diff --git a/mbcp/mp_math/equation.py b/mbcp/mp_math/equation.py
new file mode 100644
index 0000000..e6a2a03
--- /dev/null
+++ b/mbcp/mp_math/equation.py
@@ -0,0 +1,38 @@
+# -*- coding: utf-8 -*-
+"""
+Copyright (C) 2020-2024 LiteyukiStudio. All Rights Reserved 
+
+@Time    : 2024/8/9 上午11:32
+@Author  : snowykami
+@Email   : snowykami@outlook.com
+@File    : equation.py
+@Software: PyCharm
+"""
+import numpy as np
+
+from .point import Point3
+from .mp_math_typing import ONE_VARIABLE_FUNC, TWO_VARIABLES_FUNC, THREE_VARIABLES_FUNC
+
+class CurveEquation:
+    def __init__(self, x_func: ONE_VARIABLE_FUNC, y_func: ONE_VARIABLE_FUNC, z_func: ONE_VARIABLE_FUNC):
+        """
+        曲线方程。
+        :param x_func:
+        :param y_func:
+        :param z_func:
+        """
+        self.x_func = x_func
+        self.y_func = y_func
+        self.z_func = z_func
+
+    def __call__(self, *t: float) -> "Point3" | tuple["Point3"]:
+        if len(t) == 1:
+            return Point3(self.x_func(t[0]), self.y_func(t[0]), self.z_func(t[0]))
+        else:
+            # np加速
+            ...
+
+
+
+    def __str__(self):
+        return "CurveEquation()"
diff --git a/mbcp/mp_math/mp_math_typing.py b/mbcp/mp_math/mp_math_typing.py
new file mode 100644
index 0000000..6ee2c73
--- /dev/null
+++ b/mbcp/mp_math/mp_math_typing.py
@@ -0,0 +1,18 @@
+# -*- coding: utf-8 -*-
+"""
+Copyright (C) 2020-2024 LiteyukiStudio. All Rights Reserved 
+
+@Time    : 2024/8/9 上午11:35
+@Author  : snowykami
+@Email   : snowykami@outlook.com
+@File    : mp_math_typing.py
+@Software: PyCharm
+"""
+from typing import Callable, Iterable, TypeAlias
+
+"""自变量"""
+VAR: TypeAlias = float | Iterable[float]  # 为后期支持多维矢量化做准备
+
+ONE_VARIABLE_FUNC: TypeAlias = Callable[[VAR], float]
+TWO_VARIABLES_FUNC: TypeAlias = Callable[[VAR, VAR], float]
+THREE_VARIABLES_FUNC: TypeAlias = Callable[[VAR, VAR, VAR], float]
diff --git a/mbcp/mp_math/point.py b/mbcp/mp_math/point.py
index 5fe7b84..bfd5ed6 100644
--- a/mbcp/mp_math/point.py
+++ b/mbcp/mp_math/point.py
@@ -5,7 +5,7 @@ if TYPE_CHECKING:
 
 
 class Point3:
-    def __init__(self, x, y, z):
+    def __init__(self, x: float, y: float, z: float):
         """
         笛卡尔坐标系中的点。
         :param x:
diff --git a/mbcp/mp_math/segment.py b/mbcp/mp_math/segment.py
index db3f328..d4d3afa 100644
--- a/mbcp/mp_math/segment.py
+++ b/mbcp/mp_math/segment.py
@@ -17,14 +17,14 @@ if TYPE_CHECKING:
 
 
 class Segment3:
-    def __init__(self, start: "Point3", end: "Point3"):
+    def __init__(self, p1: "Point3", p2: "Point3"):
         """
         三维空间中的线段。
-        :param start:
-        :param end:
+        :param p1:
+        :param p2:
         """
-        self._start = start
-        self._end = end
+        self._start = p1
+        self._end = p2
 
         """方向向量"""
         self._direction = self._end - self._start
diff --git a/mbcp/mp_math/utils.py b/mbcp/mp_math/utils.py
new file mode 100644
index 0000000..4a6b795
--- /dev/null
+++ b/mbcp/mp_math/utils.py
@@ -0,0 +1,24 @@
+# -*- coding: utf-8 -*-
+"""
+Copyright (C) 2020-2024 LiteyukiStudio. All Rights Reserved 
+
+@Time    : 2024/8/12 下午9:16
+@Author  : snowykami
+@Email   : snowykami@outlook.com
+@File    : utils.py
+@Software: PyCharm
+"""
+
+
+def clamp(x: float, min_: float, max_: float) -> float:
+    """
+    区间截断函数。
+    Args:
+        x:
+        min_:
+        max_:
+
+    Returns:
+        限制后的值
+    """
+    return max(min(x, max_), min_)
diff --git a/mbcp/mp_math/vector.py b/mbcp/mp_math/vector.py
index 5ab7995..fa987fd 100644
--- a/mbcp/mp_math/vector.py
+++ b/mbcp/mp_math/vector.py
@@ -1,11 +1,13 @@
 from typing import overload, TYPE_CHECKING
 
+import numpy as np
+
 if TYPE_CHECKING:
     from .point import Point3  # type: ignore
 
 
 class Vector3:
-    def __init__(self, x, y, z):
+    def __init__(self, x: float, y: float, z: float):
         """
         笛卡尔坐标系中的向量。
         :param x:
@@ -72,6 +74,16 @@ class Vector3:
             self._normalized = self / self.length
         return self._normalized
 
+    def normalize(self):
+        """
+        自体归一化。
+        """
+        self._x /= self.length
+        self._y /= self.length
+        self._z /= self.length
+        self._length = 1
+        self._normalized = self
+
     @overload
     def __add__(self, other: 'Vector3') -> 'Vector3':
         ...
@@ -81,6 +93,12 @@ class Vector3:
         ...
 
     def __add__(self, other):
+        """
+        V + P -> P\n
+        V + V -> V
+        :param other:
+        :return:
+        """
         if isinstance(other, Vector3):
             return Vector3(self._x + other.x, self._y + other.y, self._z + other.z)
         elif isinstance(other, Point3):
@@ -89,6 +107,12 @@ class Vector3:
             raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")
 
     def __radd__(self, other: 'Point3') -> 'Point3':
+        """
+        P + V -> P\n
+        别去点那边实现了。
+        :param other:
+        :return:
+        """
         return Point3(self._x + other.x, self._y + other.y, self._z + other.z)
 
     @overload
@@ -101,7 +125,7 @@ class Vector3:
 
     def __sub__(self, other):
         """
-        V - P -> P
+        V - P -> P\n
         V - V -> V
         :param other:
         :return:
diff --git a/mbcp/particle/__init__.py b/mbcp/particle/__init__.py
new file mode 100644
index 0000000..9e19d4c
--- /dev/null
+++ b/mbcp/particle/__init__.py
@@ -0,0 +1,10 @@
+# -*- coding: utf-8 -*-
+"""
+Copyright (C) 2020-2024 LiteyukiStudio. All Rights Reserved 
+
+@Time    : 2024/8/12 下午8:54
+@Author  : snowykami
+@Email   : snowykami@outlook.com
+@File    : __init__.py.py
+@Software: PyCharm
+"""
\ No newline at end of file
diff --git a/mbcp/presets/__init__.py b/mbcp/presets/__init__.py
new file mode 100644
index 0000000..f5f59a1
--- /dev/null
+++ b/mbcp/presets/__init__.py
@@ -0,0 +1,10 @@
+# -*- coding: utf-8 -*-
+"""
+Copyright (C) 2020-2024 LiteyukiStudio. All Rights Reserved 
+
+@Time    : 2024/8/12 下午9:12
+@Author  : snowykami
+@Email   : snowykami@outlook.com
+@File    : __init__.py
+@Software: PyCharm
+"""
\ No newline at end of file
diff --git a/mbcp/presets/model/__init__.py b/mbcp/presets/model/__init__.py
new file mode 100644
index 0000000..26c7333
--- /dev/null
+++ b/mbcp/presets/model/__init__.py
@@ -0,0 +1,28 @@
+# -*- coding: utf-8 -*-
+"""
+几何模型点集
+"""
+import numpy as np
+from mbcp.mp_math.point import Point3
+from mbcp.mp_math.utils import clamp  # type: ignore
+
+
+class GeometricModels:
+    @staticmethod
+    def sphere(radius: float, density: float):
+        """
+        生成球体上的点集。
+        Args:
+            radius:
+            density:
+        Returns:
+            List[Point3]: 球体上的点集。
+        """
+        area = 4 * np.pi * radius ** 2  # 球表面积
+        num = int(area * density)  # 粒子数
+        phi_list = np.arccos([clamp(-1 + ((2.0 * _ - 1.0) / num), -1, 1) for _ in range(num)])
+        theta_list = np.sqrt(num * np.pi) * phi_list
+        x_array = radius * np.sin(phi_list) * np.cos(theta_list)
+        y_array = radius * np.sin(phi_list) * np.sin(theta_list)
+        z_array = radius * np.cos(phi_list)
+        return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]
diff --git a/requirements.txt b/requirements.txt
index df16fec..a2325b4 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -1 +1,2 @@
-pytest~=8.3.2
\ No newline at end of file
+pytest~=8.3.2
+numpy~=2.0.1
\ No newline at end of file