Esempio n. 1
0
    def construct(self):
        t_axis = NumberLine()
        theta_axis = NumberLine().rotate(np.pi / 2)
        theta_mob = TexMobject("\\theta(t)")
        t_mob = TexMobject("t")
        theta_mob.next_to(theta_axis, RIGHT)
        theta_mob.to_edge(UP)
        t_mob.next_to(t_axis, UP)
        t_mob.to_edge(RIGHT)
        graph = ParametricFunction(
            lambda t: 4 * t * RIGHT + 2 * smooth(t) * UP)
        line = Line(graph.points[0], graph.points[-1], color=WHITE)
        q_mark = TextMobject("?")
        q_mark.next_to(Point(graph.get_center()), LEFT)
        stars = Stars(color=BLACK)
        stars.scale(0.1).shift(q_mark.get_center())

        squiggle = ParametricFunction(lambda t: t * RIGHT + 0.2 * t * (5 - t) *
                                      (np.sin(t)**2) * UP,
                                      start=0,
                                      end=5)

        self.play(ShowCreation(t_axis), ShowCreation(theta_axis),
                  ShimmerIn(theta_mob), ShimmerIn(t_mob))
        self.play(ShimmerIn(q_mark), ShowCreation(graph))
        self.wait()
        self.play(Transform(q_mark, stars), Transform(graph, line))
        self.wait()
        self.play(Transform(graph, squiggle))
        self.wait()
Esempio n. 2
0
    def construct(self):
        t_axis = NumberLine()
        theta_axis = NumberLine().rotate(np.pi/2)
        theta_mob = TexMobject("\\theta(t)")
        t_mob = TexMobject("t")
        theta_mob.next_to(theta_axis, RIGHT)
        theta_mob.to_edge(UP)
        t_mob.next_to(t_axis, UP)
        t_mob.to_edge(RIGHT)
        graph = ParametricFunction(
            lambda t : 4*t*RIGHT + 2*smooth(t)*UP
        )
        line = Line(graph.points[0], graph.points[-1], color = WHITE)
        q_mark = TextMobject("?")
        q_mark.next_to(Point(graph.get_center()), LEFT)
        stars = Stars(color = BLACK)
        stars.scale(0.1).shift(q_mark.get_center())


        squiggle = ParametricFunction(
            lambda t : t*RIGHT + 0.2*t*(5-t)*(np.sin(t)**2)*UP,
            start = 0,
            end = 5
        )

        self.play(
            ShowCreation(t_axis),
            ShowCreation(theta_axis),
            ShimmerIn(theta_mob),
            ShimmerIn(t_mob)
        )
        self.play(
            ShimmerIn(q_mark),
            ShowCreation(graph)
        )
        self.dither()
        self.play(
            Transform(q_mark, stars),
            Transform(graph, line)
        )
        self.dither()
        self.play(Transform(graph, squiggle))
        self.dither()
Esempio n. 3
0
    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()
Esempio n. 4
0
    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()