def generate_points(self):
self.cell_height = float(self.height) / self.nrows
self.cell_width = float(self.width) / self.nrows
self.bottom_left = (self.cell_width * self.nrows / 2.0)*LEFT + \
(self.cell_height * self.nrows / 2.0)*DOWN
num_to_num_mob = {}
self.coords_to_mobs = {}
self.coords = [(n, k) for n in range(self.nrows) for k in range(n + 1)]
for n, k in self.coords:
num = choose(n, k)
center = self.coords_to_center(n, k)
num_mob = self.submob_class(n, k) #TexMobject(str(num))
scale_factor = min(
1,
self.portion_to_fill * self.cell_height / num_mob.get_height(),
self.portion_to_fill * self.cell_width / num_mob.get_width(),
)
num_mob.center().scale(scale_factor).shift(center)
if n not in self.coords_to_mobs:
self.coords_to_mobs[n] = {}
self.coords_to_mobs[n][k] = num_mob
self.add(*[self.coords_to_mobs[n][k] for n, k in self.coords])
return self
def bezier(points):
n = len(points) - 1
return lambda t: sum([((1 - t)**(n - k)) * (t**k) * choose(n, k) * point
for k, point in enumerate(points)])
def combinationMobject(n, k):
return Integer(choose(n, k))
def bezier(points):
n = len(points) - 1
return lambda t: sum([
((1 - t)**(n - k)) * (t**k) * choose(n, k) * point
for k, point in enumerate(points)
])