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begin quat3d animations
This commit is contained in:
Grant Sanderson
152
active_projects/quat3d.py
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152
active_projects/quat3d.py
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@ -0,0 +1,152 @@
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from big_ol_pile_of_manim_imports import *
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from active_projects.quaternions import *
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W_COLOR = YELLOW
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I_COLOR = GREEN
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J_COLOR = RED
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K_COLOR = BLUE
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class QuaternionLabel(VGroup):
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CONFIG = {
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"decimal_config": {}
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}
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def __init__(self, quat, **kwargs):
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VGroup.__init__(self, **kwargs)
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dkwargs = dict(self.decimal_config)
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self.add(DecimalNumber(quat[0], color=W_COLOR, **dkwargs))
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dkwargs["include_sign"] = True
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self.add(
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DecimalNumber(quat[1], color=I_COLOR, **dkwargs),
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TexMobject("i"),
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DecimalNumber(quat[2], color=J_COLOR, **dkwargs),
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TexMobject("j"),
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DecimalNumber(quat[3], color=K_COLOR, **dkwargs),
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TexMobject("k"),
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)
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self.arrange_submobjects(RIGHT, buff=SMALL_BUFF)
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# Scenes
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class Introduction(QuaternionHistory):
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CONFIG = {
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"names_and_quotes": [
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(
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"Oliver Heaviside",
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"""\\Huge ``the quaternion was not only not
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required, but was a positive evil''"""
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),
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(
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"Lord Kelvin",
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"""\\Huge ``Quaternions... though beautifully \\\\ ingenious,
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have been an unmixed evil'' """
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),
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]
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}
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def construct(self):
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title_word = TextMobject("Quaternions:")
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title_equation = TexMobject(
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"i^2 = j^2 = k^2 = ijk = -1",
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tex_to_color_map={
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"i": I_COLOR,
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"j": J_COLOR,
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"k": K_COLOR,
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}
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)
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# label = QuaternionLabel([
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# float(str((TAU * 10**(3 * k)) % 10)[:4])
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# for k in range(4)
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# ])
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title = VGroup(title_word, title_equation)
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title.arrange_submobjects(RIGHT)
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title.to_edge(UP)
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images_group = self.get_dissenter_images_quotes_and_names()
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images_group.to_edge(DOWN)
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images, quotes, names = images_group
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for pair in images_group:
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pair[1].align_to(pair[0], UP)
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self.play(
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FadeInFromDown(title_word),
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Write(title_equation)
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)
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self.wait()
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self.play(
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LaggedStart(
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FadeInFrom, images,
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lambda m: (m, 3 * DOWN),
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lag_ratio=0.75
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),
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LaggedStart(FadeInFromLarge, names, lag_ratio=0.75),
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*[
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LaggedStart(
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FadeIn, VGroup(*it.chain(*quote)),
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lag_ratio=0.3,
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run_time=3
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)
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for quote in quotes
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],
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)
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self.wait(2)
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self.play(
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title.shift, 2 * UP,
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*[
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ApplyMethod(mob.shift, FRAME_WIDTH * vect / 2)
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for pair in images_group
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for mob, vect in zip(pair, [LEFT, RIGHT])
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],
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)
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class WhoCares(TeacherStudentsScene):
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def construct(self):
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quotes = Group(*[
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ImageMobject(
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"CoderQuaternionResponse_{}".format(d),
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height=2
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)
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for d in range(4)
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])
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logos = Group(*[
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ImageMobject(name, height=0.5)
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for name in [
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"TwitterLogo",
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"HackerNewsLogo",
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"RedditLogo",
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"YouTubeLogo",
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]
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])
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for quote, logo in zip(quotes, logos):
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logo.move_to(quote.get_corner(UR))
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quote.add(logo)
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quotes.arrange_submobjects_in_grid()
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quotes.set_height(4)
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quotes.to_corner(UL)
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self.student_says(
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"Um...who cares?",
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target_mode="sassy",
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added_anims=[self.teacher.change, "guilty"]
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)
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self.wait(2)
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self.play(
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RemovePiCreatureBubble(self.students[1]),
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self.teacher.change, "raise_right_hand"
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)
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self.play(
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LaggedStart(
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FadeInFromDown, quotes,
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run_time=3
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),
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self.get_student_changes(*3 * ["pondering"], look_at_arg=quotes)
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)
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self.wait(2)
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# Show HN
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# Show Twitter
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@ -728,6 +728,24 @@ class IntroduceHamilton(Scene):
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class QuaternionHistory(Scene):
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CONFIG = {
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"names_and_quotes": [
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(
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"Oliver Heaviside",
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"""\\huge ``As far as the vector analysis I required was
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concerned, the quaternion was not only not
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required, but was a positive evil of no
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inconsiderable magnitude.''"""
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),
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(
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"Lord Kelvin",
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"""\\huge ``Quaternions... though beautifully \\\\ ingenious,
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have been an unmixed evil to those who have
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touched them in any way, including Clerk Maxwell.''"""
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),
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]
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}
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def construct(self):
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self.show_dot_product_and_cross_product()
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self.teaching_students_quaternions()
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@ -901,48 +919,8 @@ class QuaternionHistory(Scene):
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self.equation = equation
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def show_anti_quaternion_quote(self):
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names_and_quotes = [
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(
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"Oliver Heaviside",
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"""``As far as the vector analysis I required was
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concerned, the quaternion was not only not
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required, but was a positive evil of no
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inconsiderable magnitude.''"""
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),
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(
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"Lord Kelvin",
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"""``Quaternions... though beautifully \\\\ ingenious,
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have been an unmixed evil to those who have
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touched them in any way, including Clerk Maxwell.''"""
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),
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]
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images = Group()
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quotes = VGroup()
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names = VGroup()
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images_with_quotes = Group()
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for name, quote_text in names_and_quotes:
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image = Group(ImageMobject(name))
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image.set_height(4)
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label = TextMobject(name)
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label.next_to(image, DOWN)
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names.add(label)
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quote = TextMobject(
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"\\huge " + quote_text,
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tex_to_color_map={
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"positive evil": RED,
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"unmixed evil": RED,
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},
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alignment=""
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)
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quote.scale(0.3)
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quote.next_to(image, UP)
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images.add(image)
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quotes.add(quote)
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images_with_quotes.add(Group(image, label, quote))
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images_with_quotes.arrange_submobjects(RIGHT, buff=LARGE_BUFF)
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images_with_quotes.to_edge(DOWN, MED_LARGE_BUFF)
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group = self.get_dissenter_images_quotes_and_names()
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images, quotes, names = group
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self.play(
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LaggedStart(FadeInFromDown, images),
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LaggedStart(FadeInFromLarge, names),
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@ -1052,6 +1030,37 @@ class QuaternionHistory(Scene):
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self.remove(characters)
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self.wait()
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#
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def get_dissenter_images_quotes_and_names(self):
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names_and_quotes = self.names_and_quotes
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images = Group()
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quotes = VGroup()
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names = VGroup()
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images_with_quotes = Group()
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for name, quote_text in names_and_quotes:
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image = Group(ImageMobject(name))
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image.set_height(4)
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label = TextMobject(name)
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label.next_to(image, DOWN)
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names.add(label)
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quote = TextMobject(
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quote_text,
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tex_to_color_map={
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"positive evil": RED,
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"unmixed evil": RED,
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},
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alignment=""
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)
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quote.scale(0.3)
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quote.next_to(image, UP)
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images.add(image)
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quotes.add(quote)
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images_with_quotes.add(Group(image, label, quote))
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images_with_quotes.arrange_submobjects(RIGHT, buff=LARGE_BUFF)
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images_with_quotes.to_edge(DOWN, MED_LARGE_BUFF)
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return Group(images, quotes, names)
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class QuaternionRotationOverlay(Scene):
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def construct(self):
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