diff options
Delete file5_vectorvf_helix.py
Diffstat (limited to 'FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions')
| -rw-r--r-- | FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file5_vectorvf_helix.py | 92 |
1 files changed, 0 insertions, 92 deletions
diff --git a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file5_vectorvf_helix.py b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file5_vectorvf_helix.py deleted file mode 100644 index fc151ac..0000000 --- a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file5_vectorvf_helix.py +++ /dev/null @@ -1,92 +0,0 @@ -from manimlib.imports import *
-
-class Helix(ThreeDScene):
- def construct(self):
- axes = ThreeDAxes() # creates a 3D Axis
-
- helix1=ParametricFunction(
- lambda u : np.array([
- 1.5*np.cos(u),
- 1.5*np.sin(u),
- u/4
- ]),color=PURPLE,t_min=-TAU,t_max=TAU,
- )
-
- helix2=ParametricFunction(
- lambda u : np.array([
- 2*np.cos(u),
- 2*np.sin(u),
- u/2
- ]),color=GREEN_C,t_min=-TAU,t_max=TAU,
- )
-
- function = TexMobject("f(", "r", ",", "\\theta", ")", "=", "[", "r", "\\cos", "\\theta", ",", "r", "\\sin" ,"\\theta", ",", "h" ,"\\theta", "]" ).scale(0.6).to_corner(UL)
- function.set_color_by_tex(r"\theta", BLUE_C)
- function.set_color_by_tex(r"r", RED_C)
- function.set_color_by_tex(r"\cos", GREEN_C)
- function.set_color_by_tex(r"\sin", YELLOW_C)
- function[0].set_color(ORANGE)
- function[4].set_color(ORANGE)
-
-
- self.add_fixed_in_frame_mobjects(function)
-
- self.set_camera_orientation(phi=60*DEGREES, theta = 45*DEGREES)
-
- self.add(axes)
-
- axis = TextMobject(r"X",r"Y",r"Z")
- axis[0].move_to(6*RIGHT)
- axis[1].move_to(6*UP)
- axis[2].move_to(np.array([0,0,3.7]))
-
- self.add_fixed_orientation_mobjects(axis[2])
- self.add_fixed_orientation_mobjects(axis[0])
- self.add_fixed_orientation_mobjects(axis[1])
-
-
- dot1 = Dot().rotate(PI/2).set_color(RED_C)
- alpha1 = ValueTracker(0)
- vector1 = self.get_vector(alpha1.get_value(),helix1)
- dot1.add_updater(lambda m: m.move_to(vector1.get_end()))
- self.play(
- ShowCreation(helix1),
- GrowFromCenter(dot1),
- GrowArrow(vector1)
- )
- vector1.add_updater(
- lambda m: m.become(
- self.get_vector(alpha1.get_value()%1,helix1)
- )
- )
- self.add(vector1,dot1)
- self.play(alpha1.increment_value, 1, run_time=10, rate_func=linear)
-
-
- self.play(FadeOut(vector1), FadeOut(dot1))
- self.play(ReplacementTransform(helix1, helix2))
-
-
- dot2 = Dot().rotate(PI/2).set_color(RED_C)
- alpha2 = ValueTracker(0)
- vector2 = self.get_vector(alpha2.get_value(),helix2)
- dot2.add_updater(lambda m: m.move_to(vector2.get_end()))
- self.play(
- ShowCreation(helix2),
- GrowFromCenter(dot2),
- GrowArrow(vector2)
- )
- vector2.add_updater(
- lambda m: m.become(
- self.get_vector(alpha2.get_value()%1,helix2)
- )
- )
- self.add(vector2,dot2)
- self.play(alpha2.increment_value, 1, run_time=10, rate_func=linear)
- self.wait()
-
-
-
- def get_vector(self, proportion, curve):
- vector = Line(np.array([0,0,0]), curve.point_from_proportion(proportion), color = YELLOW_C, buff=0)
- return vector
\ No newline at end of file |