diff --git a/src/spatialdata_plot/pl/basic.py b/src/spatialdata_plot/pl/basic.py
index 2dd9019f..6171ac5f 100644
--- a/src/spatialdata_plot/pl/basic.py
+++ b/src/spatialdata_plot/pl/basic.py
@@ -5,7 +5,7 @@
 from collections import OrderedDict
 from copy import deepcopy
 from pathlib import Path
-from typing import Any
+from typing import Any, Literal
 
 import matplotlib.pyplot as plt
 import numpy as np
@@ -170,6 +170,7 @@ def render_shapes(
         method: str | None = None,
         table_name: str | None = None,
         table_layer: str | None = None,
+        shape: Literal["circle", "hex", "square"] | None = None,
         **kwargs: Any,
     ) -> sd.SpatialData:
         """
@@ -232,6 +233,9 @@ def render_shapes(
         table_layer: str | None
             Layer of the table to use for coloring if `color` is in :attr:`sdata.table.var_names`. If None, the data in
             :attr:`sdata.table.X` is used for coloring.
+        shape: Literal["circle", "hex", "square"] | None
+            If None (default), the shapes are rendered as they are. Else, if either of "circle", "hex" or "square" is
+            specified, the shapes are converted to a circle/hexagon/square before rendering.
 
         **kwargs : Any
             Additional arguments for customization. This can include:
@@ -276,6 +280,7 @@ def render_shapes(
             scale=scale,
             table_name=table_name,
             table_layer=table_layer,
+            shape=shape,
             method=method,
             ds_reduction=kwargs.get("datashader_reduction"),
         )
@@ -304,6 +309,7 @@ def render_shapes(
                 transfunc=kwargs.get("transfunc"),
                 table_name=param_values["table_name"],
                 table_layer=param_values["table_layer"],
+                shape=param_values["shape"],
                 zorder=n_steps,
                 method=param_values["method"],
                 ds_reduction=param_values["ds_reduction"],
diff --git a/src/spatialdata_plot/pl/render.py b/src/spatialdata_plot/pl/render.py
index 52297005..f280da3f 100644
--- a/src/spatialdata_plot/pl/render.py
+++ b/src/spatialdata_plot/pl/render.py
@@ -35,6 +35,7 @@
 )
 from spatialdata_plot.pl.utils import (
     _ax_show_and_transform,
+    _convert_shapes,
     _create_image_from_datashader_result,
     _datashader_aggregate_with_function,
     _datashader_map_aggregate_to_color,
@@ -160,6 +161,15 @@ def _render_shapes(
     trans, trans_data = _prepare_transformation(sdata_filt.shapes[element], coordinate_system)
 
     shapes = gpd.GeoDataFrame(shapes, geometry="geometry")
+    # convert shapes if necessary
+    if render_params.shape is not None:
+        current_type = shapes["geometry"].type
+        if not (render_params.shape == "circle" and (current_type == "Point").all()):
+            logger.info(f"Converting {shapes.shape[0]} shapes to {render_params.shape}.")
+            max_extent = np.max(
+                [shapes.total_bounds[2] - shapes.total_bounds[0], shapes.total_bounds[3] - shapes.total_bounds[1]]
+            )
+            shapes = _convert_shapes(shapes, render_params.shape, max_extent)
 
     # Determine which method to use for rendering
     method = render_params.method
@@ -183,17 +193,15 @@ def _render_shapes(
         # Handle circles encoded as points with radius
         if is_point.any():
             scale = shapes[is_point]["radius"] * render_params.scale
-            sdata_filt.shapes[element].loc[is_point, "geometry"] = _geometry[is_point].buffer(scale.to_numpy())
+            shapes.loc[is_point, "geometry"] = _geometry[is_point].buffer(scale.to_numpy())
 
         # apply transformations to the individual points
         element_trans = get_transformation(sdata_filt.shapes[element], to_coordinate_system=coordinate_system)
         tm = _get_transformation_matrix_for_datashader(element_trans)
-        transformed_element = sdata_filt.shapes[element].transform(
-            lambda x: (np.hstack([x, np.ones((x.shape[0], 1))]) @ tm)[:, :2]
-        )
+        transformed_element = shapes.transform(lambda x: (np.hstack([x, np.ones((x.shape[0], 1))]) @ tm)[:, :2])
         transformed_element = ShapesModel.parse(
             gpd.GeoDataFrame(
-                data=sdata_filt.shapes[element].drop("geometry", axis=1),
+                data=shapes.drop("geometry", axis=1),
                 geometry=transformed_element,
             )
         )
diff --git a/src/spatialdata_plot/pl/render_params.py b/src/spatialdata_plot/pl/render_params.py
index b44175c3..d446a5a5 100644
--- a/src/spatialdata_plot/pl/render_params.py
+++ b/src/spatialdata_plot/pl/render_params.py
@@ -90,6 +90,7 @@ class ShapesRenderParams:
     zorder: int = 0
     table_name: str | None = None
     table_layer: str | None = None
+    shape: Literal["circle", "hex", "square"] | None = None
     ds_reduction: Literal["sum", "mean", "any", "count", "std", "var", "max", "min"] | None = None
 
 
diff --git a/src/spatialdata_plot/pl/utils.py b/src/spatialdata_plot/pl/utils.py
index a2e8f767..90d202c4 100644
--- a/src/spatialdata_plot/pl/utils.py
+++ b/src/spatialdata_plot/pl/utils.py
@@ -1,5 +1,6 @@
 from __future__ import annotations
 
+import math
 import os
 import warnings
 from collections import OrderedDict
@@ -51,6 +52,7 @@
 from scanpy.plotting._tools.scatterplots import _add_categorical_legend
 from scanpy.plotting._utils import add_colors_for_categorical_sample_annotation
 from scanpy.plotting.palettes import default_20, default_28, default_102
+from scipy.spatial import ConvexHull
 from skimage.color import label2rgb
 from skimage.morphology import erosion, square
 from skimage.segmentation import find_boundaries
@@ -1709,6 +1711,14 @@ def _type_check_params(param_dict: dict[str, Any], element_type: str) -> dict[st
         if size < 0:
             raise ValueError("Parameter 'size' must be a positive number.")
 
+    if element_type == "shapes" and (shape := param_dict.get("shape")) is not None:
+        if not isinstance(shape, str):
+            raise TypeError("Parameter 'shape' must be a String from ['circle', 'hex', 'square'] if not None.")
+        if shape not in ["circle", "hex", "square"]:
+            raise ValueError(
+                f"'{shape}' is not supported for 'shape', please choose from[None, 'circle', 'hex', 'square']."
+            )
+
     table_name = param_dict.get("table_name")
     table_layer = param_dict.get("table_layer")
     if table_name and not isinstance(param_dict["table_name"], str):
@@ -1920,6 +1930,7 @@ def _validate_shape_render_params(
     scale: float | int,
     table_name: str | None,
     table_layer: str | None,
+    shape: Literal["circle", "hex", "square"] | None,
     method: str | None,
     ds_reduction: str | None,
 ) -> dict[str, dict[str, Any]]:
@@ -1939,6 +1950,7 @@ def _validate_shape_render_params(
         "scale": scale,
         "table_name": table_name,
         "table_layer": table_layer,
+        "shape": shape,
         "method": method,
         "ds_reduction": ds_reduction,
     }
@@ -1959,6 +1971,7 @@ def _validate_shape_render_params(
         element_params[el]["norm"] = param_dict["norm"]
         element_params[el]["scale"] = param_dict["scale"]
         element_params[el]["table_layer"] = param_dict["table_layer"]
+        element_params[el]["shape"] = param_dict["shape"]
 
         element_params[el]["color"] = param_dict["color"]
 
@@ -2086,7 +2099,7 @@ def _validate_image_render_params(
 def _get_wanted_render_elements(
     sdata: SpatialData,
     sdata_wanted_elements: list[str],
-    params: (ImageRenderParams | LabelsRenderParams | PointsRenderParams | ShapesRenderParams),
+    params: ImageRenderParams | LabelsRenderParams | PointsRenderParams | ShapesRenderParams,
     cs: str,
     element_type: Literal["images", "labels", "points", "shapes"],
 ) -> tuple[list[str], list[str], bool]:
@@ -2243,7 +2256,7 @@ def _create_image_from_datashader_result(
 
 
 def _datashader_aggregate_with_function(
-    reduction: (Literal["sum", "mean", "any", "count", "std", "var", "max", "min"] | None),
+    reduction: Literal["sum", "mean", "any", "count", "std", "var", "max", "min"] | None,
     cvs: Canvas,
     spatial_element: GeoDataFrame | dask.dataframe.core.DataFrame,
     col_for_color: str | None,
@@ -2307,7 +2320,7 @@ def _datashader_aggregate_with_function(
 
 
 def _datshader_get_how_kw_for_spread(
-    reduction: (Literal["sum", "mean", "any", "count", "std", "var", "max", "min"] | None),
+    reduction: Literal["sum", "mean", "any", "count", "std", "var", "max", "min"] | None,
 ) -> str:
     # Get the best input for the how argument of ds.tf.spread(), needed for numerical values
     reduction = reduction or "sum"
@@ -2350,15 +2363,15 @@ def _prepare_transformation(
 
 def _get_datashader_trans_matrix_of_single_element(
     trans: Identity | Scale | Affine | MapAxis | Translation,
-) -> npt.NDArray[Any]:
+) -> ArrayLike:
     flip_matrix = np.array([[1, 0, 0], [0, -1, 0], [0, 0, 1]])
-    tm: npt.NDArray[Any] = trans.to_affine_matrix(("x", "y"), ("x", "y"))
+    tm: ArrayLike = trans.to_affine_matrix(("x", "y"), ("x", "y"))
 
     if isinstance(trans, Identity):
         return np.array([[1, 0, 0], [0, 1, 0], [0, 0, 1]])
     if isinstance(trans, (Scale | Affine)):
         # idea: "flip the y-axis", apply transformation, flip back
-        flip_and_transform: npt.NDArray[Any] = flip_matrix @ tm @ flip_matrix
+        flip_and_transform: ArrayLike = flip_matrix @ tm @ flip_matrix
         return flip_and_transform
     if isinstance(trans, MapAxis):
         # no flipping needed
@@ -2369,7 +2382,7 @@ def _get_datashader_trans_matrix_of_single_element(
 
 def _get_transformation_matrix_for_datashader(
     trans: Scale | Identity | Affine | MapAxis | Translation | SDSequence,
-) -> npt.NDArray[Any]:
+) -> ArrayLike:
     """Get the affine matrix needed to transform shapes for rendering with datashader."""
     if isinstance(trans, SDSequence):
         tm = np.array([[1, 0, 0], [0, 1, 0], [0, 0, 1]])
@@ -2478,3 +2491,121 @@ def _hex_no_alpha(hex: str) -> str:
         return "#" + hex_digits[:6]
 
     raise ValueError("Invalid hex color length: must be either '#RRGGBB' or '#RRGGBBAA'")
+
+
+def _convert_shapes(
+    shapes: GeoDataFrame, target_shape: str, max_extent: float, warn_above_extent_fraction: float = 0.5
+) -> GeoDataFrame:
+    """Convert the shapes stored in a GeoDataFrame (geometry column) to the target_shape."""
+    # NOTE: possible follow-up: when converting equally sized shapes to hex, automatically scale resulting hexagons
+    # so that they are perfectly adjacent to each other
+
+    if warn_above_extent_fraction < 0.0 or warn_above_extent_fraction > 1.0:
+        warn_above_extent_fraction = 0.5  # set to default if the value is outside [0, 1]
+    warn_shape_size = False
+
+    # define individual conversion methods
+    def _circle_to_hexagon(center: shapely.Point, radius: float) -> tuple[shapely.Polygon, None]:
+        vertices = [
+            (center.x + radius * math.cos(math.radians(angle)), center.y + radius * math.sin(math.radians(angle)))
+            for angle in range(0, 360, 60)
+        ]
+        return shapely.Polygon(vertices), None
+
+    def _circle_to_square(center: shapely.Point, radius: float) -> tuple[shapely.Polygon, None]:
+        vertices = [
+            (center.x + radius * math.cos(math.radians(angle)), center.y + radius * math.sin(math.radians(angle)))
+            for angle in range(45, 360, 90)
+        ]
+        return shapely.Polygon(vertices), None
+
+    def _circle_to_circle(center: shapely.Point, radius: float) -> tuple[shapely.Point, float]:
+        return center, radius
+
+    def _polygon_to_hexagon(polygon: shapely.Polygon) -> tuple[shapely.Polygon, None]:
+        center, radius = _polygon_to_circle(polygon)
+        return _circle_to_hexagon(center, radius)
+
+    def _polygon_to_square(polygon: shapely.Polygon) -> tuple[shapely.Polygon, None]:
+        center, radius = _polygon_to_circle(polygon)
+        return _circle_to_square(center, radius)
+
+    def _polygon_to_circle(polygon: shapely.Polygon) -> tuple[shapely.Point, float]:
+        coords = np.array(polygon.exterior.coords)
+        circle_points = coords[ConvexHull(coords).vertices]
+        center = np.mean(circle_points, axis=0)
+        radius = max(float(np.linalg.norm(p - center)) for p in circle_points)
+        assert isinstance(radius, float)  # shut up mypy
+        if 2 * radius > max_extent * warn_above_extent_fraction:
+            nonlocal warn_shape_size
+            warn_shape_size = True
+        return shapely.Point(center), radius
+
+    def _multipolygon_to_hexagon(multipolygon: shapely.MultiPolygon) -> tuple[shapely.Polygon, None]:
+        center, radius = _multipolygon_to_circle(multipolygon)
+        return _circle_to_hexagon(center, radius)
+
+    def _multipolygon_to_square(multipolygon: shapely.MultiPolygon) -> tuple[shapely.Polygon, None]:
+        center, radius = _multipolygon_to_circle(multipolygon)
+        return _circle_to_square(center, radius)
+
+    def _multipolygon_to_circle(multipolygon: shapely.MultiPolygon) -> tuple[shapely.Point, float]:
+        coords = []
+        for polygon in multipolygon.geoms:
+            coords.extend(polygon.exterior.coords)
+        points = np.array(coords)
+        circle_points = points[ConvexHull(points).vertices]
+        center = np.mean(circle_points, axis=0)
+        radius = max(float(np.linalg.norm(p - center)) for p in circle_points)
+        assert isinstance(radius, float)  # shut up mypy
+        if 2 * radius > max_extent * warn_above_extent_fraction:
+            nonlocal warn_shape_size
+            warn_shape_size = True
+        return shapely.Point(center), radius
+
+    # define dict with all conversion methods
+    if target_shape == "circle":
+        conversion_methods = {
+            "Point": _circle_to_circle,
+            "Polygon": _polygon_to_circle,
+            "Multipolygon": _multipolygon_to_circle,
+        }
+        pass
+    elif target_shape == "hex":
+        conversion_methods = {
+            "Point": _circle_to_hexagon,
+            "Polygon": _polygon_to_hexagon,
+            "Multipolygon": _multipolygon_to_hexagon,
+        }
+    else:
+        conversion_methods = {
+            "Point": _circle_to_square,
+            "Polygon": _polygon_to_square,
+            "Multipolygon": _multipolygon_to_square,
+        }
+
+    # convert every shape
+    for i in range(shapes.shape[0]):
+        if shapes["geometry"][i].type == "Point":
+            converted, radius = conversion_methods["Point"](shapes["geometry"][i], shapes["radius"][i])  # type: ignore
+        elif shapes["geometry"][i].type == "Polygon":
+            converted, radius = conversion_methods["Polygon"](shapes["geometry"][i])  # type: ignore
+        elif shapes["geometry"][i].type == "MultiPolygon":
+            converted, radius = conversion_methods["Multipolygon"](shapes["geometry"][i])  # type: ignore
+        else:
+            error_type = shapes["geometry"][i].type
+            raise ValueError(f"Converting shape {error_type} to {target_shape} is not supported.")
+        shapes["geometry"][i] = converted
+        if radius is not None:
+            if "radius" not in shapes.columns:
+                shapes["radius"] = np.nan
+            shapes["radius"][i] = radius
+
+    if warn_shape_size:
+        logger.info(
+            f"When converting the shapes, the size of at least one target shape extends "
+            f"{warn_above_extent_fraction * 100}% of the original total bound of the shapes. The conversion"
+            " might not give satisfying results in this scenario."
+        )
+
+    return shapes
diff --git a/tests/_images/Shapes_can_render_circles_to_hex.png b/tests/_images/Shapes_can_render_circles_to_hex.png
new file mode 100644
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diff --git a/tests/_images/Shapes_can_render_circles_to_square.png b/tests/_images/Shapes_can_render_circles_to_square.png
new file mode 100644
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diff --git a/tests/_images/Shapes_can_render_multipolygons_to_circle.png b/tests/_images/Shapes_can_render_multipolygons_to_circle.png
new file mode 100644
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diff --git a/tests/_images/Shapes_can_render_polygons_to_circle.png b/tests/_images/Shapes_can_render_polygons_to_circle.png
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diff --git a/tests/_images/Shapes_can_render_polygons_to_hex.png b/tests/_images/Shapes_can_render_polygons_to_hex.png
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diff --git a/tests/_images/Shapes_can_render_polygons_to_square.png b/tests/_images/Shapes_can_render_polygons_to_square.png
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diff --git a/tests/_images/Shapes_datashader_can_render_circles_to_hex.png b/tests/_images/Shapes_datashader_can_render_circles_to_hex.png
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diff --git a/tests/_images/Shapes_datashader_can_render_multipolygons_to_circle.png b/tests/_images/Shapes_datashader_can_render_multipolygons_to_circle.png
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diff --git a/tests/_images/Shapes_datashader_can_render_polygons_to_circle.png b/tests/_images/Shapes_datashader_can_render_polygons_to_circle.png
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diff --git a/tests/_images/Shapes_datashader_can_render_polygons_to_hex.png b/tests/_images/Shapes_datashader_can_render_polygons_to_hex.png
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diff --git a/tests/_images/Shapes_datashader_can_render_polygons_to_square.png b/tests/_images/Shapes_datashader_can_render_polygons_to_square.png
new file mode 100644
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diff --git a/tests/_images/Shapes_datashader_can_transform_circles.png b/tests/_images/Shapes_datashader_can_transform_circles.png
index 60cde073..a67f9daa 100644
Binary files a/tests/_images/Shapes_datashader_can_transform_circles.png and b/tests/_images/Shapes_datashader_can_transform_circles.png differ
diff --git a/tests/pl/test_render_shapes.py b/tests/pl/test_render_shapes.py
index 953eb843..9bcc01ab 100644
--- a/tests/pl/test_render_shapes.py
+++ b/tests/pl/test_render_shapes.py
@@ -562,3 +562,51 @@ def test_plot_can_annotate_shapes_with_table_layer(self, sdata_blobs: SpatialDat
         sdata_blobs["circle_table"].layers["normalized"] = RNG.random((nrows, ncols))
 
         sdata_blobs.pl.render_shapes("blobs_circles", color="feature0", table_layer="normalized").pl.show()
+
+    def test_plot_can_render_circles_to_hex(self, sdata_blobs: SpatialData):
+        sdata_blobs.pl.render_shapes(element="blobs_circles", shape="hex").pl.show()
+
+    def test_plot_can_render_circles_to_square(self, sdata_blobs: SpatialData):
+        sdata_blobs.pl.render_shapes(element="blobs_circles", shape="square").pl.show()
+
+    def test_plot_can_render_polygons_to_hex(self, sdata_blobs: SpatialData):
+        sdata_blobs.pl.render_shapes(element="blobs_polygons", shape="hex").pl.show()
+
+    def test_plot_can_render_polygons_to_square(self, sdata_blobs: SpatialData):
+        sdata_blobs.pl.render_shapes(element="blobs_polygons", shape="square").pl.show()
+
+    def test_plot_can_render_polygons_to_circle(self, sdata_blobs: SpatialData):
+        sdata_blobs.pl.render_shapes(element="blobs_polygons", shape="circle").pl.show()
+
+    def test_plot_can_render_multipolygons_to_hex(self, sdata_blobs: SpatialData):
+        sdata_blobs.pl.render_shapes(element="blobs_multipolygons", shape="hex").pl.show()
+
+    def test_plot_can_render_multipolygons_to_square(self, sdata_blobs: SpatialData):
+        sdata_blobs.pl.render_shapes(element="blobs_multipolygons", shape="square").pl.show()
+
+    def test_plot_can_render_multipolygons_to_circle(self, sdata_blobs: SpatialData):
+        sdata_blobs.pl.render_shapes(element="blobs_multipolygons", shape="circle").pl.show()
+
+    def test_plot_datashader_can_render_circles_to_hex(self, sdata_blobs: SpatialData):
+        sdata_blobs.pl.render_shapes(element="blobs_circles", shape="hex", method="datashader").pl.show()
+
+    def test_plot_datashader_can_render_circles_to_square(self, sdata_blobs: SpatialData):
+        sdata_blobs.pl.render_shapes(element="blobs_circles", shape="square", method="datashader").pl.show()
+
+    def test_plot_datashader_can_render_polygons_to_hex(self, sdata_blobs: SpatialData):
+        sdata_blobs.pl.render_shapes(element="blobs_polygons", shape="hex", method="datashader").pl.show()
+
+    def test_plot_datashader_can_render_polygons_to_square(self, sdata_blobs: SpatialData):
+        sdata_blobs.pl.render_shapes(element="blobs_polygons", shape="square", method="datashader").pl.show()
+
+    def test_plot_datashader_can_render_polygons_to_circle(self, sdata_blobs: SpatialData):
+        sdata_blobs.pl.render_shapes(element="blobs_polygons", shape="circle", method="datashader").pl.show()
+
+    def test_plot_datashader_can_render_multipolygons_to_hex(self, sdata_blobs: SpatialData):
+        sdata_blobs.pl.render_shapes(element="blobs_multipolygons", shape="hex", method="datashader").pl.show()
+
+    def test_plot_datashader_can_render_multipolygons_to_square(self, sdata_blobs: SpatialData):
+        sdata_blobs.pl.render_shapes(element="blobs_multipolygons", shape="square", method="datashader").pl.show()
+
+    def test_plot_datashader_can_render_multipolygons_to_circle(self, sdata_blobs: SpatialData):
+        sdata_blobs.pl.render_shapes(element="blobs_multipolygons", shape="circle", method="datashader").pl.show()