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Added edits to intro scene
This commit is contained in:
Grant Sanderson
parent
1ba56c3bba
commit
99783d77a0
1 changed files with 76 additions and 57 deletions
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@ -214,6 +214,36 @@ class ScaleLightSources(Transform):
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###
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class ThinkAboutPondScene(PiCreatureScene):
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CONFIG = {
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"default_pi_creature_class" : Randolph,
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}
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def construct(self):
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randy = self.pi_creature
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randy.to_corner(DOWN+LEFT)
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bubble = ThoughtBubble(
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width = 9,
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height = 5,
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)
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circles = bubble[:3]
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angle = -15*DEGREES
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circles.rotate(angle, about_point = bubble.get_bubble_center())
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circles.shift(LARGE_BUFF*LEFT)
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for circle in circles:
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circle.rotate(-angle)
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bubble.pin_to(randy)
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bubble.shift_onto_screen()
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self.play(
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randy.change, "thinking",
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ShowCreation(bubble)
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)
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self.wait(2)
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self.play(randy.change, "happy", bubble)
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self.wait(2)
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self.play(randy.change, "hooray", bubble)
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self.wait(2)
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class IntroScene(PiCreatureScene):
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CONFIG = {
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@ -223,23 +253,17 @@ class IntroScene(PiCreatureScene):
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}
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def construct(self):
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randy = self.get_primary_pi_creature()
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randy.scale(0.7).to_corner(DOWN+RIGHT)
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self.build_up_euler_sum()
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self.build_up_sum_on_number_line()
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self.show_pi_answer()
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self.other_pi_formulas()
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self.refocus_on_euler_sum()
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def build_up_euler_sum(self):
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self.euler_sum = TexMobject(
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euler_sum = self.euler_sum = TexMobject(
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"1", "+",
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"{1 \\over 4}", "+",
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"{1 \\over 9}", "+",
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@ -248,16 +272,15 @@ class IntroScene(PiCreatureScene):
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"\\cdots", "=",
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arg_separator = " \\, "
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)
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equals_sign = euler_sum.get_part_by_tex("=")
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self.euler_sum.to_edge(UP)
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self.euler_sum.shift(2*LEFT)
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terms = [1./n**2 for n in range(1,6)]
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terms = [1./n**2 for n in range(1,100)]
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partial_results_values = np.cumsum(terms)
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self.play(
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FadeIn(self.euler_sum[0], run_time = self.duration)
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)
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self.play(FadeIn(euler_sum[0]))
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equals_sign = self.euler_sum.get_part_by_tex("=")
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@ -265,49 +288,7 @@ class IntroScene(PiCreatureScene):
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num_decimal_points = 2)
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self.partial_sum_decimal.next_to(equals_sign, RIGHT)
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for i in range(4):
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FadeIn(self.partial_sum_decimal, run_time = self.duration)
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if i == 0:
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self.play(
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FadeIn(self.euler_sum[1], run_time = self.duration),
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FadeIn(self.euler_sum[2], run_time = self.duration),
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FadeIn(equals_sign, run_time = self.duration),
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FadeIn(self.partial_sum_decimal, run_time = self.duration)
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)
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else:
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self.play(
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FadeIn(self.euler_sum[2*i+1], run_time = self.duration),
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FadeIn(self.euler_sum[2*i+2], run_time = self.duration),
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ChangeDecimalToValue(
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self.partial_sum_decimal,
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partial_results_values[i+1],
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run_time = self.duration,
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num_decimal_points = 6,
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show_ellipsis = True,
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position_update_func = lambda m: m.next_to(equals_sign, RIGHT)
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)
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)
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self.wait()
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self.q_marks = TextMobject("???").highlight(LIGHT_COLOR)
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self.q_marks.move_to(self.partial_sum_decimal)
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self.play(
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FadeIn(self.euler_sum[-3], run_time = self.duration), # +
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FadeIn(self.euler_sum[-2], run_time = self.duration), # ...
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ReplacementTransform(self.partial_sum_decimal, self.q_marks)
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)
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def build_up_sum_on_number_line(self):
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## Number line
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self.number_line = NumberLine(
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x_min = 0,
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@ -365,6 +346,47 @@ class IntroScene(PiCreatureScene):
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)
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##
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for i in range(4):
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FadeIn(self.partial_sum_decimal, run_time = self.duration)
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if i == 0:
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self.play(
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FadeIn(self.euler_sum[1], run_time = self.duration),
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FadeIn(self.euler_sum[2], run_time = self.duration),
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FadeIn(equals_sign, run_time = self.duration),
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FadeIn(self.partial_sum_decimal, run_time = self.duration)
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)
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else:
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self.play(
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FadeIn(self.euler_sum[2*i+1], run_time = self.duration),
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FadeIn(self.euler_sum[2*i+2], run_time = self.duration),
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ChangeDecimalToValue(
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self.partial_sum_decimal,
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partial_results_values[i+1],
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run_time = self.duration,
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num_decimal_points = 6,
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show_ellipsis = True,
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position_update_func = lambda m: m.next_to(equals_sign, RIGHT)
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)
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)
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self.wait()
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self.q_marks = TextMobject("???").highlight(LIGHT_COLOR)
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self.q_marks.move_to(self.partial_sum_decimal)
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self.play(
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FadeIn(self.euler_sum[-3], run_time = self.duration), # +
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FadeIn(self.euler_sum[-2], run_time = self.duration), # ...
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ReplacementTransform(self.partial_sum_decimal, self.q_marks)
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)
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def show_pi_answer(self):
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self.pi_answer = TexMobject("{\\pi^2 \\over 6}").highlight(YELLOW)
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@ -373,7 +395,6 @@ class IntroScene(PiCreatureScene):
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submobject_to_align = self.pi_answer[-2])
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self.play(ReplacementTransform(self.q_marks, self.pi_answer))
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def other_pi_formulas(self):
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self.play(
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@ -409,8 +430,6 @@ class IntroScene(PiCreatureScene):
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Write(self.wallis_product)
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)
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def refocus_on_euler_sum(self):
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self.euler_sum.add(self.pi_answer)
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