diff --git a/tdcgal/plane/objects.py b/tdcgal/plane/objects.py
index 4679f4f..4b3fdb9 100644
--- a/tdcgal/plane/objects.py
+++ b/tdcgal/plane/objects.py
@@ -435,4 +435,49 @@ class Triangle2D(Shape2D, Triangle_2):
     def __repr__(self) -> str:
         return f"Triangle2D(points: {[self.vertex(i) for i in range(3)]})"
     
-    
\ No newline at end of file
+    
+# Iso-rectangle类
+class IsoRectangle2D(Shape2D, Iso_rectangle_2):
+    def __init__(
+        self,
+        opposite_vertices: Tuple[
+            Union[Point2D, Tuple[float, float]],
+            Union[Point2D, Tuple[float, float]],
+        ] = None,
+        points: Tuple[
+            Union[Point2D, Tuple[float, float]],
+            Union[Point2D, Tuple[float, float]],
+            Union[Point2D, Tuple[float, float]],    
+            Union[Point2D, Tuple[float, float]],
+        ] = None,
+        homogenizing_coordinate: Tuple[float, float, float, float, float,float] = None,
+        **kwargs,
+    ):
+        """
+        Iso-rectangle2D的初始化方法
+
+        Args:
+            opposite_vertices: 两个对角顶点
+            points: 四个点分别为p1、p2、p3、p4, 则其最小x坐标为p1的x坐标,最大x坐标为p2的x坐标, 最小y坐标为p3的y坐标, 最大y坐标为p4的y坐标
+            homogenizing_coordinate: 引入一个等向矩形r，其对角线方向的顶点为(min_hx/hw, min_hy/hw)和(max_hx/hw, max_hy/hw). 其中`hw != 0`
+        """
+        Shape2D.__init__(self, **kwargs)
+        if opposite_vertices is not None:
+            v1 = point_maker(opposite_vertices[0])
+            v2 = point_maker(opposite_vertices[1])
+            Iso_rectangle_2.__init__(self, v1, v2)
+        elif points is not None:
+            points = [point_maker(p) for p in points]
+            Iso_rectangle_2.__init__(self, *points)
+        elif homogenizing_coordinate is not None:
+            Iso_rectangle_2.__init__(self, *homogenizing_coordinate)
+        else:
+            raise ValueError("Invalid input for IsoRectangle2D")
+        
+    # 重载`repr`方法，返回IsoRectangle2D的字符串表示
+    def __repr__(self) -> str:
+        return f"IsoRectangle2D(vertices: {[self.vertex(i) for i in range(4)]})"
+
+    # 返回第index个顶点
+    def __getitem__(self, index: int) -> Point2D:
+        return self.vertex(index)