from manim import *

class IntersectionScene(ThreeDScene):
    def construct(self):
        # конус
        radius = 1
        height = 2

        surface = Surface(
            lambda u, v: np.array([
                radius * v * np.cos(u),
                radius * v * np.sin(u),
                height * (1 - v)
            ]),
            u_range=[0, 2 * PI],
            v_range=[0, 1],
            resolution=(20, 20),
        ).set_color(TEAL, 0.6).set_fill(TEAL, 0.6)

        # плоскость
        plane = Surface(
            lambda u, v: np.array([u, v, z.get_value()]),
            u_range=[-2, 2],
            v_range=[-2, 2],
            resolution=(20, 20),
        ).set_color(YELLOW, 0.6).set_fill(YELLOW, 0.6)

        # пересечение
        intersection = always_redraw(lambda:
            Intersection(
                surface, plane,
                fill_color = GREEN,
                fill_opacity = 1,
                stroke_color = GREEN,
                stroke_opacity = 1
            )
        )

        self.set_camera_orientation(phi=75 * DEGREES, theta=45 * DEGREES)
        self.add(surface, plane, intersection)
        self.wait()
        self.play(plane.animate.shift(2 * OUT), run_time = 4)
        self.wait()