def construct(self):
line = NumberLine()
self.add(line, *self.get_mobjects())
offset = LEFT+DOWN
vect = 2*RIGHT+UP
dots = VMobject(*[
Dot(offset + a*vect, radius = 0.075)
for a in np.linspace(-2, 3, 18)
])
dots.submobject_gradient_highlight(YELLOW_B, YELLOW_C)
func = self.get_matrix_transformation(self.t_matrix)
new_dots = VMobject(*[
Dot(
func(dot.get_center()),
color = dot.get_color(),
radius = dot.radius
)
for dot in dots
])
words = TextMobject(
"Line of dots remains evenly spaced"
)
words.next_to(line, UP, buff = MED_SMALL_BUFF)
self.play(Write(dots))
self.apply_transposed_matrix(
self.t_matrix,
added_anims = [Transform(dots, new_dots)]
)
self.play(Write(words))
self.dither()
def construct(self):
line = NumberLine()
self.add(line, *self.get_mobjects())
offset = LEFT+DOWN
vect = 2*RIGHT+UP
dots = VMobject(*[
Dot(offset + a*vect, radius = 0.075)
for a in np.linspace(-2, 3, 18)
])
dots.submobject_gradient_highlight(YELLOW_B, YELLOW_C)
func = self.get_matrix_transformation(self.t_matrix)
new_dots = VMobject(*[
Dot(
func(dot.get_center()),
color = dot.get_color(),
radius = dot.radius
)
for dot in dots
])
words = TextMobject(
"Line of dots remains evenly spaced"
)
words.next_to(line, UP, buff = MED_SMALL_BUFF)
self.play(Write(dots))
self.apply_transposed_matrix(
self.t_matrix,
added_anims = [Transform(dots, new_dots)]
)
self.play(Write(words))
self.wait()
def construct(self):
word = TextMobject("``Parallelepiped''")
word.scale(2)
pp_part1 = VMobject(*word.split()[:len(word.split()) / 2])
pp_part2 = VMobject(*word.split()[len(word.split()) / 2:])
pp_part1.submobject_gradient_highlight(X_COLOR, Y_COLOR)
pp_part2.submobject_gradient_highlight(Y_COLOR, Z_COLOR)
self.play(Write(word))
self.wait(2)
def construct(self):
word = TextMobject("``Parallelepiped''")
word.scale(2)
pp_part1 = VMobject(*word.split()[:len(word.split())/2])
pp_part2 = VMobject(*word.split()[len(word.split())/2:])
pp_part1.submobject_gradient_highlight(X_COLOR, Y_COLOR)
pp_part2.submobject_gradient_highlight(Y_COLOR, Z_COLOR)
self.play(Write(word))
self.dither(2)
def construct(self):
icon = SVGMobject("video_icon")
icon.center()
icon.scale_to_fit_width(2 * SPACE_WIDTH / 12.)
icon.set_stroke(color=WHITE, width=0)
icon.set_fill(WHITE, opacity=1)
icons = VMobject(*[icon.copy() for x in range(10)])
icons.submobject_gradient_highlight(BLUE_A, BLUE_D)
icons.arrange_submobjects(RIGHT)
icons.to_edge(LEFT)
self.play(FadeIn(icons, submobject_mode="lagged_start"), run_time=3)
self.wait()
def construct(self):
self.lock_in_faded_grid()
vectors = VMobject(*[
Vector([x, y])
for x in np.arange(-int(SPACE_WIDTH)+0.5, int(SPACE_WIDTH)+0.5)
for y in np.arange(-int(SPACE_HEIGHT)+0.5, int(SPACE_HEIGHT)+0.5)
])
vectors.submobject_gradient_highlight(PINK, BLUE_E)
words = TextMobject("Span")
words.scale(3)
words.to_edge(UP)
words.add_background_rectangle()
self.add(vectors, words)
def construct(self):
self.lock_in_faded_grid()
vectors = VMobject(*[
Vector([x, y]) for x in np.arange(-int(SPACE_WIDTH) + 0.5,
int(SPACE_WIDTH) + 0.5)
for y in np.arange(-int(SPACE_HEIGHT) + 0.5,
int(SPACE_HEIGHT) + 0.5)
])
vectors.submobject_gradient_highlight(PINK, BLUE_E)
words = TextMobject("Span")
words.scale(3)
words.to_edge(UP)
words.add_background_rectangle()
self.add(vectors, words)
def construct(self):
icon = SVGMobject("video_icon")
icon.center()
icon.scale_to_fit_width(2*SPACE_WIDTH/12.)
icon.set_stroke(color = WHITE, width = 0)
icon.set_fill(WHITE, opacity = 1)
icons = VMobject(*[icon.copy() for x in range(10)])
icons.submobject_gradient_highlight(BLUE_A, BLUE_D)
icons.arrange_submobjects(RIGHT)
icons.to_edge(LEFT)
self.play(
FadeIn(icons, submobject_mode = "lagged_start"),
run_time = 3
)
self.dither()
def construct(self):
matrix = Matrix([[1, 0, 0.5], [0.5, 1, 0], [1, 0, 1]])
matrix.shift(3 * LEFT)
matrix.highlight_columns(X_COLOR, Y_COLOR, Z_COLOR)
det_text = get_det_text(matrix)
eq = TexMobject("=")
eq.next_to(det_text, RIGHT)
words = TextMobject(["Volume of this\\\\", "parallelepiped"])
pp = words.split()[1]
pp_part1 = VMobject(*pp.split()[:len(pp.split()) / 2])
pp_part2 = VMobject(*pp.split()[len(pp.split()) / 2:])
pp_part1.submobject_gradient_highlight(X_COLOR, Y_COLOR)
pp_part2.submobject_gradient_highlight(Y_COLOR, Z_COLOR)
words.next_to(eq, RIGHT)
self.play(Write(matrix))
self.wait()
self.play(Write(det_text), Write(words), Write(eq))
self.wait()
def construct(self):
matrix = Matrix([[1, 0, 0.5], [0.5, 1, 0], [1, 0, 1]])
matrix.shift(3*LEFT)
matrix.highlight_columns(X_COLOR, Y_COLOR, Z_COLOR)
det_text = get_det_text(matrix)
eq = TexMobject("=")
eq.next_to(det_text, RIGHT)
words = TextMobject([
"Volume of this\\\\",
"parallelepiped"
])
pp = words.split()[1]
pp_part1 = VMobject(*pp.split()[:len(pp.split())/2])
pp_part2 = VMobject(*pp.split()[len(pp.split())/2:])
pp_part1.submobject_gradient_highlight(X_COLOR, Y_COLOR)
pp_part2.submobject_gradient_highlight(Y_COLOR, Z_COLOR)
words.next_to(eq, RIGHT)
self.play(Write(matrix))
self.dither()
self.play(Write(det_text), Write(words), Write(eq))
self.dither()
