def get_coordinate_labels(self, x_vals=None, y_vals=None):
result = []
if x_vals == None and y_vals == None:
x_vals = range(-int(self.x_radius), int(self.x_radius))
y_vals = range(-int(self.y_radius), int(self.y_radius))
for index, vals in enumerate([x_vals, y_vals]):
num_pair = [0, 0]
for val in vals:
num_pair[index] = val
point = self.num_pair_to_point(num_pair)
num = TexMobject(str(val))
num.scale_to_fit_height(self.written_coordinate_height)
num.shift(point - num.get_corner(UP + LEFT),
self.written_coordinate_nudge)
result.append(num)
return result
def get_coordinate_labels(self, x_vals=None, y_vals=None):
result = []
nudge = 0.1 * (DOWN + RIGHT)
if x_vals == None and y_vals == None:
x_vals = range(-int(self.x_radius), int(self.x_radius))
y_vals = range(-int(self.y_radius), int(self.y_radius))
for index, vals in zip([0, 1], [x_vals, y_vals]):
num_pair = [0, 0]
for val in vals:
num_pair[index] = val
point = self.num_pair_to_point(num_pair)
num = TexMobject(str(val))
num.scale(self.number_scale_factor)
num.shift(point - num.get_corner(UP + LEFT) + nudge)
result.append(num)
return result
def get_coordinate_labels(self, x_vals=None, y_vals=None):
result = []
nudge = 0.1 * (DOWN + RIGHT)
if x_vals == None and y_vals == None:
x_vals = range(-int(self.x_radius), int(self.x_radius))
y_vals = range(-int(self.y_radius), int(self.y_radius))
for index, vals in zip([0, 1], [x_vals, y_vals]):
num_pair = [0, 0]
for val in vals:
num_pair[index] = val
point = self.num_pair_to_point(num_pair)
num = TexMobject(str(val))
num.scale(self.number_scale_factor)
num.shift(point - num.get_corner(UP + LEFT) + nudge)
result.append(num)
return result
def get_coordinate_labels(self, x_vals = None, y_vals = None):
result = []
if x_vals == None and y_vals == None:
x_vals = range(-int(self.x_radius), int(self.x_radius))
y_vals = range(-int(self.y_radius), int(self.y_radius))
for index, vals in enumerate([x_vals, y_vals]):
num_pair = [0, 0]
for val in vals:
num_pair[index] = val
point = self.num_pair_to_point(num_pair)
num = TexMobject(str(val))
num.scale_to_fit_height(
self.written_coordinate_height
)
num.shift(
point-num.get_corner(UP+LEFT),
self.written_coordinate_nudge
)
result.append(num)
return result
def get_coordinate_labels(self, *numbers):
result = VGroup()
nudge = 0.1*(DOWN+RIGHT)
if len(numbers) == 0:
numbers = range(-int(self.x_radius), int(self.x_radius))
numbers += [
complex(0, y)
for y in range(-int(self.y_radius), int(self.y_radius))
]
for number in numbers:
point = self.number_to_point(number)
if number == 0:
num_str = "0"
else:
num_str = str(number).replace("j", "i")
num = TexMobject(num_str)
num.scale(self.number_scale_factor)
num.shift(point-num.get_corner(UP+LEFT)+nudge)
result.add(num)
return result
def get_coordinate_labels(self, *numbers):
result = []
nudge = 0.1*(DOWN+RIGHT)
if len(numbers) == 0:
numbers = range(-int(self.x_radius), int(self.x_radius))
numbers += [
complex(0, y)
for y in range(-int(self.y_radius), int(self.y_radius))
]
for number in numbers:
point = self.number_to_point(number)
if number == 0:
num_str = "0"
else:
num_str = str(number).replace("j", "i")
num = TexMobject(num_str)
num.scale(self.number_scale_factor)
num.shift(point-num.get_corner(UP+LEFT)+nudge)
result.append(num)
return result
def construct(self):
top = TOP()
times = top.put_in_vertex(0, TexMobject("\\times"))
times.highlight(YELLOW)
oplus = top.put_in_vertex(1, TexMobject("\\oplus"))
oplus.highlight(BLUE)
dot = top.put_in_vertex(2, Dot())
eight = top.put_on_vertex(2, TexMobject("8"))
self.add(top)
self.play(ShowCreation(eight))
for mob in dot, oplus, times:
self.play(ShowCreation(mob))
self.wait()
top.add(eight)
top.add(times, oplus, dot)
top1, top2, top3 = tops = [top.copy() for i in range(3)]
big_oplus = TexMobject("\\oplus").scale(2).highlight(BLUE)
equals = TexMobject("=")
equation = VMobject(top1, big_oplus, top2, equals, top3)
equation.arrange_submobjects()
top3.shift(0.5 * RIGHT)
x, y, xy = [
t.put_on_vertex(0, s) for t, s in zip(tops, ["x", "y", "xy"])
]
old_style_eq = TexMobject(
"\\dfrac{1}{\\frac{1}{\\log_x(8)} + \\frac{1}{\\log_y(8)}} = \\log_{xy}(8)"
)
old_style_eq.to_edge(UP).highlight(RED)
triple_top_copy = VMobject(*[top.copy() for i in range(3)])
self.clear()
self.play(Transform(triple_top_copy, VMobject(*tops)),
FadeIn(VMobject(x, y, xy, big_oplus, equals)))
self.remove(triple_top_copy)
self.add(*tops)
self.play(Write(old_style_eq))
self.wait(3)
syms = VMobject(x, y, xy)
new_syms = VMobject(*[
t.put_on_vertex(1, s)
for t, s in zip(tops, ["x", "y", "x \\oplus y"])
])
new_old_style_eq = TexMobject(
"\\sqrt[x]{8} \\sqrt[y]{8} = \\sqrt[X]{8}")
X = new_old_style_eq.split()[-4]
frac = TexMobject("\\frac{1}{\\frac{1}{x} + \\frac{1}{y}}")
frac.replace(X)
frac_lower_right = frac.get_corner(DOWN + RIGHT)
frac.scale(2)
frac.shift(frac_lower_right - frac.get_corner(DOWN + RIGHT))
new_old_style_eq.submobjects[-4] = frac
new_old_style_eq.to_edge(UP)
new_old_style_eq.highlight(RED)
big_times = TexMobject("\\times").highlight(YELLOW)
big_times.shift(big_oplus.get_center())
self.play(Transform(old_style_eq, new_old_style_eq),
Transform(syms, new_syms, path_arc=np.pi / 2),
Transform(big_oplus, big_times))
self.wait(4)
def construct(self):
top = TOP()
times = top.put_in_vertex(0, TexMobject("\\times"))
times.highlight(YELLOW)
oplus = top.put_in_vertex(1, TexMobject("\\oplus"))
oplus.highlight(BLUE)
dot = top.put_in_vertex(2, Dot())
eight = top.put_on_vertex(2, TexMobject("8"))
self.add(top)
self.play(ShowCreation(eight))
for mob in dot, oplus, times:
self.play(ShowCreation(mob))
self.dither()
top.add(eight)
top.add(times, oplus, dot)
top1, top2, top3 = tops = [
top.copy() for i in range(3)
]
big_oplus = TexMobject("\\oplus").scale(2).highlight(BLUE)
equals = TexMobject("=")
equation = VMobject(
top1, big_oplus, top2, equals, top3
)
equation.arrange_submobjects()
top3.shift(0.5*RIGHT)
x, y, xy = [
t.put_on_vertex(0, s)
for t, s in zip(tops, ["x", "y", "xy"])
]
old_style_eq = TexMobject(
"\\dfrac{1}{\\frac{1}{\\log_x(8)} + \\frac{1}{\\log_y(8)}} = \\log_{xy}(8)"
)
old_style_eq.to_edge(UP).highlight(RED)
triple_top_copy = VMobject(*[
top.copy() for i in range(3)
])
self.clear()
self.play(
Transform(triple_top_copy, VMobject(*tops)),
FadeIn(VMobject(x, y, xy, big_oplus, equals))
)
self.remove(triple_top_copy)
self.add(*tops)
self.play(Write(old_style_eq))
self.dither(3)
syms = VMobject(x, y, xy)
new_syms = VMobject(*[
t.put_on_vertex(1, s)
for t, s in zip(tops, ["x", "y", "x \\oplus y"])
])
new_old_style_eq = TexMobject(
"\\sqrt[x]{8} \\sqrt[y]{8} = \\sqrt[X]{8}"
)
X = new_old_style_eq.split()[-4]
frac = TexMobject("\\frac{1}{\\frac{1}{x} + \\frac{1}{y}}")
frac.replace(X)
frac_lower_right = frac.get_corner(DOWN+RIGHT)
frac.scale(2)
frac.shift(frac_lower_right - frac.get_corner(DOWN+RIGHT))
new_old_style_eq.submobjects[-4] = frac
new_old_style_eq.to_edge(UP)
new_old_style_eq.highlight(RED)
big_times = TexMobject("\\times").highlight(YELLOW)
big_times.shift(big_oplus.get_center())
self.play(
Transform(old_style_eq, new_old_style_eq),
Transform(syms, new_syms, path_arc = np.pi/2),
Transform(big_oplus, big_times)
)
self.dither(4)
