【Manim CE】常用Mobject与使用

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第一部分：向量化父类VMobject

本文所有物体都继承自此，故很多参数只在本部分阐述。

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VMobject继承自Mobject

V的意思是向量化的，vectorized mobject

fill_color=None,

fill_opacity=0.0,

stroke_color=None,

stroke_opacity=1.0,

stroke_width=DEFAULT_STROKE_WIDTH,

background_stroke_color=BLACK,

background_stroke_opacity=1.0,

background_stroke_width=0,

sheen_factor=0.0,

sheen_direction=UL,

close_new_points=False,

pre_function_handle_to_anchor_scale_factor=0.01,

make_smooth_after_applying_functions=False,

background_image=None,

shade_in_3d=False,

tolerance_for_point_equality=1e-6,

n_points_per_cubic_curve=4,

**kwargs

构造参数：

• fill_color 填充颜色
• fill_opacity 填充透明度
• stroke_color 边框颜色
• stroke_opacity 边框颜色透明度
• stroke_width 边框宽度
  • 注：DEFAULT_STROKE_WIDTH = 4
• background_stroke_color
• background_stroke_opacity
• background_stroke_width
• sheen_factor 物体的光泽
• sheen_direction 物体光泽的中心
• close_new_points Indicates that it will not be displayed, but that it should count in parent mobject’s path
• ...

 

第一节：几何

本节列举大量常用的几何图形。

manim.mobject.geometry

---

Circle 圆

manim.mobject.geometry.arc.Circle

radius: float | None = None,

color: Color | str = RED,

**kwargs,

构造参数：

• radius（float或None）圆的半径，例如 1
• color（str或Color）圆形的颜色，例如 WHITE
• **kwargs 附加参数

构造示例：

from manim import *  class CircleExample(Scene):     def construct(self):         circle_1 = Circle(radius=1.0)         circle_2 = Circle(radius=1.5, color=GREEN)         circle_3 = Circle(radius=1.0, color=BLUE_B, fill_opacity=1)          circle_group = Group(circle_1, circle_2, circle_3).arrange(buff=1)         self.add(circle_group)

 

Dot 点

manim.mobject.geometry.arc.Dot

point: list | np.ndarray = ORIGIN,

radius: float = DEFAULT_DOT_RADIUS,

stroke_width: float = 0,

fill_opacity: float = 1.0,

color: Color | str = WHITE,

构造参数：

• point（数组）屏幕坐标，例如 [0,0,0]
• radius（float）点的半径，例如 0.05
• stroke_width （float）点的轮廓宽度，例如 0.01
• fill_opacity（float）点内部的颜色，例如 YELLOW
• **kwargs 附加参数

构造示例：

from manim import *  class DotExample(Scene):     def construct(self):         dot1 = Dot(point=LEFT, radius=0.08)         dot2 = Dot(point=ORIGIN)         dot3 = Dot(point=RIGHT)         self.add(dot1,dot2,dot3)

 

Ellipse 椭圆

manim.mobject.geometry.arc.Ellipse

width: float = 2,

height: float = 1,

**kwargs

 构造参数：

• width（float）短轴
• height（float）长轴
• **kwargs 附加参数

 构造示例：

from manim import *  class EllipseExample(Scene):     def construct(self):         ellipse_1 = Ellipse(width=2.0, height=4.0, color=BLUE_B)         ellipse_2 = Ellipse(width=4.0, height=1.0, color=BLUE_D)         ellipse_group = Group(ellipse_1,ellipse_2).arrange(buff=1)         self.add(ellipse_group)

 

Angle 角

manim.mobject.geometry.line.Angle 

line1: Line,

line2: Line,

radius: float = None,

quadrant=(1, 1),

other_angle: bool = False,

dot=False,

dot_radius=None,

dot_distance=0.55,

dot_color=WHITE,

elbow=False,

**kwargs,

构造参数：

• line1（Line）起始线
  • 注：Line可以视为两个点坐标的集合，两点连成的线段。
• line2（Line）终止线
  • 注：line1、line2两条线不能平行
• radius（float）原点与角度弧线的距离半径
• quadrant 角度弧线的象限，可传入:(1,1) (1,-1) (-1,1) (-1,-1)
• other_angle（bool）从正方向画角度弧线
• dot（bool）弧度中心标记一个点，一般用于表示角度位置
• dot_radius（float）点的半径
• dot_distance（float）点离原点的距离
• elbow（bool）表示直角的角度折现
• **kwargs 附加参数

构造示例：

from manim import *  class RightArcAngleExample(Scene):     def construct(self):         line1 = Line( LEFT, RIGHT )         line2 = Line( DOWN, UP )         rightarcangles = [             Angle(line1, line2, dot=True),             Angle(line1, line2, radius=0.4, quadrant=(1,-1), dot=True, other_angle=False),             Angle(line1, line2, radius=0.5, quadrant=(-1,1), stroke_width=8, dot=True, dot_color=YELLOW, dot_radius=0.04, other_angle=True),             Angle(line1, line2, radius=0.7, quadrant=(-1,-1), color=RED, dot=True, dot_color=GREEN, dot_radius=0.08),         ]         plots = VGroup()         for angle in rightarcangles:             plot=VGroup(line1.copy(),line2.copy(), angle)             plots.add(plot)         plots.arrange(buff=1.5)         self.add(plots)

 

 

Line 线

manim.mobject.geometry.line.Line

start=LEFT,

end=RIGHT,

buff=0,

path_arc=None,

**kwargs

构造参数：

• start（list）起始点
• end（list）终点
• buff（float）两端点与可见线的距离
• **kwargs 附加参数

构造示例：

from manim import *  class LineExample(Scene):     def construct(self):         ax = Axes()         line1 = Line(ax.c2p(1,-3),ax.c2p(1,3),buff=0)         line2 = Line(ax.c2p(2,-3),ax.c2p(2,3),buff=1)         line3 = Line(ax.c2p(2,-3),ax.c2p(2,3),path_arc=PI)         self.add(ax,line1,line2,line3)

 

Rectangle 矩形

manim.mobject.geometry.polygram.Rectangle

color: Color = WHITE,

height: float = 2.0,

width: float = 4.0,

grid_xstep: float | None = None,

grid_ystep: float | None = None,

**kwargs,

构造参数：

• color（Color）颜色
• height（float）高度
• width（float）宽度
• grid_xstep（float或None）分割x
• gird_ystep（float或None）分割y
• **kwargs 附加参数

构造示例：

from manim import *  class RectangleExample(Scene):     def construct(self):         rect1 = Rectangle(width=4.0, height=2.0, grid_xstep=1.0, grid_ystep=0.5)         rect2 = Rectangle(width=1.0, height=4.0)          rects = Group(rect1,rect2).arrange(buff=1)         self.add(rects)

 

Square 正方形

manim.mobject.geometry.polygram.Square

side_length=2.0,

**kwargs

构造参数：

• side_length （float）边长
• **kwargs 构造参数

构造示例：

from manim import *  class SquareExample(Scene):     def construct(self):         square = Square(side_length=2.0,                      color=BLUE,fill_opacity=1,sheen_factor=0.8)         self.add(square)

 

 

Star 星

 manim.mobject.geometry.polygram.Star

n: int = 5,

*,

outer_radius: float = 1,

inner_radius: float | None = None,

density: int = 2,

start_angle: float | None = TAU / 4,

**kwargs,

 构造参数：

• n（int）节点数量
• outer_radius（float）外半径
• inner_radius（float）内半径
• density（）

 构造示例：

from manim import *  class StarExample(Scene):     def construct(self):         pentagram = RegularPolygram(5, radius=2).to_edge(LEFT)         star = Star(outer_radius=2, color=RED).next_to(pentagram,RIGHT)         sum = VGroup(             pentagram.copy().to_edge(RIGHT),             star.copy().to_edge(RIGHT))         self.add(pentagram,star,sum)

from manim import *  class StarExample(Scene):     def construct(self):         pentagram = RegularPolygram(7, radius=2).to_edge(LEFT)         star = Star(n=7,outer_radius=2, color=RED).next_to(pentagram,RIGHT)         sum = VGroup(             pentagram.copy().to_edge(RIGHT),             star.copy().to_edge(RIGHT))         self.add(pentagram,star,sum)

 

 Triangle 三角形

manim.mobject.geometry.polygram.Triangle 

构造参数：

• 无

 构造示例：

from manim import *  class TriangleExample(Scene):     def construct(self):         triangle_1 = Triangle()         triangle_2 = Triangle().scale(2).rotate(60*DEGREES)         tri_group = Group(triangle_1, triangle_2).arrange(buff=1)         self.add(tri_group)

 

SurroundingRectangle 环绕矩形

manim.mobject.geometry.shape_matchers.SurroundingRectangle

mobject,

color=YELLOW,

buff=SMALL_BUFF,

corner_radius=0.0,

**kwargs

构造参数：

• mobject（Mobject）被环绕的物体
• buff（float）边框与物体的距离
• corner_radius（float）边框圆角半径

构造示例：

from manim import *  class SurroundingRectExample(Scene):     def construct(self):         title = Title("Fourier Transform")         quote = Text(''' Generally speaking, the two ways to describe the same problem  can be called that they are the mutual transform to each other. ''',color=BLUE,         ).scale(0.75)         box = SurroundingRectangle(quote, color=YELLOW, buff=MED_LARGE_BUFF)          t2 = Tex(r"Hello World").scale(1.5)         box2 = SurroundingRectangle(t2, corner_radius=0.2)         mobjects = VGroup(VGroup(box, quote), VGroup(t2, box2)).arrange(DOWN)         self.add(title, mobjects)

 

Underline 下划线

manim.mobject.geometry.shape_matchers.Underline

mobject,

buff=SMALL_BUFF,

**kwargs

构造参数：

• mobject（Mobject）被标记下划线的物体
• buff（float）间距

构造示例：

from manim import *  class UnderLine(Scene):     def construct(self):         man = MathTex("Manim enspace Remoo")  # Full Word         ul = Underline(man)  # Underlining the word         self.add(man, ul)

 

 

第二节：数学图像

本节主要尽可能详细的列举需要使用的数学图像VMobject。

manim.mobject.graphing

---

 Axes 直角坐标

manim.mobject.graphing.coordinate_systems.Axes

x_range: Sequence[float] | None = None,

y_range: Sequence[float] | None = None,

x_length: float | None = round(config.frame_width) - 2,

y_length: float | None = round(config.frame_height) - 2,

axis_config: dict | None = None,

x_axis_config: dict | None = None,

y_axis_config: dict | None = None,

tips: bool = True,

**kwargs,

构造参数：

• x_range（Sequence[float]）坐标的横坐标范围，序列  [左边界,右边界,步进]
• y_range（Sequence[float]）坐标的纵坐标范围，序列  [下边界,上边界,步进]
• x_length（float）坐标物体Mobject的宽度
• y_length（float）坐标物体Mobject的高度
• axis_config（dict）坐标参数集
• x_axis_config 同上
• y_axis_config 同上
• tips（bool）坐标箭头

构造示例：

from manim import *  class AxesExample(Scene):     def construct(self):         ax1 = Axes(             x_range=[-2*2*PI,2*2*PI,PI],             y_range=[-1,1,0.5],             x_length=6,             tips=True).to_edge(LEFT)         graph1 = ax1.plot(lambda x : np.sin(x))         ax2 = Axes(             x_range=[-1,4,1],             y_range=[-2,2,1],             x_length=6,             tips=False).to_edge(RIGHT)         graph2 = VGroup(*(Dot(ax2.c2p(x-1,2-x)) for x in range(5)))          self.add(ax1,graph1,ax2,graph2)

from manim import *  class LogScalingExample(Scene):     def construct(self):         ax = Axes(             x_range=[0, 10, 1],             y_range=[-2, 6, 1],             tips=False,             axis_config={"include_numbers": True},             y_axis_config={"scaling": LogBase(custom_labels=True)},         )          graph = ax.plot(lambda x: x ** 2, x_range=[0.001, 10,0.01])         self.add(ax, graph)

 

NumberPlane 数轴