diff --git a/manim/mobject/geometry/polygram.py b/manim/mobject/geometry/polygram.py
index 2a2ca133f9..fd991a1471 100644
--- a/manim/mobject/geometry/polygram.py
+++ b/manim/mobject/geometry/polygram.py
@@ -51,10 +51,11 @@ class Polygram(VMobject, metaclass=ConvertToOpenGL):
     Parameters
     ----------
     vertex_groups
-        The groups of vertices making up the :class:`Polygram`.
+        A 2D numpy array of shape (N,3) where N is the number of points, each such points
+        itself being a 1D numpy array of shape (3,), for example: ``[x,y,z]``.
+        These points are the vertices making up the :class:`Polygram`.
 
         The first vertex in each group is repeated to close the shape.
-        Each point must be 3-dimensional: ``[x,y,z]``
     color
         The color of the :class:`Polygram`.
     kwargs
@@ -305,7 +306,17 @@ class Polygon(Polygram):
     Parameters
     ----------
     vertices
-        The vertices of the :class:`Polygon`.
+        The vertices (i.e. corner points) of the :class:`Polygon`.
+        It is a 2D numpy array of shape (N, 3), when passed in New style.
+        To keep backwards compatibility, users can pass vertices either in New style or in Legacy style:
+
+        New style: `vertices` is a 2D array of shape (N, 3) where N is the number of corner points that make up the
+        Polygon. Each point should be a 1D numpy array of shape (3,) representing a point in 3D space.
+        Example: Polygon(np.array([...]))
+
+        Legacy style: Individual points (i.e. individual vertices) are passed one after another, separated by commas.
+        Example: Polygon([-5, 1.5, 0], [-2, 1.5, 0], [-3.5, -2, 0])
+
     kwargs
         Forwarded to the parent constructor.
 
@@ -316,7 +327,7 @@ class Polygon(Polygram):
 
         class PolygonExample(Scene):
             def construct(self):
-                isosceles = Polygon([-5, 1.5, 0], [-2, 1.5, 0], [-3.5, -2, 0])
+                isosceles = Polygon([[-5, 1.5, 0], [-2, 1.5, 0], [-3.5, -2, 0]])  # New style
                 position_list = [
                     [4, 1, 0],  # middle right
                     [4, -2.5, 0],  # bottom right
@@ -325,12 +336,21 @@ def construct(self):
                     [2, 1, 0],  # middle
                     [4, 3, 0],  # top right
                 ]
-                square_and_triangles = Polygon(*position_list, color=PURPLE_B)
+                square_and_triangles = Polygon(*position_list, color=PURPLE_B)  # legacy style
                 self.add(isosceles, square_and_triangles)
     """
 
-    def __init__(self, *vertices: Point3DLike, **kwargs: Any) -> None:
-        super().__init__(vertices, **kwargs)
+    def __init__(
+        self,
+        vertices: Point3DLike_Array | Point3DLike,
+        *args: Point3DLike,
+        **kwargs: Any,
+    ) -> None:
+        if args:
+            all_vertices = np.array([vertices, *args], dtype=float)
+        else:
+            all_vertices = np.array(vertices, dtype=float)
+        super().__init__(all_vertices, **kwargs)
 
 
 class RegularPolygram(Polygram):