def series_of_videos(self, chapters):
icon = SVGMobject("video_icon")
icon.center()
icon.scale_to_fit_width(2 * SPACE_WIDTH / 12.)
icon.set_stroke(color=WHITE, width=0)
icons = [icon.copy() for chapter in chapters.split()]
colors = Color(BLUE_A).range_to(BLUE_D, len(icons))
for icon, color in zip(icons, colors):
icon.set_fill(color, opacity=1)
icons = VMobject(*icons)
icons.arrange_submobjects(RIGHT)
icons.to_edge(LEFT)
icons.shift(UP)
randy = Randolph()
randy.to_corner()
bubble = randy.get_bubble()
new_icons = icons.copy().scale(0.2)
bubble.position_mobject_inside(new_icons)
self.play(Transform(
chapters,
icons,
path_arc=np.pi / 2,
))
self.clear()
self.add(icons)
self.play(FadeIn(randy))
self.play(Blink(randy))
self.wait()
self.play(ShowCreation(bubble), Transform(icons, new_icons))
self.remove(icons)
bubble.make_green_screen()
self.wait()
def construct(self):
v_sum = VMobject(
Vector([1, 1], color=YELLOW),
Vector([3, 1], color=BLUE).shift(RIGHT + UP),
Vector([4, 2], color=GREEN),
)
scalar_multiplication = VMobject(TexMobject("2 \\cdot "),
Vector([1, 1]), TexMobject("="),
Vector([2, 2], color=WHITE))
scalar_multiplication.arrange_submobjects(RIGHT)
both = VMobject(v_sum, scalar_multiplication)
both.arrange_submobjects(RIGHT, buff=1)
both.shift(2 * DOWN)
self.add(both)
UpcomingSeriesOfVidoes.construct(self)
last_video = self.mobjects[-1]
self.play(ApplyMethod(last_video.highlight, YELLOW))
self.dither()
everything = VMobject(*self.mobjects)
everything.remove(last_video)
big_last_video = last_video.copy()
big_last_video.center()
big_last_video.scale_to_fit_height(2.5 * SPACE_HEIGHT)
big_last_video.set_fill(opacity=0)
self.play(ApplyMethod(everything.shift, 2 * SPACE_WIDTH * LEFT),
Transform(last_video, big_last_video),
run_time=2)
def construct(self):
v_sum = VMobject(
Vector([1, 1], color = YELLOW),
Vector([3, 1], color = BLUE).shift(RIGHT+UP),
Vector([4, 2], color = GREEN),
)
scalar_multiplication = VMobject(
TexMobject("2 \\cdot "),
Vector([1, 1]),
TexMobject("="),
Vector([2, 2], color = WHITE)
)
scalar_multiplication.arrange_submobjects(RIGHT)
both = VMobject(v_sum, scalar_multiplication)
both.arrange_submobjects(RIGHT, buff = 1)
both.shift(2*DOWN)
self.add(both)
UpcomingSeriesOfVidoes.construct(self)
last_video = self.mobjects[-1]
self.play(ApplyMethod(last_video.highlight, YELLOW))
self.dither()
everything = VMobject(*self.mobjects)
everything.remove(last_video)
big_last_video = last_video.copy()
big_last_video.center()
big_last_video.scale_to_fit_height(2.5*SPACE_HEIGHT)
big_last_video.set_fill(opacity = 0)
self.play(
ApplyMethod(everything.shift, 2*SPACE_WIDTH*LEFT),
Transform(last_video, big_last_video),
run_time = 2
)
def construct(self):
v = TexMobject(self.v_str)
v.highlight(YELLOW)
eq = TexMobject("=")
coords = Matrix(["x", "y", "z"])
eq2 = eq.copy()
if self.post_transform:
L, l_paren, r_paren = map(TexMobject, "L()")
parens = VMobject(l_paren, r_paren)
parens.scale(2)
parens.stretch_to_fit_height(
coords.get_height()
)
VMobject(L, l_paren, coords, r_paren).arrange_submobjects(buff = 0.1)
coords.submobjects = [L, l_paren] + coords.submobjects + [r_paren]
lin_comb = VMobject(*map(TexMobject, [
"x", self.i_str, "+",
"y", self.j_str, "+",
"z", self.k_str,
]))
lin_comb.arrange_submobjects(
RIGHT, buff = 0.1,
aligned_edge = ORIGIN if self.post_transform else DOWN
)
lin_comb_parts = np.array(lin_comb.split())
new_x, new_y, new_z = lin_comb_parts[[0, 3, 6]]
i, j, k = lin_comb_parts[[1, 4, 7]]
plusses = lin_comb_parts[[2, 5]]
i.highlight(X_COLOR)
j.highlight(Y_COLOR)
k.highlight(Z_COLOR)
everything = VMobject(v, eq, coords, eq2, lin_comb)
everything.arrange_submobjects(buff = 0.2)
everything.scale_to_fit_width(2*SPACE_WIDTH - 1)
everything.to_edge(DOWN)
if not self.post_transform:
lin_comb.shift(0.35*UP)
self.play(*map(Write, [v, eq, coords]))
self.dither()
self.play(
Transform(
coords.get_entries().copy(),
VMobject(new_x, new_y, new_z),
path_arc = -np.pi,
submobject_mode = "lagged_start"
),
Write(VMobject(*[eq2, i, j, k] + list(plusses))),
run_time = 3
)
self.dither()
def construct(self):
self.setup()
matrix = Matrix(np.array(self.transposed_matrix).transpose())
matrix.highlight_columns(X_COLOR, Y_COLOR)
matrix.next_to(ORIGIN, LEFT).to_edge(UP)
matrix_background = BackgroundRectangle(matrix)
self.play(ShowCreation(matrix_background), Write(matrix))
if self.show_square:
self.add_unit_square(animate = True)
self.add_foreground_mobject(matrix_background, matrix)
self.dither()
self.apply_transposed_matrix([self.transposed_matrix[0], [0, 1]])
self.apply_transposed_matrix([[1, 0], self.transposed_matrix[1]])
self.dither()
if self.show_square:
bottom_brace = Brace(self.i_hat, DOWN)
right_brace = Brace(self.square, RIGHT)
width = TexMobject(str(self.transposed_matrix[0][0]))
height = TexMobject(str(self.transposed_matrix[1][1]))
width.next_to(bottom_brace, DOWN)
height.next_to(right_brace, RIGHT)
for mob in bottom_brace, width, right_brace, height:
mob.add_background_rectangle()
self.play(Write(mob, run_time = 0.5))
self.dither()
width_target, height_target = width.copy(), height.copy()
det = np.linalg.det(self.transposed_matrix)
times, eq_det = map(TexMobject, ["\\times", "=%d"%det])
words = TextMobject("New area $=$")
equation = VMobject(
words, width_target, times, height_target, eq_det
)
equation.arrange_submobjects(RIGHT, buff = 0.2)
equation.next_to(self.square, UP, aligned_edge = LEFT)
equation.shift(0.5*RIGHT)
background_rect = BackgroundRectangle(equation)
self.play(
ShowCreation(background_rect),
Transform(width.copy(), width_target),
Transform(height.copy(), height_target),
*map(Write, [words, times, eq_det])
)
self.dither()
def construct(self):
self.setup()
matrix = Matrix(np.array(self.transposed_matrix).transpose())
matrix.highlight_columns(X_COLOR, Y_COLOR)
matrix.next_to(ORIGIN, LEFT).to_edge(UP)
matrix_background = BackgroundRectangle(matrix)
self.play(ShowCreation(matrix_background), Write(matrix))
if self.show_square:
self.add_unit_square(animate=True)
self.add_foreground_mobject(matrix_background, matrix)
self.wait()
self.apply_transposed_matrix([self.transposed_matrix[0], [0, 1]])
self.apply_transposed_matrix([[1, 0], self.transposed_matrix[1]])
self.wait()
if self.show_square:
bottom_brace = Brace(self.i_hat, DOWN)
right_brace = Brace(self.square, RIGHT)
width = TexMobject(str(self.transposed_matrix[0][0]))
height = TexMobject(str(self.transposed_matrix[1][1]))
width.next_to(bottom_brace, DOWN)
height.next_to(right_brace, RIGHT)
for mob in bottom_brace, width, right_brace, height:
mob.add_background_rectangle()
self.play(Write(mob, run_time=0.5))
self.wait()
width_target, height_target = width.copy(), height.copy()
det = np.linalg.det(self.transposed_matrix)
times, eq_det = map(TexMobject, ["\\times", "=%d" % det])
words = TextMobject("New area $=$")
equation = VMobject(words, width_target, times, height_target,
eq_det)
equation.arrange_submobjects(RIGHT, buff=0.2)
equation.next_to(self.square, UP, aligned_edge=LEFT)
equation.shift(0.5 * RIGHT)
background_rect = BackgroundRectangle(equation)
self.play(ShowCreation(background_rect),
Transform(width.copy(), width_target),
Transform(height.copy(), height_target),
*map(Write, [words, times, eq_det]))
self.wait()
def construct(self):
icons = [VideoIcon() for x in range(10)]
colors = Color(BLUE_A).range_to(BLUE_D, len(icons))
for icon, color in zip(icons, colors):
icon.set_fill(color, opacity=1)
icons = VMobject(*icons)
icons.arrange_submobjects(RIGHT)
icons.to_edge(LEFT)
icons.shift(UP)
icons = icons.split()
def rate_func_creator(offset):
return lambda a: min(max(2 * (a - offset), 0), 1)
self.play(*[
FadeIn(icon, run_time=5, rate_func=rate_func_creator(offset))
for icon, offset in zip(icons, np.linspace(0, 0.5, len(icons)))
])
self.wait()
def scale_basis_vectors(self, new_array):
i_hat, j_hat = self.get_basis_vectors()
self.add_vector(i_hat)
i_hat_label = self.label_vector(
i_hat, "\\hat{\\imath}",
color = X_COLOR,
label_scale_factor = 1
)
self.add_vector(j_hat)
j_hat_label = self.label_vector(
j_hat, "\\hat{\\jmath}",
color = Y_COLOR,
label_scale_factor = 1
)
self.dither()
x, y = new_array.get_mob_matrix().flatten()
for coord, v, label, factor, shift_right in [
(x, i_hat, i_hat_label, self.vector_coords[0], False),
(y, j_hat, j_hat_label, self.vector_coords[1], True)
]:
faded_v = v.copy().fade(0.7)
scaled_v = Vector(factor*v.get_end(), color = v.get_color())
scaled_label = VMobject(coord.copy(), label.copy())
scaled_label.arrange_submobjects(RIGHT, buff = 0.1)
scaled_label.move_to(label, DOWN+RIGHT)
scaled_label.shift((scaled_v.get_end()-v.get_end())/2)
coord_copy = coord.copy()
self.play(
Transform(v.copy(), faded_v),
Transform(v, scaled_v),
Transform(VMobject(coord_copy, label), scaled_label),
)
self.dither()
if shift_right:
group = VMobject(v, coord_copy, label)
self.play(ApplyMethod(
group.shift, self.vector_coords[0]*RIGHT
))
self.dither()
def construct(self):
icons = [VideoIcon() for x in range(10)]
colors = Color(BLUE_A).range_to(BLUE_D, len(icons))
for icon, color in zip(icons, colors):
icon.set_fill(color, opacity = 1)
icons = VMobject(*icons)
icons.arrange_submobjects(RIGHT)
icons.to_edge(LEFT)
icons.shift(UP)
icons = icons.split()
def rate_func_creator(offset):
return lambda a : min(max(2*(a-offset), 0), 1)
self.play(*[
FadeIn(
icon,
run_time = 5,
rate_func = rate_func_creator(offset)
)
for icon, offset in zip(icons, np.linspace(0, 0.5, len(icons)))
])
self.dither()
def scale_basis_vectors(self, new_array):
i_hat, j_hat = self.get_basis_vectors()
self.add_vector(i_hat)
i_hat_label = self.label_vector(i_hat,
"\\hat{\\imath}",
color=X_COLOR,
label_scale_factor=1)
self.add_vector(j_hat)
j_hat_label = self.label_vector(j_hat,
"\\hat{\\jmath}",
color=Y_COLOR,
label_scale_factor=1)
self.wait()
x, y = new_array.get_mob_matrix().flatten()
for coord, v, label, factor, shift_right in [
(x, i_hat, i_hat_label, self.vector_coords[0], False),
(y, j_hat, j_hat_label, self.vector_coords[1], True)
]:
faded_v = v.copy().fade(0.7)
scaled_v = Vector(factor * v.get_end(), color=v.get_color())
scaled_label = VMobject(coord.copy(), label.copy())
scaled_label.arrange_submobjects(RIGHT, buff=0.1)
scaled_label.move_to(label, DOWN + RIGHT)
scaled_label.shift((scaled_v.get_end() - v.get_end()) / 2)
coord_copy = coord.copy()
self.play(
Transform(v.copy(), faded_v),
Transform(v, scaled_v),
Transform(VMobject(coord_copy, label), scaled_label),
)
self.wait()
if shift_right:
group = VMobject(v, coord_copy, label)
self.play(
ApplyMethod(group.shift, self.vector_coords[0] * RIGHT))
self.wait()
def series_of_videos(self, chapters):
icon = SVGMobject("video_icon")
icon.center()
icon.scale_to_fit_width(2*SPACE_WIDTH/12.)
icon.set_stroke(color = WHITE, width = 0)
icons = [icon.copy() for chapter in chapters.split()]
colors = Color(BLUE_A).range_to(BLUE_D, len(icons))
for icon, color in zip(icons, colors):
icon.set_fill(color, opacity = 1)
icons = VMobject(*icons)
icons.arrange_submobjects(RIGHT)
icons.to_edge(LEFT)
icons.shift(UP)
randy = Randolph()
randy.to_corner()
bubble = randy.get_bubble()
new_icons = icons.copy().scale(0.2)
bubble.position_mobject_inside(new_icons)
self.play(Transform(
chapters, icons,
path_arc = np.pi/2,
))
self.clear()
self.add(icons)
self.play(FadeIn(randy))
self.play(Blink(randy))
self.dither()
self.play(
ShowCreation(bubble),
Transform(icons, new_icons)
)
self.remove(icons)
bubble.make_green_screen()
self.dither()