diff --git a/Cargo.toml b/Cargo.toml
index 8a3fea5c9..a629b5544 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -37,7 +37,6 @@ cuda   = [ "cust_core", "simba/cuda" ]
 # Conversion
 convert-mint = [ "mint" ]
 convert-bytemuck = [ "bytemuck" ]
-convert-glam013 = [ "glam013" ]
 convert-glam014 = [ "glam014" ]
 convert-glam015 = [ "glam015" ]
 convert-glam016 = [ "glam016" ]
@@ -88,7 +87,6 @@ pest_derive    = { version = "2", optional = true }
 bytemuck       = { version = "1.5", optional = true }
 matrixcompare-core = { version = "0.1", optional = true }
 proptest       = { version = "1", optional = true, default-features = false, features = ["std"] }
-glam013        = { package = "glam", version = "0.13", optional = true }
 glam014        = { package = "glam", version = "0.14", optional = true }
 glam015        = { package = "glam", version = "0.15", optional = true }
 glam016        = { package = "glam", version = "0.16", optional = true }
diff --git a/nalgebra-glm/Cargo.toml b/nalgebra-glm/Cargo.toml
index f80875814..adf05fa3a 100644
--- a/nalgebra-glm/Cargo.toml
+++ b/nalgebra-glm/Cargo.toml
@@ -26,7 +26,6 @@ cuda                  = [ "nalgebra/cuda" ]
 # Conversion
 convert-mint = [ "nalgebra/mint" ]
 convert-bytemuck = [ "nalgebra/bytemuck" ]
-convert-glam013 = [ "nalgebra/glam013" ]
 convert-glam014 = [ "nalgebra/glam014" ]
 convert-glam015 = [ "nalgebra/glam015" ]
 convert-glam016 = [ "nalgebra/glam016" ]
diff --git a/src/third_party/glam/common/glam_isometry.rs b/src/third_party/glam/common/glam_isometry.rs
index 3a8d49618..7b188c39d 100644
--- a/src/third_party/glam/common/glam_isometry.rs
+++ b/src/third_party/glam/common/glam_isometry.rs
@@ -1,5 +1,5 @@
 use super::glam::{DMat3, DMat4, DQuat, DVec2, DVec3, Mat3, Mat4, Quat, Vec2, Vec3};
-use crate::{Isometry2, Isometry3, Matrix3, Matrix4, Translation3, UnitQuaternion, Vector2};
+use crate::{Isometry2, Isometry3, Matrix3, Matrix4, Translation3, UnitQuaternion};
 use std::convert::TryFrom;
 
 impl From<Isometry2<f32>> for Mat3 {
@@ -36,18 +36,18 @@ impl From<Isometry3<f64>> for (DVec3, DQuat) {
     }
 }
 
-impl From<Isometry2<f32>> for (Vec3, Quat) {
-    fn from(iso: Isometry2<f32>) -> (Vec3, Quat) {
-        let tra = Vec3::new(iso.translation.x, iso.translation.y, 0.0);
-        let rot = Quat::from_axis_angle(Vec3::Z, iso.rotation.angle());
+impl From<Isometry2<f32>> for (Vec2, f32) {
+    fn from(iso: Isometry2<f32>) -> (Vec2, f32) {
+        let tra = Vec2::new(iso.translation.x, iso.translation.y);
+        let rot = iso.rotation.angle();
         (tra, rot)
     }
 }
 
-impl From<Isometry2<f64>> for (DVec3, DQuat) {
-    fn from(iso: Isometry2<f64>) -> (DVec3, DQuat) {
-        let tra = DVec3::new(iso.translation.x, iso.translation.y, 0.0);
-        let rot = DQuat::from_axis_angle(DVec3::Z, iso.rotation.angle());
+impl From<Isometry2<f64>> for (DVec2, f64) {
+    fn from(iso: Isometry2<f64>) -> (DVec2, f64) {
+        let tra = DVec2::new(iso.translation.x, iso.translation.y);
+        let rot = iso.rotation.angle();
         (tra, rot)
     }
 }
@@ -64,30 +64,6 @@ impl From<(DVec3, DQuat)> for Isometry3<f64> {
     }
 }
 
-impl From<(Vec3, Quat)> for Isometry2<f32> {
-    fn from((tra, rot): (Vec3, Quat)) -> Self {
-        Isometry2::new([tra.x, tra.y].into(), rot.to_axis_angle().1)
-    }
-}
-
-impl From<(DVec3, DQuat)> for Isometry2<f64> {
-    fn from((tra, rot): (DVec3, DQuat)) -> Self {
-        Isometry2::new([tra.x, tra.y].into(), rot.to_axis_angle().1)
-    }
-}
-
-impl From<(Vec2, Quat)> for Isometry2<f32> {
-    fn from((tra, rot): (Vec2, Quat)) -> Self {
-        Isometry2::new(tra.into(), rot.to_axis_angle().1)
-    }
-}
-
-impl From<(DVec2, DQuat)> for Isometry2<f64> {
-    fn from((tra, rot): (DVec2, DQuat)) -> Self {
-        Isometry2::new(tra.into(), rot.to_axis_angle().1)
-    }
-}
-
 impl From<(Vec2, f32)> for Isometry2<f32> {
     fn from((tra, rot): (Vec2, f32)) -> Self {
         Isometry2::new(tra.into(), rot)
@@ -112,18 +88,6 @@ impl From<DQuat> for Isometry3<f64> {
     }
 }
 
-impl From<Quat> for Isometry2<f32> {
-    fn from(rot: Quat) -> Self {
-        Isometry2::new(Vector2::zeros(), rot.to_axis_angle().1)
-    }
-}
-
-impl From<DQuat> for Isometry2<f64> {
-    fn from(rot: DQuat) -> Self {
-        Isometry2::new(Vector2::zeros(), rot.to_axis_angle().1)
-    }
-}
-
 impl From<Vec3> for Isometry3<f32> {
     fn from(tra: Vec3) -> Self {
         Isometry3::from_parts(tra.into(), UnitQuaternion::identity())
@@ -148,18 +112,6 @@ impl From<DVec2> for Isometry2<f64> {
     }
 }
 
-impl From<Vec3> for Isometry2<f32> {
-    fn from(tra: Vec3) -> Self {
-        Isometry2::new([tra.x, tra.y].into(), 0.0)
-    }
-}
-
-impl From<DVec3> for Isometry2<f64> {
-    fn from(tra: DVec3) -> Self {
-        Isometry2::new([tra.x, tra.y].into(), 0.0)
-    }
-}
-
 impl TryFrom<Mat3> for Isometry2<f32> {
     type Error = ();
 
diff --git a/src/third_party/glam/common/glam_matrix.rs b/src/third_party/glam/common/glam_matrix.rs
index 80f880541..fa9f713f9 100644
--- a/src/third_party/glam/common/glam_matrix.rs
+++ b/src/third_party/glam/common/glam_matrix.rs
@@ -3,7 +3,11 @@ use super::glam::{
     Mat4, UVec2, UVec3, UVec4, Vec2, Vec3, Vec3A, Vec4,
 };
 use crate::storage::RawStorage;
-use crate::{Matrix, Matrix2, Matrix3, Matrix4, Vector, Vector2, Vector3, Vector4, U2, U3, U4};
+use crate::{
+    Matrix, Matrix2, Matrix3, Matrix4, Unit, UnitVector2, UnitVector3, UnitVector4, Vector,
+    Vector2, Vector3, Vector4, U2, U3, U4,
+};
+use std::convert::TryFrom;
 
 macro_rules! impl_vec_conversion(
     ($N: ty, $Vec2: ty, $Vec3: ty, $Vec4: ty) => {
@@ -66,6 +70,63 @@ impl_vec_conversion!(i32, IVec2, IVec3, IVec4);
 impl_vec_conversion!(u32, UVec2, UVec3, UVec4);
 impl_vec_conversion!(bool, BVec2, BVec3, BVec4);
 
+const ERR: &'static str = "Normalization failed.";
+
+macro_rules! impl_unit_vec_conversion(
+    ($N: ty, $Vec2: ty, $Vec3: ty, $Vec4: ty) => {
+        impl TryFrom<$Vec2> for UnitVector2<$N> {
+            type Error = &'static str;
+            #[inline]
+            fn try_from(e: $Vec2) -> Result<Self, Self::Error> {
+                Unit::try_new(e.into(), 0.0).ok_or(ERR)
+            }
+        }
+
+        impl From<UnitVector2<$N>> for $Vec2
+        {
+            #[inline]
+            fn from(e: UnitVector2<$N>) -> $Vec2 {
+                e.into_inner().into()
+            }
+        }
+
+        impl TryFrom<$Vec3> for UnitVector3<$N> {
+            type Error = &'static str;
+            #[inline]
+            fn try_from(e: $Vec3) -> Result<Self, Self::Error> {
+                Unit::try_new(e.into(), 0.0).ok_or(ERR)
+            }
+        }
+
+        impl From<UnitVector3<$N>> for $Vec3
+        {
+            #[inline]
+            fn from(e: UnitVector3<$N>) -> $Vec3 {
+                e.into_inner().into()
+            }
+        }
+
+        impl TryFrom<$Vec4> for UnitVector4<$N> {
+            type Error = &'static str;
+            #[inline]
+            fn try_from(e: $Vec4) -> Result<Self, Self::Error> {
+                Unit::try_new(e.into(), 0.0).ok_or(ERR)
+            }
+        }
+
+        impl From<UnitVector4<$N>> for $Vec4
+        {
+            #[inline]
+            fn from(e: UnitVector4<$N>) -> $Vec4 {
+                e.into_inner().into()
+            }
+        }
+    }
+);
+
+impl_unit_vec_conversion!(f32, Vec2, Vec3, Vec4);
+impl_unit_vec_conversion!(f64, DVec2, DVec3, DVec4);
+
 impl From<Vec3A> for Vector3<f32> {
     #[inline]
     fn from(e: Vec3A) -> Vector3<f32> {
@@ -83,6 +144,21 @@ where
     }
 }
 
+impl TryFrom<Vec3A> for UnitVector3<f32> {
+    type Error = &'static str;
+    #[inline]
+    fn try_from(e: Vec3A) -> Result<Self, Self::Error> {
+        Unit::try_new(e.into(), 0.0).ok_or(ERR)
+    }
+}
+
+impl From<UnitVector3<f32>> for Vec3A {
+    #[inline]
+    fn from(e: UnitVector3<f32>) -> Vec3A {
+        e.into_inner().into()
+    }
+}
+
 impl From<Mat2> for Matrix2<f32> {
     #[inline]
     fn from(e: Mat2) -> Matrix2<f32> {
diff --git a/src/third_party/glam/mod.rs b/src/third_party/glam/mod.rs
index d24ff7e54..ae2c4514a 100644
--- a/src/third_party/glam/mod.rs
+++ b/src/third_party/glam/mod.rs
@@ -1,5 +1,3 @@
-#[cfg(feature = "glam013")]
-mod v013;
 #[cfg(feature = "glam014")]
 mod v014;
 #[cfg(feature = "glam015")]
diff --git a/src/third_party/glam/v013/mod.rs b/src/third_party/glam/v013/mod.rs
deleted file mode 100644
index 4787fb216..000000000
--- a/src/third_party/glam/v013/mod.rs
+++ /dev/null
@@ -1,18 +0,0 @@
-#[path = "../common/glam_isometry.rs"]
-mod glam_isometry;
-#[path = "../common/glam_matrix.rs"]
-mod glam_matrix;
-#[path = "../common/glam_point.rs"]
-mod glam_point;
-#[path = "../common/glam_quaternion.rs"]
-mod glam_quaternion;
-#[path = "../common/glam_rotation.rs"]
-mod glam_rotation;
-#[path = "../common/glam_similarity.rs"]
-mod glam_similarity;
-#[path = "../common/glam_translation.rs"]
-mod glam_translation;
-#[path = "../common/glam_unit_complex.rs"]
-mod glam_unit_complex;
-
-pub(self) use glam013 as glam;