diff --git a/pygmt/src/pygmtlogo.py b/pygmt/src/pygmtlogo.py
index 60cbfa777a5..962ac0ec8d6 100644
--- a/pygmt/src/pygmtlogo.py
+++ b/pygmt/src/pygmtlogo.py
@@ -75,7 +75,7 @@ def _create_logo(  # noqa: PLR0915
             hex_factor = 1.0
         case "hexagon":
             symbol = "h"
-            size_shape = (r0 + 0.34) * 2
+            size_shape = (r0 + r1) / np.cos(np.deg2rad(30))
             hex_factor = 1.1
 
     # Define wordmark
@@ -93,7 +93,7 @@ def _create_logo(  # noqa: PLR0915
             fontsize = size * 2.0 / pygmtwidth
             args_wordmark = {
                 "x": -size - fontsize * plsb,
-                "y": -size * 1.375,  # Center of the wordmark.
+                "y": -size * (1.375 if shape == "circle" else 1.5),
                 "justify": "ML",
                 "font": f"{fontsize}c,{font}",
                 "no_clip": True,  # Needed because x<xmin.
@@ -266,7 +266,7 @@ def _compass_lines():
             halfheight = pheight / 2.0 * fontsize
             fig.hlines(y=[-halfheight, halfheight], xmin=size, pen=pen)
             fig.vlines(x=[size * 1.25, size * 1.25 + pstroke * fontsize], pen=pen)
-        elif wordmark == "vertical":
+        elif wordmark == "vertical" and shape == "circle":
             fig.hlines(y=-size * 1.375, pen=pen)
 
     if figname:
diff --git a/pygmt/tests/baseline/test_pygmtlogo_design_hexagon-horizontal.png.dvc b/pygmt/tests/baseline/test_pygmtlogo_design_hexagon-horizontal.png.dvc
new file mode 100644
index 00000000000..ea880e8ee7b
--- /dev/null
+++ b/pygmt/tests/baseline/test_pygmtlogo_design_hexagon-horizontal.png.dvc
@@ -0,0 +1,5 @@
+outs:
+- md5: 1ab652c5ba076ee29a0c1c1c336bf281
+  size: 357515
+  hash: md5
+  path: test_pygmtlogo_design_hexagon-horizontal.png
diff --git a/pygmt/tests/baseline/test_pygmtlogo_design_hexagon-vertical.png.dvc b/pygmt/tests/baseline/test_pygmtlogo_design_hexagon-vertical.png.dvc
new file mode 100644
index 00000000000..28ff688f976
--- /dev/null
+++ b/pygmt/tests/baseline/test_pygmtlogo_design_hexagon-vertical.png.dvc
@@ -0,0 +1,5 @@
+outs:
+- md5: c917b7e40da71eed0e05a8525ddc2e56
+  size: 196043
+  hash: md5
+  path: test_pygmtlogo_design_hexagon-vertical.png
diff --git a/pygmt/tests/baseline/test_pygmtlogo_wordmark_horizontal_hexagon.png.dvc b/pygmt/tests/baseline/test_pygmtlogo_wordmark_horizontal_hexagon.png.dvc
new file mode 100644
index 00000000000..a0c344b992e
--- /dev/null
+++ b/pygmt/tests/baseline/test_pygmtlogo_wordmark_horizontal_hexagon.png.dvc
@@ -0,0 +1,5 @@
+outs:
+- md5: a2af1063edc39f78976bce5a6ff76bef
+  size: 55897
+  hash: md5
+  path: test_pygmtlogo_wordmark_horizontal_hexagon.png
diff --git a/pygmt/tests/baseline/test_pygmtlogo_wordmark_none_hexagon.png.dvc b/pygmt/tests/baseline/test_pygmtlogo_wordmark_none_hexagon.png.dvc
new file mode 100644
index 00000000000..8f4a83f7d14
--- /dev/null
+++ b/pygmt/tests/baseline/test_pygmtlogo_wordmark_none_hexagon.png.dvc
@@ -0,0 +1,5 @@
+outs:
+- md5: f821a40456a61abe7859685cc90080a9
+  size: 28794
+  hash: md5
+  path: test_pygmtlogo_wordmark_none_hexagon.png
diff --git a/pygmt/tests/baseline/test_pygmtlogo_wordmark_vertical_hexagon.png.dvc b/pygmt/tests/baseline/test_pygmtlogo_wordmark_vertical_hexagon.png.dvc
new file mode 100644
index 00000000000..990571c3375
--- /dev/null
+++ b/pygmt/tests/baseline/test_pygmtlogo_wordmark_vertical_hexagon.png.dvc
@@ -0,0 +1,5 @@
+outs:
+- md5: 56740518206c886f12656a31a953b003
+  size: 37585
+  hash: md5
+  path: test_pygmtlogo_wordmark_vertical_hexagon.png
diff --git a/pygmt/tests/test_pygmtlogo.py b/pygmt/tests/test_pygmtlogo.py
index 5346e1d1b15..feaf9c1a3d4 100644
--- a/pygmt/tests/test_pygmtlogo.py
+++ b/pygmt/tests/test_pygmtlogo.py
@@ -10,7 +10,7 @@
 
 @pytest.mark.mpl_image_compare(savefig_kwargs={"dpi": 600})
 @pytest.mark.parametrize("wordmark", ["horizontal", "vertical"])
-@pytest.mark.parametrize("shape", ["circle"])
+@pytest.mark.parametrize("shape", ["circle", "hexagon"])
 def test_pygmtlogo_design(shape, wordmark):
     """
     Test the design details of the PyGMT logo with a wordmark.
@@ -24,7 +24,7 @@ def test_pygmtlogo_design(shape, wordmark):
 
 
 @pytest.mark.mpl_image_compare
-@pytest.mark.parametrize("shape", ["circle"])
+@pytest.mark.parametrize("shape", ["circle", "hexagon"])
 def test_pygmtlogo_wordmark_none(shape):
     """
     Test the PyGMT logo without the wordmark, including both light/dark themes, and
@@ -52,7 +52,7 @@ def test_pygmtlogo_wordmark_none(shape):
 
 
 @pytest.mark.mpl_image_compare
-@pytest.mark.parametrize("shape", ["circle"])
+@pytest.mark.parametrize("shape", ["circle", "hexagon"])
 def test_pygmtlogo_wordmark_horizontal(shape):
     """
     Test the PyGMT logo with a horizontal wordmark, including both light/dark themes,
@@ -81,7 +81,7 @@ def test_pygmtlogo_wordmark_horizontal(shape):
 
 
 @pytest.mark.mpl_image_compare
-@pytest.mark.parametrize("shape", ["circle"])
+@pytest.mark.parametrize("shape", ["circle", "hexagon"])
 def test_pygmtlogo_wordmark_vertical(shape):
     """
     Test the PyGMT logo with a vertical wordmark, including both light/dark themes,