from manimlib.imports import * class tnb(ThreeDScene): def construct(self): self.set_camera_orientation(phi = 75*DEGREES, theta=45*DEGREES) t = TextMobject(r'T', color = YELLOW) n = TextMobject(r'N', color = BLUE).next_to(t, RIGHT, buff=0) b = TextMobject(r'B', color = GREEN_E).next_to(n, RIGHT, buff=0) frame = TextMobject(r'Frame').next_to(b, RIGHT, buff=0.2) text = VGroup(*[t,n,b,frame]).move_to(ORIGIN).shift(3*UP) helix1 = ParametricFunction( lambda t: np.array([ np.cos(TAU*t), np.sin(TAU*t), 0.4*t ]), t_min = -2*np.pi/3, t_max = -1.638*np.pi/3, color = WHITE ) helix2 = ParametricFunction( lambda t: np.array([ np.cos(TAU*t), np.sin(TAU*t), 0.4*t ]), t_min = -1.638*np.pi/3, t_max = -1.33*np.pi/3, color = WHITE ) helix3 = ParametricFunction( lambda t: np.array([ np.cos(TAU*t), np.sin(TAU*t), 0.4*t ]), t_min = -1.33*np.pi/3, t_max = -np.pi/3, color = WHITE ) helix4 = ParametricFunction( lambda t: np.array([ np.cos(TAU*t), np.sin(TAU*t), 0.4*t ]), t_min = -np.pi/3, t_max = -1.3*np.pi/6, color = WHITE ) helix5 = ParametricFunction( lambda t: np.array([ np.cos(TAU*t), np.sin(TAU*t), 0.4*t ]), t_min = -1.3*np.pi/6, t_max = 0, color = WHITE ) helix_dot = Dot(radius = 0.16, color = RED) dot0 = Dot(np.array([np.cos(-2*np.pi/3), np.sin(-2*np.pi/3), -0.8*np.pi/3]), radius = 0.16, color=RED).shift(np.array([4.65,0,-0.8])) tgt0 = Arrow((0,0,0), (1,2,0), color = YELLOW).shift(dot0.get_center() - np.array([0.04,0.2,0])) nm0 = Arrow((0,0,0), (-2,1,0), color = BLUE).shift(dot0.get_center() + np.array([0.3,0,0])) bnm0 = Arrow((0,0,0), (0,2,0), color = GREEN_E).shift(6.1*LEFT + 3*DOWN) plane0 = Square(color = DARK_BROWN, fill_color = WHITE, fill_opacity=0.3).shift(dot0.get_center() + np.array([-0.35, 0.85, 0])).scale(1.2).rotate(65*DEGREES) point0 = VGroup(*[dot0, tgt0, nm0, bnm0, plane0]).scale(0.8).shift(np.array([1,0,0])) dot1 = Dot(np.array([np.cos(-np.pi/3), np.sin(-np.pi/3), -0.4*np.pi/3]) + np.array([0,0.2,0]), radius = 0.16, color=RED) tgt1 = Arrow((0,0,0), (-2,-0.55,0), color = YELLOW).shift(dot1.get_center() + np.array([0.18,0.04,0])) nm1 = Arrow((0,0,0), (0.4,-2,0), color = BLUE).shift(dot1.get_center() + np.array([0,0.26,0])) bnm1 = Arrow((0,0,0), (0,2,0), color=GREEN_E).shift(3.68*RIGHT+2.48*DOWN) plane1 = Square(color = DARK_BROWN, fill_color = WHITE, fill_opacity=0.3).shift(dot1.get_center() + np.array([-0.4, -0.6, 0])).rotate(13*DEGREES).scale(1.2) point1 = VGroup(*[dot1, tgt1, nm1, plane1]).scale(0.8).shift(np.array([1,6.25,0])) dot2 = Dot(np.array([np.cos(-np.pi/6), np.sin(-np.pi/6), -0.2*np.pi/3]) - np.array([1.9,0,0]), radius=0.16,color=RED) tgt2 = Arrow((0,0,0), (1,-2,0), color = YELLOW).shift(dot2.get_center() + np.array([-0.2,0.2,0])) nm2 = Arrow((0,0,0), (2,1,0), color = BLUE).shift(dot2.get_center() + np.array([-0.2,-0.06,0])) bnm2 = Arrow((0,0,0), (0,2,0), color=GREEN_E).shift(0.4*RIGHT + 0.16*DOWN) plane2 = Square(color = DARK_BROWN, fill_color = WHITE, fill_opacity=0.3).shift(dot2.get_center() + np.array([0.92, -0.5, 0])).rotate(23*DEGREES).scale(1.2) point2 = VGroup(*[dot2, tgt2, nm2, bnm2, plane2]) helix = VGroup(*[helix1, helix2, helix3, helix4, helix5]) self.add_fixed_in_frame_mobjects(text) self.play(FadeIn(helix), FadeIn(text)) self.play(ApplyMethod(helix.scale, 4)) self.add_fixed_in_frame_mobjects(bnm0) self.play(FadeIn(point0)) self.play(ApplyMethod(point0.set_color, GRAY, opacity = 0.1), MoveAlongPath(helix_dot, helix1, run_time=5)) self.add_fixed_in_frame_mobjects(bnm1) self.play(FadeIn(point1)) self.play(ApplyMethod(point1.set_color, GRAY, opacity = 0.1), ApplyMethod(bnm1.set_color, GRAY, opacity = 0.1), MoveAlongPath(helix_dot, helix2, run_time = 5)) self.add_fixed_in_frame_mobjects(bnm2) self.play(FadeIn(point2)) self.play(ApplyMethod(point2.set_color, GRAY, opacity = 0.1), MoveAlongPath(helix_dot, helix3, run_time=5)) dot3 = Dot(np.array([np.cos(-np.pi/3), np.sin(-np.pi/3), -0.4*np.pi/3]) + np.array([3.3,-0.25,0]), radius = 0.16, color=RED) tgt3 = Arrow((0,0,0), (0,2,0), color = YELLOW).shift(helix_dot.get_center() - np.array([-0.05,0.2,0])) nm3 = Arrow((0,0,0), (-2,0,0), color = BLUE).shift(helix_dot.get_center() + np.array([0.25,0,0])) bnm3 = Arrow((0,0,0), (0,2,0), color = GREEN_E).shift(3.87*LEFT + 1.24*DOWN) plane3 = Square(color = DARK_BROWN, fill_color = WHITE, fill_opacity=0.3).shift(helix_dot.get_center() + np.array([-0.5, 0.62, 0])) point3 = VGroup(*[dot3, tgt3, nm3, bnm3, plane3]).shift(np.array([0,0,0])) dot4 = Dot(np.array([np.cos(-np.pi/12), np.sin(-np.pi/12), -0.1*np.pi/3]) + np.array([-3.4,3.4,0]), radius = 0.16, color=RED) tgt4 = Arrow((0,0,0), (-2,-0.85,0), color = YELLOW).shift(dot4.get_center() - np.array([-0.05,0,0])) nm4 = Arrow((0,0,0), (0.8,-2,0), color = BLUE).shift(dot4.get_center() + np.array([-0.1,0.25,0])) bnm4 = Arrow((0,0,0), (0,2,0), color = GREEN_E).shift(4.03*RIGHT + 0.5*DOWN) plane4 = Square(color = DARK_BROWN, fill_color = WHITE, fill_opacity=0.3).shift(dot4.get_center() + np.array([-0.4,-1,0])).rotate(22*DEGREES).scale(1.2) point4 = VGroup(*[dot4, tgt4, nm4, bnm4, plane4]) dot5 = Dot((1,0,0) + np.array([2.3,-1,1])) tgt5 = Arrow((0,0,0), (0,2,0), color = YELLOW).shift(dot5.get_center() - np.array([-0.05,0.2,0])) nm5 = Arrow((0,0,0), (-2,0,0), color = BLUE).shift(dot5.get_center() + np.array([0.25,0,0])) bnm5 = Arrow((0,0,0), (0,2,0), color = GREEN_E).shift(3.34*LEFT+0.3*UP) plane5 = Square(color = DARK_BROWN, fill_color = WHITE, fill_opacity=0.3).shift(dot5.get_center() + np.array([-0.5,0.5,0])) point5 = VGroup(*[tgt5, nm5, bnm5, plane5]) self.add_fixed_in_frame_mobjects(bnm3) self.play(FadeIn(point3)) self.play(ApplyMethod(point3.set_color, GRAY, opacity = 0.1), MoveAlongPath(helix_dot, helix4, run_time=5)) self.add_fixed_in_frame_mobjects(bnm4) self.play(FadeIn(point4)) self.play(ApplyMethod(point4.set_color, GRAY, opacity = 0.1), MoveAlongPath(helix_dot, helix5, run_time=5)) self.add_fixed_in_frame_mobjects(bnm5) self.play(FadeIn(point5)) self.wait(2) self.play(FadeOut(VGroup(*[text, helix, bnm1, point0, point1, point2, point3, point4, point5, helix_dot])))