mirror of
https://github.com/3b1b/manim.git
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Finished tattoo video
This commit is contained in:
Grant Sanderson
parent
44216ffe0d
commit
740eba856d
5 changed files with 317 additions and 43 deletions
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@ -283,6 +283,27 @@ class Succession(Animation):
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curr_anim.update(scaled_alpha - index)
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self.last_index = index
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class AnimationGroup(Animation):
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def __init__(self, *sub_anims, **kwargs):
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digest_config(self, kwargs, locals())
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max_run_time = float(max([a.run_time for a in sub_anims]))
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for anim in sub_anims:
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#Use np.divide to that 1./0 = np.inf
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anim.alpha_multiplier = np.divide(max_run_time, anim.run_time)
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if "run_time" in kwargs:
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self.run_time = kwargs.pop("run_time")
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else:
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self.run_time = max_run_time
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everything = Mobject(*[a.mobject for a in sub_anims])
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Animation.__init__(self, everything, **kwargs)
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def update(self, alpha):
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for anim in self.sub_anims:
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sub_alpha = np.clip(alpha*anim.alpha_multiplier, 0, 1)
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anim.update(sub_alpha)
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293
tattoo.py
293
tattoo.py
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@ -25,7 +25,6 @@ from mobject.svg_mobject import *
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from mobject.tex_mobject import *
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class TrigRepresentationsScene(Scene):
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CONFIG = {
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"unit_length" : 1.5,
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@ -111,6 +110,49 @@ class TrigRepresentationsScene(Scene):
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end_point = (1./np.sin(self.theta_value))*self.unit_length*UP
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return Line(start_point, end_point, color = color)
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class Introduce(TeacherStudentsScene):
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def construct(self):
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self.teacher_says(
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"Something different today!",
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target_mode = "hooray",
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run_time = 2
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)
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self.change_student_modes("thinking", "happy", "sassy")
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self.random_blink(2)
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class ReactionsToTattoo(PiCreatureScene):
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def construct(self):
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modes = [
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"horrified",
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"hesitant",
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"pondering",
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"thinking",
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"sassy",
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]
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tattoo_on_math = TextMobject("Tattoo on \\\\ math")
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tattoo_on_math.to_edge(UP)
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self.dither(2)
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for mode in modes:
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self.play(
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self.pi_creature.change_mode, mode,
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self.pi_creature.look, UP+RIGHT
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)
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self.dither(2)
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self.play(
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Write(tattoo_on_math),
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self.pi_creature.change_mode, "hooray",
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self.pi_creature.look, UP
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)
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self.dither()
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self.change_mode("happy")
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self.dither(2)
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def get_pi_creature(self):
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randy = Randolph()
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randy.next_to(ORIGIN, DOWN)
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return randy
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class IntroduceCSC(TrigRepresentationsScene):
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def construct(self):
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self.clear()
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@ -265,19 +307,24 @@ class ExplainTrigFunctionDistances(TrigRepresentationsScene, PiCreatureScene):
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cos_group,
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self.theta_group,
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)
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thetas = np.linspace(self.theta_value, self.alt_theta_val, 10)
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thetas = np.linspace(self.theta_value, self.alt_theta_val, 100)
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targets = []
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for theta in list(thetas) + list(reversed(thetas)):
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for theta in thetas:
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self.theta_value = theta
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targets.append(VGroup(
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self.get_line_brace_text("sin"),
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self.get_line_brace_text("cos"),
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self.get_theta_group()
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))
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self.play(Succession(*[
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Transform(mover, target)
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for target in targets
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], run_time = 5, rate_func = smooth))
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self.play(Succession(
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*[
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Transform(mover, target, rate_func = None)
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for target in targets
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],
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run_time = 5,
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rate_func = there_and_back
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))
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self.theta_value = thetas[0]
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self.change_mode("happy")
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self.dither()
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@ -339,19 +386,24 @@ class ExplainTrigFunctionDistances(TrigRepresentationsScene, PiCreatureScene):
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cot_group,
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self.theta_group,
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)
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thetas = np.linspace(self.theta_value, self.alt_theta_val, 10)
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thetas = np.linspace(self.theta_value, self.alt_theta_val, 100)
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targets = []
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for theta in list(thetas) + list(reversed(thetas)):
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for theta in thetas:
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self.theta_value = theta
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targets.append(VGroup(
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self.get_line_brace_text("tan"),
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self.get_line_brace_text("cot"),
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self.get_theta_group()
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))
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self.play(Succession(*[
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Transform(mover, target)
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for target in targets
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], run_time = 5, rate_func = smooth))
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self.play(Succession(
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*[
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Transform(mover, target, rate_func = None)
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for target in targets
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],
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run_time = 5,
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rate_func = there_and_back
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))
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self.theta_value = thetas[0]
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self.change_mode("happy")
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self.dither(2)
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@ -414,9 +466,9 @@ class ExplainTrigFunctionDistances(TrigRepresentationsScene, PiCreatureScene):
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self.theta_group,
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self.tangent_line,
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)
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thetas = np.linspace(self.theta_value, self.alt_theta_val, 10)
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thetas = np.linspace(self.theta_value, self.alt_theta_val, 100)
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targets = []
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for theta in list(thetas) + list(reversed(thetas)):
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for theta in thetas:
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self.theta_value = theta
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new_sec_group = self.get_line_brace_text("sec")
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new_csc_group = self.get_line_brace_text("csc")
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@ -431,10 +483,15 @@ class ExplainTrigFunctionDistances(TrigRepresentationsScene, PiCreatureScene):
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self.get_theta_group(),
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self.get_tangent_line(),
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))
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self.play(Succession(*[
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Transform(mover, target)
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for target in targets
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], run_time = 5, rate_func = smooth))
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self.play(Succession(
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*[
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Transform(mover, target, rate_func = None)
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for target in targets
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],
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run_time = 5,
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rate_func = there_and_back
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))
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self.theta_value = thetas[0]
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self.change_mode("confused")
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self.dither(2)
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@ -482,6 +539,11 @@ class ExplainTrigFunctionDistances(TrigRepresentationsScene, PiCreatureScene):
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frac_group.scale_to_fit_width(SPACE_WIDTH-1)
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frac_group.next_to(ORIGIN, RIGHT).to_edge(UP)
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question = TextMobject("Why is this $\\theta$?")
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question.highlight(YELLOW)
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question.to_corner(UP+RIGHT)
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arrow = Arrow(question.get_bottom(), arc_theta)
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one_brace, one = self.radial_line_label
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one.move_to(one_brace.get_center_of_mass())
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@ -499,6 +561,14 @@ class ExplainTrigFunctionDistances(TrigRepresentationsScene, PiCreatureScene):
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rate_func = wiggle
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))
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self.dither(2)
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self.play(
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Write(question),
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ShowCreation(arrow),
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self.pi_creature.change_mode, "confused"
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)
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self.dither(2)
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self.play(*map(FadeOut, [question, arrow]))
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self.play(Write(opp_over_hyp))
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self.dither()
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@ -562,7 +632,7 @@ class ExplainTrigFunctionDistances(TrigRepresentationsScene, PiCreatureScene):
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self.dither()
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self.play(
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dem2.move_to, frac2[2],
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VGroup(*frac2[1:3]).highlight, BLACK
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VGroup(*frac2[1:3]).set_fill, BLACK, 0
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)
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self.dither()
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@ -625,13 +695,21 @@ class ExplainTrigFunctionDistances(TrigRepresentationsScene, PiCreatureScene):
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if (vect[1] < 0) ^ (func_name is "sec"):
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vect = -vect
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angle += np.pi
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brace = Brace(line, vect)
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brace = Brace(
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Line(
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line.get_length()*LEFT/2,
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line.get_length()*RIGHT/2,
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),
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UP
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)
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brace.rotate(angle)
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brace.shift(line.get_center())
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brace.highlight(line.get_color())
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text = TexMobject("\\%s(\\theta)"%func_name)
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text.scale(0.75)
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text[-2].highlight(self.theta_color)
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text.add_background_rectangle()
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text.next_to(brace.get_center(), vect, buff = 1.2*MED_BUFF)
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text.next_to(brace.get_center_of_mass(), vect, buff = 1.2*MED_BUFF)
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return VGroup(line, brace, text)
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def get_tangent_line(self):
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@ -652,25 +730,166 @@ class RenameAllInTermsOfSine(Scene):
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"\\cot(\\theta)",
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]
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shift_vals = [
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2*LEFT+3*UP,
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2*LEFT+UP,
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2*LEFT+DOWN,
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2*RIGHT+3*UP,
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2*RIGHT+UP,
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2*RIGHT+DOWN,
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4*LEFT+3*UP,
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4*LEFT+UP,
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4*LEFT+DOWN,
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4*RIGHT+3*UP,
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4*RIGHT+UP,
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4*RIGHT+DOWN,
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]
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equivs = [
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"",
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"\\sin(90^\\circ - \\theta)",
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"\\frac{\\sin(\\theta)}{\\sin(90^\\circ - \\theta)}",
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"\\frac{1}{\\sin(\\theta)}",
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"\\frac{1}{\\sin(90^\\circ - \\theta)}",
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"\\frac{\\sin(90^\\circ - \\theta)}{\\sin(\\theta)}",
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"= \\sin(90^\\circ - \\theta)",
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"= \\frac{\\sin(\\theta)}{\\sin(90^\\circ - \\theta)}",
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"= \\frac{1}{\\sin(\\theta)}",
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"= \\frac{1}{\\sin(90^\\circ - \\theta)}",
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"= \\frac{\\sin(90^\\circ - \\theta)}{\\sin(\\theta)}",
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]
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mobs = VGroup(*map(TexMobject, texs))
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sin, cos, tan = mobs[:3]
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sin.target_color = YELLOW
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cos.target_color = GREEN
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tan.target_color = RED
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rhs_mobs = VGroup(*map(TexMobject, equivs))
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rhs_mobs.submobjects[0] = VectorizedPoint()
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for mob, shift_val in zip(mobs, shift_vals):
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mob.shift(shift_val)
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self.play(Write(mobs))
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self.dither()
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for mob, rhs_mob in zip(mobs, rhs_mobs):
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rhs_mob.next_to(mob)
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rhs_mob.highlight(sin.target_color)
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mob.save_state()
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mob.generate_target()
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VGroup(mob.target, rhs_mob).move_to(mob)
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sin.target.highlight(sin.target_color)
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self.play(*it.chain(*[
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map(MoveToTarget, mobs),
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[Write(rhs_mobs)]
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]))
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self.dither(2)
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anims = []
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for mob, rhs_mob in zip(mobs, rhs_mobs)[1:3]:
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anims += [
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FadeOut(rhs_mob),
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mob.restore,
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mob.highlight, mob.target_color,
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]
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self.play(*anims)
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self.dither()
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new_rhs_mobs = [
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TexMobject("=\\frac{1}{\\%s(\\theta)}"%s).highlight(color)
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for s, color in [
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("cos", cos.target_color),
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("tan", tan.target_color),
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]
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]
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anims = []
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for mob, rhs, new_rhs in zip(mobs[-2:], rhs_mobs[-2:], new_rhs_mobs):
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new_rhs.next_to(mob)
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VGroup(mob.target, new_rhs).move_to(
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VGroup(mob, rhs)
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)
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anims += [
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MoveToTarget(mob),
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Transform(rhs, new_rhs)
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]
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self.play(*anims)
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self.dither(2)
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class MisMatchOfCoPrefix(TeacherStudentsScene):
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def construct(self):
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eq1 = TexMobject(
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"\\text{secant}(\\theta) = \\frac{1}{\\text{cosine}(\\theta)}"
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)
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eq2 = TexMobject(
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"\\text{cosecant}(\\theta) = \\frac{1}{\\text{sine}(\\theta)}"
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)
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eq1.to_corner(UP+LEFT)
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eq1.to_edge(LEFT)
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eq2.next_to(eq1, DOWN, buff = LARGE_BUFF)
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eqs = VGroup(eq1, eq2)
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self.play(
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self.get_teacher().change_mode, "speaking",
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Write(eqs),
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*[
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ApplyMethod(pi.look_at, eqs)
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for pi in self.get_students()
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]
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)
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self.random_blink()
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self.play(
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VGroup(*eq1[-9:-7]).highlight, YELLOW,
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VGroup(*eq2[:2]).highlight, YELLOW,
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*[
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ApplyMethod(pi.change_mode, "confused")
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for pi in self.get_students()
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]
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)
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self.random_blink(2)
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class Credit(Scene):
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def construct(self):
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morty = Mortimer()
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morty.next_to(ORIGIN, DOWN)
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morty.to_edge(RIGHT)
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headphones = Headphones(height = 1)
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headphones.move_to(morty.eyes, aligned_edge = DOWN)
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headphones.shift(0.1*DOWN)
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url = TextMobject("www.audibletrial.com/3blue1brown")
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url.scale(0.8)
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url.to_corner(UP+RIGHT, buff = LARGE_BUFF)
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book = ImageMobject("zen_and_motorcycles")
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book.scale_to_fit_height(5)
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book.to_edge(DOWN, buff = LARGE_BUFF)
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border = Rectangle(color = WHITE)
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border.replace(book, stretch = True)
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self.play(PiCreatureSays(
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morty, "Book recommendation!",
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target_mode = "surprised"
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))
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self.play(Blink(morty))
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self.play(
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FadeIn(headphones),
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morty.change_mode, "thinking",
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FadeOut(morty.bubble),
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FadeOut(morty.bubble.content),
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)
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self.play(Write(url))
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self.play(morty.change_mode, "happy")
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self.dither(2)
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self.play(Blink(morty))
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self.dither(2)
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self.play(
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morty.change_mode, "raise_right_hand",
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morty.look_at, url
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)
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self.dither(2)
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self.play(
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morty.change_mode, "happy",
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morty.look_at, book
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)
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self.play(FadeIn(book))
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self.play(ShowCreation(border))
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self.dither(2)
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self.play(Blink(morty))
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self.dither()
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self.play(
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morty.change_mode, "thinking",
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morty.look_at, book
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)
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self.dither(2)
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self.play(Blink(morty))
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self.dither(4)
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self.play(Blink(morty))
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|
|
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@ -10,7 +10,7 @@ from topics.objects import Bubble, ThoughtBubble, SpeechBubble
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from animation import Animation
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from animation.transform import Transform, ApplyMethod, \
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FadeOut, FadeIn, ApplyPointwiseFunction
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from animation.simple_animations import Write, ShowCreation
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from animation.simple_animations import Write, ShowCreation, AnimationGroup
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from scene import Scene
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@ -213,7 +213,6 @@ class BabyPiCreature(PiCreature):
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self.look(looking_direction)
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class Blink(ApplyMethod):
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CONFIG = {
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"rate_func" : squish_rate_func(there_and_back)
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|
|
@ -222,6 +221,39 @@ class Blink(ApplyMethod):
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ApplyMethod.__init__(self, pi_creature.blink, **kwargs)
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class PiCreatureSays(AnimationGroup):
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CONFIG = {
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"target_mode" : "speaking",
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"change_mode_kwargs" : {},
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"bubble_creation_kwargs" : {},
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"write_kwargs" : {},
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}
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def __init__(self, pi_creature, *content, **kwargs):
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digest_config(self, kwargs)
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bubble = pi_creature.get_bubble("speech")
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bubble.write(*content)
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bubble.resize_to_content()
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bubble.pin_to(pi_creature)
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pi_creature.bubble = bubble
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|
||||
AnimationGroup.__init__(
|
||||
self,
|
||||
ApplyMethod(
|
||||
pi_creature.change_mode,
|
||||
self.target_mode,
|
||||
**self.change_mode_kwargs
|
||||
),
|
||||
ShowCreation(
|
||||
bubble,
|
||||
**self.bubble_creation_kwargs
|
||||
),
|
||||
Write(
|
||||
bubble.content,
|
||||
**self.write_kwargs
|
||||
),
|
||||
**kwargs
|
||||
)
|
||||
|
||||
|
||||
class PiCreatureScene(Scene):
|
||||
CONFIG = {
|
||||
|
|
|
|||
|
|
@ -29,7 +29,7 @@ class ParametricFunction(VMobject):
|
|||
CONFIG = {
|
||||
"t_min" : 0,
|
||||
"t_max" : 1,
|
||||
"epsilon" : 0.1,
|
||||
"num_anchor_points" : 10,
|
||||
}
|
||||
def __init__(self, function, **kwargs):
|
||||
self.function = function
|
||||
|
|
@ -38,10 +38,10 @@ class ParametricFunction(VMobject):
|
|||
def generate_points(self):
|
||||
self.set_anchor_points([
|
||||
self.function(t)
|
||||
for t in np.arange(
|
||||
for t in np.linspace(
|
||||
self.t_min,
|
||||
self.t_max+self.epsilon,
|
||||
self.epsilon
|
||||
self.t_max,
|
||||
self.num_anchor_points
|
||||
)
|
||||
], mode = "smooth")
|
||||
|
||||
|
|
|
|||
|
|
@ -122,6 +122,8 @@ class Bubble(SVGMobject):
|
|||
"bubble_center_adjustment_factor" : 1./8,
|
||||
"file_name" : None,
|
||||
"propogate_style_to_family" : True,
|
||||
"fill_color" : BLACK,
|
||||
"fill_opacity" : 0.8,
|
||||
}
|
||||
def __init__(self, **kwargs):
|
||||
digest_config(self, kwargs, locals())
|
||||
|
|
|
|||
Loading…
Add table
Reference in a new issue