manim 3D graphing

Scene1

创造三维曲线并移动摄像机

class myjob(ThreeDScene):  # 继承3DScene
    def construct(self):

        axes = ThreeDAxes(
            x_range=[-6,6,1],  # 错误点1，原本写成了x_range=[-6,-6,1]
            y_range=[-6,6,1],
            z_range=[-6,6,1],
            x_length=8,
            y_length=6,
            z_length=6
        )

        graph = axes.plot(lambda x : x**2, x_range=[-2,2,1], color=YELLOW)
        rects = axes.get_riemann_rectangles(graph=graph, x_range=[-2,2], dx=0.1, stroke_color=WHITE)  # 错误点2，原本写成了get_riemann_rectangle（少了s）

        graph2 = axes.plot_parametric_curve(lambda t : np.array([np.cos(t), np.sin(t), t]), t_range=[-2*PI, 2*PI], color=RED)  # 注意旧版本为get_parametric_graph，现已废弃

        self.add(axes, graph)
        self.wait()

        # the camera is auto set to phi = 0 and theta = -90

        self.move_camera(phi = 60*DEGREES)
        self.wait()
        self.move_camera(theta = -45*DEGREES)

        self.begin_ambient_camera_rotation(rate=PI/10, about="theta")

        self.wait()
        self.play(Create(rects), run_time=3)
        self.play(Create(graph2))
        self.wait()
        self.stop_ambient_camera_rotation()

        self.wait()
        self.begin_ambient_camera_rotation(rate=PI/10, about="phi")
        self.wait()
        self.stop_ambient_camera_rotation()

 

Scene2

创建三维曲面并移动摄像机

class myjob(ThreeDScene):
    def construct(self):
        self.set_camera_orientation(phi = 60*DEGREES, theta = -45*DEGREES)

        axes = ThreeDAxes()
        
        graph = axes.plot(lambda x : x**2, x_range=[-2,2], color=YELLOW)
        surface = Surface(  # 旧版为ParametricSurface，已摒弃
            lambda u,v : axes.c2p(v*np.cos(u), v*np.sin(u), 0.5*v**2),  # 猜想为coordinates to point
            u_range=[0,2*PI],  # 旧版为u_min和u_max，已摒弃
            v_range=[0,3],
            checkerboard_colors={GREEN,RED}
            )

        three_d_stuff=VGroup(axes, graph, surface)

        self.add(axes, graph)
        self.begin_ambient_camera_rotation(rate=PI/20)
        self.play(Create(surface))
        self.play(three_d_stuff.animate.shift(LEFT*5))

 

Scene3

创造旋转平面形成曲面的动画

class myjob(ThreeDScene):
    def construct(self):
        self.set_camera_orientation(phi = 45*DEGREES, theta = -45*DEGREES)

        axes = ThreeDAxes(y_range=[-3,10,3],y_length=7).add_coordinates()
        
        graph = axes.plot(lambda x : x, x_range=[0,3], color=RED_B)

        area = axes.get_area(graph=graph, x_range=[0,3])

        e=ValueTracker(0)

        surface = always_redraw(
            lambda : Surface(
            lambda u,v : axes.c2p(v, v*np.cos(u), v*np.sin(u)),
            u_range=[0,e.get_value()],
            v_range=[0,3],
            checkerboard_colors={GREEN,PURPLE}
            )
        )

        self.add(axes, surface)
        self.begin_ambient_camera_rotation(rate=PI/15)
        self.play(LaggedStart(Create(surface), Create(area)))
        self.play(
            Rotating(area, axis=RIGHT, radians=2*PI, about_point=axes.c2p(0,0,0)),
            e.animate.set_value(2*PI),
            run_time=6,
            rate_func=linear
            )
        self.stop_ambient_camera_rotation()
        self.wait()