Manim 示例代码大全：10 个经典场景速查（含渲染命令）
A quick-reference cookbook of ten runnable Manim scenes, each complete with its render command. Covers the patterns you will reuse most: writing text and LaTeX formulas, plotting functions on axes, morphing shapes with Transform and .animate, staggering animations with LaggedStart, building interactive-style scenes with ValueTracker and always_redraw, drawing graphs and networks with the Graph class, rotating 3D surfaces with ThreeDScene camera control, and highlighting parts of formulas with index-based coloring. Copy any block into a .py file and render with manim -pql. Each example links to the full tutorial chapter where the topic is explained in depth.
使用说明
每段代码独立可跑。保存为 demo.py 后执行对应渲染命令即可。全部示例基于 Manim CE v0.22.x。
1. Hello World（渐变文字）
class S01Hello(Scene):
def construct(self):
t = Text("Hello Manim", font_size=56, gradient=(BLUE, PURPLE))
self.play(Write(t), run_time=2)
self.wait()manim -pql demo.py S01Hello
2. 数学公式（MathTex）
class S02Formula(Scene):
def construct(self):
f = MathTex(r"\int_{-\infty}^{\infty} e^{-x^2}\,dx = \sqrt{\pi}",
font_size=60)
self.play(Write(f))
self.play(f.animate.set_color_by_tex("pi", YELLOW))
self.wait()公式排版细节见中文渲染与 LaTeX 配置。
3. 正弦函数图像
class S03Plot(Scene):
def construct(self):
axes = Axes(x_range=[-4, 4, 1], y_range=[-2, 2, 1],
x_length=9, y_length=4.5,
axis_config={"include_numbers": True})
curve = axes.plot(lambda x: np.sin(x), color=BLUE)
label = axes.get_graph_label(curve, "sin(x)", x_val=3)
self.play(Create(axes))
self.play(Create(curve), Write(label))
self.wait()坐标系完整用法见坐标系与函数图像。
4. 方形变圆（Transform）
class S04Morph(Scene):
def construct(self):
s = Square(color=YELLOW)
c = Circle(color=BLUE)
self.play(Create(s))
self.play(Transform(s, c), run_time=2)
self.wait()5. 依次点亮的点阵（LaggedStart）
class S05Dots(Scene):
def construct(self):
dots = VGroup(*[Dot(point=[-4 + i, np.sin(i), 0])
for i in np.linspace(0, 8, 17)])
self.play(LaggedStart(*[GrowFromCenter(d) for d in dots],
lag_ratio=0.12))
self.wait()编排语法详解见动画编排。
6. 滑动的点（ValueTracker）
class S06Tracker(Scene):
def construct(self):
tracker = ValueTracker(0)
dot = always_redraw(
lambda: Dot([tracker.get_value(), np.sin(tracker.get_value()), 0],
color=YELLOW))
axes = Axes(x_range=[0, 8, 2], y_range=[-2, 2, 1]).add_coordinates()
curve = axes.plot(lambda x: np.sin(x), color=BLUE)
self.add(axes, curve, dot)
self.play(tracker.animate.set_value(8), run_time=4, rate_func=linear)响应式图形见Updater 与 ValueTracker。
7. 网络图（Graph）
class S07Graph(Scene):
def construct(self):
g = Graph([1, 2, 3, 4, 5, 6],
[(1, 2), (2, 3), (3, 4), (4, 5), (5, 1), (2, 6)],
layout="spring", layout_config={"seed": 2},
labels=True, vertex_config={"color": BLUE})
self.play(Create(g))
self.play(g.animate.change_layout("circular"))
self.wait()树、布局算法见图与网络。
8. 3D 曲面
class S08Surface(ThreeDScene):
def construct(self):
axes = ThreeDAxes()
surf = Surface(
lambda u, v: axes.c2p(u, v, np.sin(u) * np.cos(v)),
u_range=[-3, 3], v_range=[-3, 3],
fill_opacity=0.6, checkerboard_colors=[BLUE_D, BLUE_E])
self.set_camera_orientation(phi=70 * DEGREES, theta=-45 * DEGREES)
self.add(axes)
self.play(Create(surf), run_time=3)
self.begin_ambient_camera_rotation(rate=0.15)
self.wait(3)相机与 3D 见3D 场景与相机。
9. 公式推导（对齐换行）
class S09Steps(Scene):
def construct(self):
steps = MathTex(
r"(a+b)^2", r"= a^2 + 2ab + b^2", r"= a^2 + b^2 + 2ab")
steps.arrange(DOWN, aligned_on=LEFT).to_edge(LEFT)
self.play(Write(steps[0]))
self.play(Write(steps[1]))
self.play(Write(steps[2]))10. 高亮公式片段（TransformMatchingTex）
class S10Match(Scene):
def construct(self):
eq1 = MathTex("1 + 1", "=", "2")
eq2 = MathTex("2", "=", "1 + 1")
self.play(Write(eq1))
self.play(TransformMatchingTex(eq1, eq2))
self.wait()TransformMatchingTex 会按 LaTeX 片段智能对位变形，是做公式推导动画最好用的工具，见Transform 家族。