_mobjects() naive_curve.gradient_highlight(RED, GREEN) order_2_curve = HilbertCurve(order=2) self.add(words, grid2) self.dither() self.play(ShowCreation(grid4)) self.play(*[ShowCreation(mini_curve) for mini_curve in mini_curves]) self.dither() self.play(ShowCreation(naive_curve, run_time=5)) self.remove(*mini_curves) self.dither() self.play(Transform(naive_curve, order_2_curve)) self.dither()
class LogoGeneration(Scene): CONFIG = { "radius" : 1.5, "inner_radius_ratio" : 0.55, "circle_density" : 100, "circle_blue" : "skyblue", "circle_brown" : DARK_BROWN, "circle_repeats" : 5, "sphere_density" : 50, "sphere_blue" : DARK_BLUE, "sphere_brown" : LIGHT_BROWN, "interpolation_factor" : 0.3, "frame_duration" : 0.03, "run_time" : 3, } def construct(self): digest_config(self, {}) ## Usually shouldn't need this... self.frame_duration = self.CONFIG["frame_duration"] ## digest_config(self, {}) circle = Circle( density = self.circle_density, color = self.circle_blue ) circle.repeat(self.circle_repeats) circle.scale(self.radius) sphere = Sphere( density = self.sphere_density, color = self.sphere_blue ) sphere.scale(self.radius) sphere.rotate(-np.pi / 7, [1, 0, 0]) sphere.rotate(-np.pi / 7) iris = Mobject() iris.interpolate( circle, sphere, self.interpolation_factor ) for mob, color in [(iris, self.sphere_brown), (circle, self.circle_brown)]: mob.highlight(color, lambda (x, y, z) : x < 0 and y > 0) mob.highlight( "black", lambda point: np.linalg.norm(point) < \ self.inner_radius_ratio*self.radius ) self.name_mob = TextMobject("3Blue1Brown").center() self.name_mob.highlight("grey") self.name_mob.shift(2*DOWN) self.play(Transform( circle, iris, run_time = self.run_time )) self.frames = drag_pixels(self.frames) self.save_image(IMAGE_DIR) self.logo = MobjectFromPixelArray(self.frames[-1]) self.add(self.name_mob) self.wait()
def show_equation(self): equation = TexMobject([ "\\left(\\dfrac{1}{\\phantom{v_air}}\\right)", "\\sin(\\theta_1)", "=", "\\left(\\dfrac{1}{\\phantom{v_water}}\\right)", "\\sin(\\theta_2)" ]) equation.to_corner(UP + RIGHT) frac1, sin1, equals, frac2, sin2 = equation.split() v_air, v_water = [ TexMobject("v_{\\text{%s}}" % s, size="\\Large") for s in "air", "water" ] v_air.next_to(Point(frac1.get_center()), DOWN) v_water.next_to(Point(frac2.get_center()), DOWN) frac1.add(v_air) frac2.add(v_water) f1, f2 = [TexMobject("F_%d" % d, size="\\Large") for d in 1, 2] f1.next_to(sin1, LEFT) f2.next_to(equals, RIGHT) sin2_start = sin2.copy().next_to(f2, RIGHT) bar1 = TexMobject("\\dfrac{\\qquad}{\\qquad}") bar2 = bar1.copy() bar1.next_to(sin1, DOWN) bar2.next_to(sin2, DOWN) v_air_copy = v_air.copy().next_to(bar1, DOWN) v_water_copy = v_water.copy().next_to(bar2, DOWN) bars = Mobject(bar1, bar2) new_eq = equals.copy().center().shift(bars.get_center()) snells = TextMobject("Snell's Law") snells.highlight(YELLOW) snells.shift(new_eq.get_center()[0] * RIGHT) snells.shift(UP) anims = [] for mob in f1, sin1, equals, f2, sin2_start: anims.append(ShimmerIn(mob)) self.play(*anims) self.wait() for f, frac in (f1, frac1), (f2, frac2): target = frac.copy().ingest_submobjects() also = [] if f is f2: also.append(Transform(sin2_start, sin2)) sin2 = sin2_start self.play(Transform(f, target), *also) self.remove(f) self.add(frac) self.wait() self.play(FadeOut(frac1), FadeOut(frac2), Transform(v_air, v_air_copy), Transform(v_water, v_water_copy), ShowCreation(bars), Transform(equals, new_eq)) self.wait() frac1 = Mobject(sin1, bar1, v_air) frac2 = Mobject(sin2, bar2, v_water) for frac, vect in (frac1, LEFT), (frac2, RIGHT): self.play(ApplyMethod(frac.next_to, equals, vect)) self.wait() self.play(ShimmerIn(snells)) self.wait()
def construct(self): point_a = 3*LEFT+3*UP point_b = 1.5*RIGHT+3*DOWN midpoint = ORIGIN lines, arcs, thetas = [], [], [] counter = it.count(1) for point in point_a, point_b: line = Line(point, midpoint, color = RED_D) angle = np.pi/2-np.abs(np.arctan(line.get_slope())) arc = Arc(angle, radius = 0.5).rotate(np.pi/2) if point is point_b: arc.rotate(np.pi) line.reverse_points() theta = TexMobject("\\theta_%d"%counter.next()) theta.scale(0.5) theta.shift(2*arc.get_center()) arc.shift(midpoint) theta.shift(midpoint) lines.append(line) arcs.append(arc) thetas.append(theta) vert_line = Line(2*UP, 2*DOWN) vert_line.shift(midpoint) path = Mobject(*lines).ingest_submobjects() glass = Region(lambda x, y : y < 0, color = BLUE_E) self.add(glass) equation = TexMobject([ "\\dfrac{\\sin(\\theta_1)}{v_{\\text{air}}}", "=", "\\dfrac{\\sin(\\theta_2)}{v_{\\text{water}}}", ]) equation.to_corner(UP+RIGHT) exp1, equals, exp2 = equation.split() snells_law = TextMobject("Snell's Law:") snells_law.highlight(YELLOW) snells_law.to_edge(UP) self.play(ShimmerIn(snells_law)) self.dither() self.play(ShowCreation(path)) self.play(self.photon_run_along_path(path)) self.dither() self.play(ShowCreation(vert_line)) self.play(*map(ShowCreation, arcs)) self.play(*map(GrowFromCenter, thetas)) self.dither() self.play(ShimmerIn(exp1)) self.dither() self.play(*map(ShimmerIn, [equals, exp2])) self.dither()
def construct(self): point_a = 3*LEFT+3*UP point_b = 1.5*RIGHT+3*DOWN midpoint = ORIGIN lines, arcs, thetas = [], [], [] counter = it.count(1) for point in point_a, point_b: line = Line(point, midpoint, color = RED_D) angle = np.pi/2-np.abs(np.arctan(line.get_slope())) arc = Arc(angle, radius = 0.5).rotate(np.pi/2) if point is point_b: arc.rotate(np.pi) line.reverse_points() theta = TexMobject("\\theta_%d"%counter.next()) theta.scale(0.5) theta.shift(2*arc.get_center()) arc.shift(midpoint) theta.shift(midpoint) lines.append(line) arcs.append(arc) thetas.append(theta) vert_line = Line(2*UP, 2*DOWN) vert_line.shift(midpoint) path = Mobject(*lines).ingest_submobjects() glass = Region(lambda x, y : y < 0, color = BLUE_E) self.add(glass) equation = TexMobject([ "\\dfrac{\\sin(\\theta_1)}{v_{\\text{air}}}", "=", "\\dfrac{\\sin(\\theta_2)}{v_{\\text{water}}}", ]) equation.to_corner(UP+RIGHT) exp1, equals, exp2 = equation.split() snells_law = TextMobject("Snell's Law:") snells_law.highlight(YELLOW) snells_law.to_edge(UP) self.play(ShimmerIn(snells_law)) self.wait() self.play(ShowCreation(path)) self.play(self.photon_run_along_path(path)) self.wait() self.play(ShowCreation(vert_line)) self.play(*map(ShowCreation, arcs)) self.play(*map(GrowFromCenter, thetas)) self.wait() self.play(ShimmerIn(exp1)) self.wait() self.play(*map(ShimmerIn, [equals, exp2])) self.wait()
def construct(self): horiz_radius = 5 vert_radius = 3 vert_axis = NumberLine(numerical_radius=vert_radius) vert_axis.rotate(np.pi / 2) vert_axis.shift(horiz_radius * LEFT) horiz_axis = NumberLine(numerical_radius=5, numbers_with_elongated_ticks=[]) axes = Mobject(horiz_axis, vert_axis) graph = FunctionGraph(lambda x: 0.4 * (x - 2) * (x + 2) + 3, x_min=-2, x_max=2, density=3 * DEFAULT_POINT_DENSITY_1D) graph.stretch_to_fit_width(2 * horiz_radius) graph.highlight(YELLOW) min_point = Dot(graph.get_bottom()) nature_finds = TextMobject("Nature finds this point") nature_finds.scale(0.5) nature_finds.highlight(GREEN) nature_finds.shift(2 * RIGHT + 3 * UP) arrow = Arrow(nature_finds.get_bottom(), min_point, color=GREEN) side_words_start = TextMobject("Parameter describing") top_words, last_side_words = [ map(TextMobject, pair) for pair in [("Light's travel time", "Potential energy"), ("path", "mechanical state")] ] for word in top_words + last_side_words + [side_words_start]: word.scale(0.7) side_words_start.next_to(horiz_axis, DOWN) side_words_start.to_edge(RIGHT) for words in top_words: words.next_to(vert_axis, UP) words.to_edge(LEFT) for words in last_side_words: words.next_to(side_words_start, DOWN) for words in top_words[1], last_side_words[1]: words.highlight(RED) self.add(axes, top_words[0], side_words_start, last_side_words[0]) self.play(ShowCreation(graph)) self.play(ShimmerIn(nature_finds), ShowCreation(arrow), ShowCreation(min_point)) self.dither() self.play(FadeOut(top_words[0]), FadeOut(last_side_words[0]), GrowFromCenter(top_words[1]), GrowFromCenter(last_side_words[1])) self.dither(3)
def construct(self): morty = Mortimer() morty.next_to(ORIGIN, DOWN) n_patrons = len(self.specific_patrons) special_thanks = TextMobject("Special thanks") special_thanks.highlight(YELLOW) special_thanks.to_edge(UP) patreon_logo = PatreonLogo() patreon_logo.next_to(morty, UP, buff=MED_LARGE_BUFF) patrons = map(TextMobject, self.specific_patrons) patron_groups = [] index = 0 counter = 0 while index < len(patrons): next_index = index + self.patron_group_size group = VGroup(*patrons[index:next_index]) group.arrange_submobjects(DOWN, aligned_edge=LEFT) if counter % 2 == 0: group.to_edge(LEFT) else: group.to_edge(RIGHT) patron_groups.append(group) index = next_index counter += 1 self.play( morty.change_mode, "gracious", DrawBorderThenFill(patreon_logo), ) self.play(Write(special_thanks, run_time=1)) for i, group in enumerate(patron_groups): anims = [ FadeIn( group, run_time=2, submobject_mode="lagged_start", lag_factor=4, ), morty.look_at, group.get_top(), ] if i >= 2: anims.append(FadeOut(patron_groups[i - 2])) self.play(*anims) self.play(morty.look_at, group.get_bottom()) self.play(Blink(morty))
def construct(self): mathy, bubble = get_mathy_and_bubble() bubble.write("For a 256x256 pixel array...") words = TextMobject("Order 8 Pseudo-Hilbert Curve") words.highlight(GREEN) words.to_edge(UP, buff=0.3) curve = HilbertCurve(order=8) self.add(mathy, bubble) self.play(ShimmerIn(bubble.content)) self.dither() self.clear() self.add(words) self.play(ShowCreation(curve, run_time=7, rate_func=None)) self.dither()
def finite_analog(self, left_mob, arrow, right_mob): self.clear() self.add(left_mob, arrow, right_mob) ex = TextMobject("\\times") ex.highlight(RED) # ex.shift(arrow.get_center()) middle = TexMobject( "\\sum_{n=0}^N 2^n \\equiv -1 \\mod 2^{N+1}" ) finite_analog = TextMobject("Finite analog") finite_analog.scale(0.8) brace = Brace(middle, UP) finite_analog.next_to(brace, UP) new_left = left_mob.copy().to_edge(LEFT) new_right = right_mob.copy().to_edge(RIGHT) left_arrow, right_arrow = [ Arrow( mob1.get_right()[0]*RIGHT, mob2.get_left()[0]*RIGHT, buff = 0 ) for mob1, mob2 in [ (new_left, middle), (middle, new_right) ] ] for mob in ex, middle: mob.sort_points(np.linalg.norm) self.play(GrowFromCenter(ex)) self.dither() self.play( Transform(left_mob, new_left), Transform(arrow.copy(), left_arrow), DelayByOrder(Transform(ex, middle)), Transform(arrow, right_arrow), Transform(right_mob, new_right) ) self.play( GrowFromCenter(brace), ShimmerIn(finite_analog) ) self.dither() self.equivalence( left_mob, left_arrow, Mobject(middle, brace, finite_analog) )
def construct(self): morty = Mortimer() morty.next_to(ORIGIN, DOWN) n_patrons = len(self.specific_patrons) special_thanks = TextMobject("Special thanks") special_thanks.highlight(YELLOW) special_thanks.to_edge(UP) patreon_logo = PatreonLogo() patreon_logo.next_to(morty, UP, buff=MED_LARGE_BUFF) patrons = map(TextMobject, self.specific_patrons) num_groups = float(len(patrons)) / self.patron_group_size proportion_range = np.linspace(0, 1, num_groups + 1) indices = (len(patrons) * proportion_range).astype('int') patron_groups = [ VGroup(*patrons[i:j]) for i, j in zip(indices, indices[1:]) ] for i, group in enumerate(patron_groups): group.arrange_submobjects(DOWN, aligned_edge=LEFT) group.scale(self.patron_scale_val) group.to_edge(LEFT if i % 2 == 0 else RIGHT) self.play( morty.change_mode, "gracious", DrawBorderThenFill(patreon_logo), ) self.play(Write(special_thanks, run_time=1)) print len(patron_groups) for i, group in enumerate(patron_groups): anims = [ FadeIn( group, run_time=2, submobject_mode="lagged_start", lag_factor=4, ), morty.look_at, group.get_top(), ] if i >= 2: anims.append(FadeOut(patron_groups[i - 2])) self.play(*anims) self.play(morty.look_at, group.get_bottom()) self.play(Blink(morty))
def construct(self): morty = Mortimer() morty.next_to(ORIGIN, DOWN) n_patrons = len(self.specific_patrons) special_thanks = TextMobject("Special thanks") special_thanks.highlight(YELLOW) special_thanks.to_edge(UP) patreon_logo = PatreonLogo() patreon_logo.next_to(morty, UP, buff=MED_LARGE_BUFF) left_patrons = VGroup( *map(TextMobject, self.specific_patrons[:n_patrons / 2])) right_patrons = VGroup( *map(TextMobject, self.specific_patrons[n_patrons / 2:])) for patrons in left_patrons, right_patrons: patrons.arrange_submobjects(DOWN, aligned_edge=LEFT, buff=1.5 * MED_SMALL_BUFF) all_patrons = VGroup(left_patrons, right_patrons) all_patrons.scale(0.7) for patrons, vect in (left_patrons, LEFT), (right_patrons, RIGHT): patrons.to_corner(UP + vect, buff=MED_SMALL_BUFF) shift_distance = max(0, 1 - SPACE_HEIGHT - all_patrons.get_bottom()[1]) velocity = shift_distance / 9.0 def get_shift_anim(): return ApplyMethod(all_patrons.shift, velocity * UP, rate_func=None) self.play( morty.change_mode, "gracious", DrawBorderThenFill(patreon_logo), ) self.play(Write(special_thanks, run_time=1)) self.play(Write(left_patrons), morty.look_at, left_patrons) self.play(Write(right_patrons), morty.look_at, right_patrons) self.play(Blink(morty), get_shift_anim()) for patrons in left_patrons, right_patrons: for index in 0, -1: self.play(morty.look_at, patrons[index], get_shift_anim()) self.play(get_shift_anim())
def construct(self): mathy, bubble = get_mathy_and_bubble() bubble.write("For a 256x256 pixel array...") words = TextMobject("Order 8 Pseudo-Hilbert Curve") words.highlight(GREEN) words.to_edge(UP, buff = 0.3) curve = HilbertCurve(order = 8) self.add(mathy, bubble) self.play(ShimmerIn(bubble.content)) self.dither() self.clear() self.add(words) self.play(ShowCreation( curve, run_time = 7, rate_func = None )) self.dither()
def construct(self): digest_config(self, {}) ## Usually shouldn't need this... self.frame_duration = self.DEFAULT_CONFIG["frame_duration"] ## digest_config(self, {}) circle = Circle( density = self.circle_density, color = self.circle_blue ) circle.repeat(self.circle_repeats) circle.scale(self.radius) sphere = Sphere( density = self.sphere_density, color = self.sphere_blue ) sphere.scale(self.radius) sphere.rotate(-np.pi / 7, [1, 0, 0]) sphere.rotate(-np.pi / 7) iris = Mobject() iris.interpolate( circle, sphere, self.interpolation_factor ) for mob, color in [(iris, self.sphere_brown), (circle, self.circle_brown)]: mob.highlight(color, lambda (x, y, z) : x < 0 and y > 0) mob.highlight( "black", lambda point: np.linalg.norm(point) < \ self.inner_radius_ratio*self.radius ) name = TextMobject("3Blue1Brown").center() name.highlight("grey") name.shift(2*DOWN) self.play(Transform( circle, iris, run_time = self.run_time )) self.frames = drag_pixels(self.frames) self.save_image(IMAGE_DIR) self.show_frame() self.add(name) self.dither() print "Dragging pixels..."
def get_corner_numbers(self, value, symbol): value_mob = TextMobject(value) width = self.get_width() / self.card_width_to_corner_num_width height = self.get_height() / self.card_height_to_corner_num_height value_mob.scale_to_fit_width(width) value_mob.stretch_to_fit_height(height) value_mob.next_to(self.get_corner(UP + LEFT), DOWN + RIGHT, buff=MED_LARGE_BUFF * width) value_mob.highlight(symbol.get_color()) corner_symbol = symbol.copy() corner_symbol.scale_to_fit_width(width) corner_symbol.next_to(value_mob, DOWN, buff=MED_SMALL_BUFF * width) corner_group = VGroup(value_mob, corner_symbol) opposite_corner_group = corner_group.copy() opposite_corner_group.rotate(np.pi, about_point=self.get_center()) return VGroup(corner_group, opposite_corner_group)
def label(self, text, time = 5): mob = TextMobject(text) mob.scale(1.5) mob.to_edge(UP) rectangle = region_from_polygon_vertices(*[ mob.get_corner(vect) + 0.3*vect for vect in [ UP+RIGHT, UP+LEFT, DOWN+LEFT, DOWN+RIGHT ] ]) mob.highlight(self.text_color) rectangle = MobjectFromRegion(rectangle, "#111111") rectangle.point_thickness = 3 self.add(rectangle, mob) self.dither(time) self.remove(mob, rectangle)
def construct(self): words = TextMobject("Order 2 Pseudo-Hilbert Curve") words.to_edge(UP, buff = 0.3) words.highlight(GREEN) grid2 = Grid(2, 2) grid4 = Grid(4, 4, stroke_width = 2) # order_1_curve = HilbertCurve(order = 1) # squaggle_curve = order_1_curve.copy().apply_function( # lambda (x, y, z) : (x + np.cos(3*y), y + np.sin(3*x), z) # ) # squaggle_curve.show() mini_curves = [ HilbertCurve(order = 1).scale(0.5).shift(1.5*vect) for vect in [ LEFT+DOWN, LEFT+UP, RIGHT+UP, RIGHT+DOWN ] ] last_curve = mini_curves[0] naive_curve = Mobject(last_curve) for mini_curve in mini_curves[1:]: line = Line(last_curve.points[-1], mini_curve.points[0]) naive_curve.add(line, mini_curve) last_curve = mini_curve naive_curve.ingest_submobjects() naive_curve.gradient_highlight(RED, GREEN) order_2_curve = HilbertCurve(order = 2) self.add(words, grid2) self.dither() self.play(ShowCreation(grid4)) self.play(*[ ShowCreation(mini_curve) for mini_curve in mini_curves ]) self.dither() self.play(ShowCreation(naive_curve, run_time = 5)) self.remove(*mini_curves) self.dither() self.play(Transform(naive_curve, order_2_curve)) self.dither()
def construct(self): logo = ImageMobject("LogoGeneration", invert=False) name_mob = TextMobject("3Blue1Brown").center() name_mob.highlight("grey") name_mob.shift(2 * DOWN) self.add(name_mob, logo) new_text = TextMobject(["with ", "Steven Strogatz"]) new_text.next_to(name_mob, DOWN) self.play(*[ShimmerIn(part) for part in new_text.split()]) self.dither() with_word, steve = new_text.split() steve_copy = steve.copy().center().to_edge(UP) # logo.sort_points(lambda p : -np.linalg.norm(p)) sort_by_color(logo) self.play(Transform(steve, steve_copy), DelayByOrder(Transform(logo, Point())), FadeOut(with_word), FadeOut(name_mob), run_time=3)
def equivalence(self, left_mob, arrow, right_mob): self.clear() self.add(left_mob, arrow, right_mob) words = TextMobject("is equivalent to") words.shift(0.25 * LEFT) words.highlight(BLUE) new_left = left_mob.copy().shift(RIGHT) new_right = right_mob.copy() new_right.shift( (words.get_right()[0]-\ right_mob.get_left()[0]+\ 0.5 )*RIGHT ) for mob in arrow, words: mob.sort_points(np.linalg.norm) self.play(ApplyMethod(left_mob.shift, RIGHT), Transform(arrow, words), ApplyMethod(right_mob.to_edge, RIGHT)) self.wait()
def equivalence(self, left_mob, arrow, right_mob): self.clear() self.add(left_mob, arrow, right_mob) words = TextMobject("is equivalent to") words.shift(0.25*LEFT) words.highlight(BLUE) new_left = left_mob.copy().shift(RIGHT) new_right = right_mob.copy() new_right.shift( (words.get_right()[0]-\ right_mob.get_left()[0]+\ 0.5 )*RIGHT ) for mob in arrow, words: mob.sort_points(np.linalg.norm) self.play( ApplyMethod(left_mob.shift, RIGHT), Transform(arrow, words), ApplyMethod(right_mob.to_edge, RIGHT) ) self.dither()
def construct(self): words = TextMobject("Order 3 Pseudo-Hilbert Curve") words.highlight(GREEN) words.to_edge(UP) grid4 = Mobject( Grid(2, 2), Grid(4, 4, stroke_width = 2) ) grid8 = Grid(8, 8, stroke_width = 1) order_3_curve = HilbertCurve(order = 3) mini_curves = [ HilbertCurve(order = 2).scale(0.5).shift(1.5*vect) for vect in [ LEFT+DOWN, LEFT+UP, RIGHT+UP, RIGHT+DOWN ] ] self.add(words, grid4) self.dither() self.play(ShowCreation(grid8)) self.dither() self.play(*map(GrowFromCenter, mini_curves)) self.dither() self.clear() self.add(words, grid8, *mini_curves) self.play(*[ ApplyMethod(curve.rotate_in_place, np.pi, axis) for curve, axis in [ (mini_curves[0], UP+RIGHT), (mini_curves[3], UP+LEFT) ] ]) self.play(ShowCreation(order_3_curve, run_time = 5)) self.dither()
def get_corner_numbers(self, value, symbol): value_mob = TextMobject(value) width = self.get_width()/self.card_width_to_corner_num_width height = self.get_height()/self.card_height_to_corner_num_height value_mob.scale_to_fit_width(width) value_mob.stretch_to_fit_height(height) value_mob.next_to( self.get_corner(UP+LEFT), DOWN+RIGHT, buff = MED_LARGE_BUFF*width ) value_mob.highlight(symbol.get_color()) corner_symbol = symbol.copy() corner_symbol.scale_to_fit_width(width) corner_symbol.next_to( value_mob, DOWN, buff = MED_SMALL_BUFF*width ) corner_group = VGroup(value_mob, corner_symbol) opposite_corner_group = corner_group.copy() opposite_corner_group.rotate( np.pi, about_point = self.get_center() ) return VGroup(corner_group, opposite_corner_group)
def get_author(self, quote): author = TextMobject("-" + self.author) author.next_to(quote, DOWN) author.highlight(YELLOW) return author
def construct(self): morty = Mortimer() morty.next_to(ORIGIN, DOWN) n_patrons = len(self.specific_patrons) special_thanks = TextMobject("Special thanks") special_thanks.highlight(YELLOW) special_thanks.to_edge(UP) patreon_logo = PatreonLogo() patreon_logo.next_to(morty, UP, buff = MED_LARGE_BUFF) left_patrons = VGroup(*map(TextMobject, self.specific_patrons[:n_patrons/2] )) right_patrons = VGroup(*map(TextMobject, self.specific_patrons[n_patrons/2:] )) for patrons in left_patrons, right_patrons: patrons.arrange_submobjects( DOWN, aligned_edge = LEFT, buff = 1.5*MED_SMALL_BUFF ) all_patrons = VGroup(left_patrons, right_patrons) all_patrons.scale(self.patron_scale_val) for patrons, vect in (left_patrons, LEFT), (right_patrons, RIGHT): patrons.to_edge(vect, buff = MED_SMALL_BUFF) if patrons.get_height() > 2*SPACE_HEIGHT - LARGE_BUFF: patrons.to_edge(UP, buff = MED_SMALL_BUFF) shift_distance = max( 0, (all_patrons.get_height() - 2*SPACE_HEIGHT) ) if shift_distance > 0: shift_distance += 1 velocity = shift_distance/9.0 def get_shift_anim(): return ApplyMethod( all_patrons.shift, velocity*UP, rate_func = None ) self.play( morty.change_mode, "gracious", DrawBorderThenFill(patreon_logo), ) self.play(Write(special_thanks, run_time = 1)) self.play( Write(left_patrons), morty.look_at, left_patrons ) self.play( Write(right_patrons), morty.look_at, right_patrons ) self.play(Blink(morty), get_shift_anim()) for patrons in left_patrons, right_patrons: for index in 0, -1: self.play( morty.look_at, patrons[index], get_shift_anim() ) self.play(get_shift_anim())
def construct(self): horiz_radius = 5 vert_radius = 3 vert_axis = NumberLine(numerical_radius = vert_radius) vert_axis.rotate(np.pi/2) vert_axis.shift(horiz_radius*LEFT) horiz_axis = NumberLine( numerical_radius = 5, numbers_with_elongated_ticks = [] ) axes = Mobject(horiz_axis, vert_axis) graph = FunctionGraph( lambda x : 0.4*(x-2)*(x+2)+3, x_min = -2, x_max = 2, density = 3*DEFAULT_POINT_DENSITY_1D ) graph.stretch_to_fit_width(2*horiz_radius) graph.highlight(YELLOW) min_point = Dot(graph.get_bottom()) nature_finds = TextMobject("Nature finds this point") nature_finds.scale(0.5) nature_finds.highlight(GREEN) nature_finds.shift(2*RIGHT+3*UP) arrow = Arrow( nature_finds.get_bottom(), min_point, color = GREEN ) side_words_start = TextMobject("Parameter describing") top_words, last_side_words = [ map(TextMobject, pair) for pair in [ ("Light's travel time", "Potential energy"), ("path", "mechanical state") ] ] for word in top_words + last_side_words + [side_words_start]: word.scale(0.7) side_words_start.next_to(horiz_axis, DOWN) side_words_start.to_edge(RIGHT) for words in top_words: words.next_to(vert_axis, UP) words.to_edge(LEFT) for words in last_side_words: words.next_to(side_words_start, DOWN) for words in top_words[1], last_side_words[1]: words.highlight(RED) self.add( axes, top_words[0], side_words_start, last_side_words[0] ) self.play(ShowCreation(graph)) self.play( ShimmerIn(nature_finds), ShowCreation(arrow), ShowCreation(min_point) ) self.dither() self.play( FadeOut(top_words[0]), FadeOut(last_side_words[0]), GrowFromCenter(top_words[1]), GrowFromCenter(last_side_words[1]) ) self.dither(3)
def construct(self): word = TextMobject(["Bra", "chis", "to", "chrone"]) original_word = word.copy() dots = [] for part in word.split(): if dots: part.next_to(dots[-1], buff = 0.06) dot = TexMobject("\\cdot") dot.next_to(part, buff = 0.06) dots.append(dot) dots = Mobject(*dots[:-1]) dots.shift(0.1*DOWN) Mobject(word, dots).center() overbrace1 = Brace(Mobject(*word.split()[:-1]), UP) overbrace2 = Brace(word.split()[-1], UP) shortest = TextMobject("Shortest") shortest.next_to(overbrace1, UP) shortest.highlight(YELLOW) time = TextMobject("Time") time.next_to(overbrace2, UP) time.highlight(YELLOW) chrono_example = TextMobject(""" As in ``Chronological'' \\\\ or ``Synchronize'' """) chrono_example.scale(0.5) chrono_example.to_edge(RIGHT) chrono_example.shift(2*UP) chrono_example.highlight(BLUE_D) chrono_arrow = Arrow( word.get_right(), chrono_example.get_bottom(), color = BLUE_D ) brachy_example = TextMobject("As in . . . brachydactyly?") brachy_example.scale(0.5) brachy_example.to_edge(LEFT) brachy_example.shift(2*DOWN) brachy_example.highlight(GREEN) brachy_arrow = Arrow( word.get_left(), brachy_example.get_top(), color = GREEN ) pronunciation = TextMobject(["/br", "e", "kist","e","kr$\\bar{o}$n/"]) pronunciation.split()[1].rotate_in_place(np.pi) pronunciation.split()[3].rotate_in_place(np.pi) pronunciation.scale(0.7) pronunciation.shift(DOWN) latin = TextMobject(list("Latin")) greek = TextMobject(list("Greek")) for mob in latin, greek: mob.to_edge(LEFT) question_mark = TextMobject("?").next_to(greek, buff = 0.1) stars = Stars().highlight(BLACK) stars.scale(0.5).shift(question_mark.get_center()) self.play(Transform(original_word, word), ShowCreation(dots)) self.play(ShimmerIn(pronunciation)) self.dither() self.play( GrowFromCenter(overbrace1), GrowFromCenter(overbrace2) ) self.dither() self.play(ShimmerIn(latin)) self.play(FadeIn(question_mark)) self.play(Transform( latin, greek, path_func = counterclockwise_path() )) self.dither() self.play(Transform(question_mark, stars)) self.remove(stars) self.dither() self.play(ShimmerIn(shortest)) self.play(ShimmerIn(time)) for ex, ar in [(chrono_example, chrono_arrow), (brachy_example, brachy_arrow)]: self.play( ShowCreation(ar), ShimmerIn(ex) ) self.dither()
def show_equation(self): equation = TexMobject([ "\\left(\\dfrac{1}{\\phantom{v_air}}\\right)", "\\sin(\\theta_1)", "=", "\\left(\\dfrac{1}{\\phantom{v_water}}\\right)", "\\sin(\\theta_2)" ]) equation.to_corner(UP+RIGHT) frac1, sin1, equals, frac2, sin2 = equation.split() v_air, v_water = [ TexMobject("v_{\\text{%s}}"%s, size = "\\Large") for s in "air", "water" ] v_air.next_to(Point(frac1.get_center()), DOWN) v_water.next_to(Point(frac2.get_center()), DOWN) frac1.add(v_air) frac2.add(v_water) f1, f2 = [ TexMobject("F_%d"%d, size = "\\Large") for d in 1, 2 ] f1.next_to(sin1, LEFT) f2.next_to(equals, RIGHT) sin2_start = sin2.copy().next_to(f2, RIGHT) bar1 = TexMobject("\\dfrac{\\qquad}{\\qquad}") bar2 = bar1.copy() bar1.next_to(sin1, DOWN) bar2.next_to(sin2, DOWN) v_air_copy = v_air.copy().next_to(bar1, DOWN) v_water_copy = v_water.copy().next_to(bar2, DOWN) bars = Mobject(bar1, bar2) new_eq = equals.copy().center().shift(bars.get_center()) snells = TextMobject("Snell's Law") snells.highlight(YELLOW) snells.shift(new_eq.get_center()[0]*RIGHT) snells.shift(UP) anims = [] for mob in f1, sin1, equals, f2, sin2_start: anims.append(ShimmerIn(mob)) self.play(*anims) self.dither() for f, frac in (f1, frac1), (f2, frac2): target = frac.copy().ingest_submobjects() also = [] if f is f2: also.append(Transform(sin2_start, sin2)) sin2 = sin2_start self.play(Transform(f, target), *also) self.remove(f) self.add(frac) self.dither() self.play( FadeOut(frac1), FadeOut(frac2), Transform(v_air, v_air_copy), Transform(v_water, v_water_copy), ShowCreation(bars), Transform(equals, new_eq) ) self.dither() frac1 = Mobject(sin1, bar1, v_air) frac2 = Mobject(sin2, bar2, v_water) for frac, vect in (frac1, LEFT), (frac2, RIGHT): self.play(ApplyMethod( frac.next_to, equals, vect )) self.dither() self.play(ShimmerIn(snells)) self.dither()
def construct(self): word = TextMobject(["Bra", "chis", "to", "chrone"]) original_word = word.copy() dots = [] for part in word.split(): if dots: part.next_to(dots[-1], buff=0.06) dot = TexMobject("\\cdot") dot.next_to(part, buff=0.06) dots.append(dot) dots = Mobject(*dots[:-1]) dots.shift(0.1 * DOWN) Mobject(word, dots).center() overbrace1 = Brace(Mobject(*word.split()[:-1]), UP) overbrace2 = Brace(word.split()[-1], UP) shortest = TextMobject("Shortest") shortest.next_to(overbrace1, UP) shortest.highlight(YELLOW) time = TextMobject("Time") time.next_to(overbrace2, UP) time.highlight(YELLOW) chrono_example = TextMobject(""" As in ``Chronological'' \\\\ or ``Synchronize'' """) chrono_example.scale(0.5) chrono_example.to_edge(RIGHT) chrono_example.shift(2 * UP) chrono_example.highlight(BLUE_D) chrono_arrow = Arrow(word.get_right(), chrono_example.get_bottom(), color=BLUE_D) brachy_example = TextMobject("As in . . . brachydactyly?") brachy_example.scale(0.5) brachy_example.to_edge(LEFT) brachy_example.shift(2 * DOWN) brachy_example.highlight(GREEN) brachy_arrow = Arrow(word.get_left(), brachy_example.get_top(), color=GREEN) pronunciation = TextMobject( ["/br", "e", "kist", "e", "kr$\\bar{o}$n/"]) pronunciation.split()[1].rotate_in_place(np.pi) pronunciation.split()[3].rotate_in_place(np.pi) pronunciation.scale(0.7) pronunciation.shift(DOWN) latin = TextMobject(list("Latin")) greek = TextMobject(list("Greek")) for mob in latin, greek: mob.to_edge(LEFT) question_mark = TextMobject("?").next_to(greek, buff=0.1) stars = Stars().highlight(BLACK) stars.scale(0.5).shift(question_mark.get_center()) self.play(Transform(original_word, word), ShowCreation(dots)) self.play(ShimmerIn(pronunciation)) self.dither() self.play(GrowFromCenter(overbrace1), GrowFromCenter(overbrace2)) self.dither() self.play(ShimmerIn(latin)) self.play(FadeIn(question_mark)) self.play(Transform(latin, greek, path_func=counterclockwise_path())) self.dither() self.play(Transform(question_mark, stars)) self.remove(stars) self.dither() self.play(ShimmerIn(shortest)) self.play(ShimmerIn(time)) for ex, ar in [(chrono_example, chrono_arrow), (brachy_example, brachy_arrow)]: self.play(ShowCreation(ar), ShimmerIn(ex)) self.dither()