diff --git a/math/polymake/Makefile b/math/polymake/Makefile
index 5620aadad5959..4b945d7938b81 100644
--- a/math/polymake/Makefile
+++ b/math/polymake/Makefile
@@ -1,6 +1,5 @@
 PORTNAME=	polymake
-DISTVERSION=	4.9
-PORTREVISION=	1
+DISTVERSION=	4.10
 CATEGORIES=	math
 MASTER_SITES=	https://polymake.org/lib/exe/fetch.php/download/
 DISTNAME=	${PORTNAME}-${DISTVERSION}-minimal
diff --git a/math/polymake/distinfo b/math/polymake/distinfo
index 7c561e65dfdb0..44d0bebb3b27e 100644
--- a/math/polymake/distinfo
+++ b/math/polymake/distinfo
@@ -1,3 +1,3 @@
-TIMESTAMP = 1679756190
-SHA256 (polymake-4.9-minimal.tar.bz2) = 04c90b826b3a26c5a63e18be319bff12a89ef0128bf8a68fb64df10594b259f3
-SIZE (polymake-4.9-minimal.tar.bz2) = 7287220
+TIMESTAMP = 1687200086
+SHA256 (polymake-4.10-minimal.tar.bz2) = 6038b266d6d40bbe9955ede846dccf4417e4114faa87e775656161cd4ca2f8f8
+SIZE (polymake-4.10-minimal.tar.bz2) = 7293264
diff --git a/math/polymake/pkg-plist b/math/polymake/pkg-plist
index 0d9b391e9826f..e9cb2be3968b6 100644
--- a/math/polymake/pkg-plist
+++ b/math/polymake/pkg-plist
@@ -372,13 +372,13 @@ include/polymake/type_utils.h
 include/polymake/vector
 lib/libpolymake-apps-rt.so
 lib/libpolymake-apps-rt.so.4
-lib/libpolymake-apps-rt.so.4.9
+lib/libpolymake-apps-rt.so.4.10
 lib/libpolymake-apps.so
 lib/libpolymake-apps.so.4
-lib/libpolymake-apps.so.4.9
+lib/libpolymake-apps.so.4.10
 lib/libpolymake.so
 lib/libpolymake.so.4
-lib/libpolymake.so.4.9
+lib/libpolymake.so.4.10
 libexec/polymake/config.ninja
 libexec/polymake/lib/common.so
 libexec/polymake/lib/fan.so
@@ -388,10 +388,10 @@ libexec/polymake/lib/group.so
 libexec/polymake/lib/ideal.so
 libexec/polymake/lib/libpolymake-apps-rt.so
 libexec/polymake/lib/libpolymake-apps-rt.so.4
-libexec/polymake/lib/libpolymake-apps-rt.so.4.9
+libexec/polymake/lib/libpolymake-apps-rt.so.4.10
 libexec/polymake/lib/libpolymake-apps.so
 libexec/polymake/lib/libpolymake-apps.so.4
-libexec/polymake/lib/libpolymake-apps.so.4.9
+libexec/polymake/lib/libpolymake-apps.so.4.10
 libexec/polymake/lib/matroid.so
 libexec/polymake/lib/polytope.so
 libexec/polymake/lib/topaz.so
@@ -613,6 +613,7 @@ libexec/polymake/shared
 %%DATADIR%%/apps/group/rules/main.rules
 %%DATADIR%%/apps/group/rules/permlib.rules
 %%DATADIR%%/apps/group/rules/switch_table.rules
+%%DATADIR%%/apps/group/src/action_functions.cc
 %%DATADIR%%/apps/group/src/col_to_row_action.cc
 %%DATADIR%%/apps/group/src/conjugacy_classes.cc
 %%DATADIR%%/apps/group/src/group_tools.cc
@@ -1536,6 +1537,7 @@ libexec/polymake/shared
 %%DATADIR%%/upgrades/big_objects-4.6.1
 %%DATADIR%%/upgrades/big_objects-4.7.1
 %%DATADIR%%/upgrades/big_objects-4.8.1
+%%DATADIR%%/upgrades/big_objects-4.9.1
 @dir libexec/polymake/bundled/atint
 %%BLISS%%@dir libexec/polymake/bundled/bliss
 @dir libexec/polymake/bundled/cdd