diff --git a/Cargo.lock b/Cargo.lock
index e1a419413..a72bdacaa 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -647,7 +647,7 @@ dependencies = [
 
 [[package]]
 name = "euclid"
-version = "0.20.10"
+version = "0.22.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
  "num-traits 0.2.12 (registry+https://github.com/rust-lang/crates.io-index)",
@@ -1203,47 +1203,47 @@ dependencies = [
 
 [[package]]
 name = "lyon"
-version = "0.15.9"
+version = "0.16.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
- "lyon_algorithms 0.15.0 (registry+https://github.com/rust-lang/crates.io-index)",
- "lyon_tessellation 0.15.9 (registry+https://github.com/rust-lang/crates.io-index)",
+ "lyon_algorithms 0.16.0 (registry+https://github.com/rust-lang/crates.io-index)",
+ "lyon_tessellation 0.16.0 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
 
 [[package]]
 name = "lyon_algorithms"
-version = "0.15.0"
+version = "0.16.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
- "lyon_path 0.15.2 (registry+https://github.com/rust-lang/crates.io-index)",
+ "lyon_path 0.16.0 (registry+https://github.com/rust-lang/crates.io-index)",
  "sid 0.6.1 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
 
 [[package]]
 name = "lyon_geom"
-version = "0.15.2"
+version = "0.16.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
  "arrayvec 0.5.1 (registry+https://github.com/rust-lang/crates.io-index)",
- "euclid 0.20.10 (registry+https://github.com/rust-lang/crates.io-index)",
+ "euclid 0.22.0 (registry+https://github.com/rust-lang/crates.io-index)",
  "num-traits 0.2.12 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
 
 [[package]]
 name = "lyon_path"
-version = "0.15.2"
+version = "0.16.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
- "lyon_geom 0.15.2 (registry+https://github.com/rust-lang/crates.io-index)",
+ "lyon_geom 0.16.0 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
 
 [[package]]
 name = "lyon_tessellation"
-version = "0.15.9"
+version = "0.16.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
  "arrayvec 0.5.1 (registry+https://github.com/rust-lang/crates.io-index)",
- "lyon_path 0.15.2 (registry+https://github.com/rust-lang/crates.io-index)",
+ "lyon_path 0.16.0 (registry+https://github.com/rust-lang/crates.io-index)",
  "sid 0.6.1 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
 
@@ -2029,7 +2029,7 @@ dependencies = [
  "image 0.23.8 (registry+https://github.com/rust-lang/crates.io-index)",
  "jpeg-decoder 0.1.20 (registry+https://github.com/rust-lang/crates.io-index)",
  "log 0.4.8 (registry+https://github.com/rust-lang/crates.io-index)",
- "lyon 0.15.9 (registry+https://github.com/rust-lang/crates.io-index)",
+ "lyon 0.16.0 (registry+https://github.com/rust-lang/crates.io-index)",
  "ruffle_core 0.1.0",
  "ruffle_render_wgpu 0.1.0",
  "sample 0.11.0 (registry+https://github.com/rust-lang/crates.io-index)",
@@ -2071,7 +2071,7 @@ name = "ruffle_render_common_tess"
 version = "0.1.0"
 dependencies = [
  "log 0.4.8 (registry+https://github.com/rust-lang/crates.io-index)",
- "lyon 0.15.9 (registry+https://github.com/rust-lang/crates.io-index)",
+ "lyon 0.16.0 (registry+https://github.com/rust-lang/crates.io-index)",
  "ruffle_core 0.1.0",
 ]
 
@@ -2101,7 +2101,7 @@ dependencies = [
  "image 0.23.8 (registry+https://github.com/rust-lang/crates.io-index)",
  "jpeg-decoder 0.1.20 (registry+https://github.com/rust-lang/crates.io-index)",
  "log 0.4.8 (registry+https://github.com/rust-lang/crates.io-index)",
- "lyon 0.15.9 (registry+https://github.com/rust-lang/crates.io-index)",
+ "lyon 0.16.0 (registry+https://github.com/rust-lang/crates.io-index)",
  "raw-window-handle 0.3.3 (registry+https://github.com/rust-lang/crates.io-index)",
  "ruffle_core 0.1.0",
  "wgpu 0.5.2 (registry+https://github.com/rust-lang/crates.io-index)",
@@ -3055,7 +3055,7 @@ dependencies = [
 "checksum enumset 1.0.0 (registry+https://github.com/rust-lang/crates.io-index)" = "3691ce759534316ad900d57dd8e688e2c4263f9750c0f7c1e9b9a4516d4ca241"
 "checksum enumset_derive 0.5.0 (registry+https://github.com/rust-lang/crates.io-index)" = "74bef436ac71820c5cf768d7af9ba33121246b09a00e09a55d94ef8095a875ac"
 "checksum env_logger 0.7.1 (registry+https://github.com/rust-lang/crates.io-index)" = "44533bbbb3bb3c1fa17d9f2e4e38bbbaf8396ba82193c4cb1b6445d711445d36"
-"checksum euclid 0.20.10 (registry+https://github.com/rust-lang/crates.io-index)" = "0c6a5b0c779cd0b744c73a1d2083faf181080d696903cdad99a3b03d015d7030"
+"checksum euclid 0.22.0 (registry+https://github.com/rust-lang/crates.io-index)" = "7ab0e07e345fb061928646949fdf5fb888e5d75a57385e7f5856e45be289e745"
 "checksum flate2 1.0.16 (registry+https://github.com/rust-lang/crates.io-index)" = "68c90b0fc46cf89d227cc78b40e494ff81287a92dd07631e5af0d06fe3cf885e"
 "checksum fnv 1.0.7 (registry+https://github.com/rust-lang/crates.io-index)" = "3f9eec918d3f24069decb9af1554cad7c880e2da24a9afd88aca000531ab82c1"
 "checksum foreign-types 0.3.2 (registry+https://github.com/rust-lang/crates.io-index)" = "f6f339eb8adc052cd2ca78910fda869aefa38d22d5cb648e6485e4d3fc06f3b1"
@@ -3114,11 +3114,11 @@ dependencies = [
 "checksum line_drawing 0.7.0 (registry+https://github.com/rust-lang/crates.io-index)" = "5cc7ad3d82c845bdb5dde34ffdcc7a5fb4d2996e1e1ee0f19c33bc80e15196b9"
 "checksum lock_api 0.3.4 (registry+https://github.com/rust-lang/crates.io-index)" = "c4da24a77a3d8a6d4862d95f72e6fdb9c09a643ecdb402d754004a557f2bec75"
 "checksum log 0.4.8 (registry+https://github.com/rust-lang/crates.io-index)" = "14b6052be84e6b71ab17edffc2eeabf5c2c3ae1fdb464aae35ac50c67a44e1f7"
-"checksum lyon 0.15.9 (registry+https://github.com/rust-lang/crates.io-index)" = "ed142d912ddc611081d50acd84ce1b8612da909aa4cf369642ba92cf51f09b40"
-"checksum lyon_algorithms 0.15.0 (registry+https://github.com/rust-lang/crates.io-index)" = "d2e86e6055dbe55f459f98a65d990bbab535f4306d38e30459a3b7aec0bd027b"
-"checksum lyon_geom 0.15.2 (registry+https://github.com/rust-lang/crates.io-index)" = "575bca30bcbaea23a6f544a9e8b57b12ceb3611ea3fd4f5779a1d6705b4672b7"
-"checksum lyon_path 0.15.2 (registry+https://github.com/rust-lang/crates.io-index)" = "c81a044414965c051b7b4785770820d23146480a2d8573cd825f03a00a5b8dd8"
-"checksum lyon_tessellation 0.15.9 (registry+https://github.com/rust-lang/crates.io-index)" = "71c45e7eb8cf9cba513aa72efd59894f861a91acabc9a100caeb0fe6e6315b71"
+"checksum lyon 0.16.0 (registry+https://github.com/rust-lang/crates.io-index)" = "e70c7d8016c5c3a488b987ce9b90e5276cd0e4f977218b0ca00484518e06bbe7"
+"checksum lyon_algorithms 0.16.0 (registry+https://github.com/rust-lang/crates.io-index)" = "11033936a5e9d7bf35b7ba71a19f8b6bc838f3206304175dc5b3524ca16672a8"
+"checksum lyon_geom 0.16.0 (registry+https://github.com/rust-lang/crates.io-index)" = "cf8bab700a69f82616a1377df3c2fc4012fe8518833ae1f6e51a1cf9782cede4"
+"checksum lyon_path 0.16.0 (registry+https://github.com/rust-lang/crates.io-index)" = "bf845aab7ec22d588fb82384fab4fecd88f9479cd00637d68166d37de0514f69"
+"checksum lyon_tessellation 0.16.0 (registry+https://github.com/rust-lang/crates.io-index)" = "72817e64dc9c161c0785e61626dd76403356614b15a645d95d25b9003e0ba1a0"
 "checksum lzma-sys 0.1.15 (registry+https://github.com/rust-lang/crates.io-index)" = "53e48818fd597d46155132bbbb9505d6d1b3d360b4ee25cfa91c406f8a90fe91"
 "checksum lzw 0.10.0 (registry+https://github.com/rust-lang/crates.io-index)" = "7d947cbb889ed21c2a84be6ffbaebf5b4e0f4340638cba0444907e38b56be084"
 "checksum mach 0.3.2 (registry+https://github.com/rust-lang/crates.io-index)" = "b823e83b2affd8f40a9ee8c29dbc56404c1e34cd2710921f2801e2cf29527afa"
diff --git a/desktop/Cargo.toml b/desktop/Cargo.toml
index a2e939db5..6e641dc31 100644
--- a/desktop/Cargo.toml
+++ b/desktop/Cargo.toml
@@ -15,7 +15,7 @@ generational-arena = "0.2.8"
 image = "0.23.8"
 jpeg-decoder = "0.1.20"
 log = "0.4"
-lyon = "0.15.9"
+lyon = "0.16.0"
 sample = "0.11.0"
 structopt = "0.3.15"
 winit = "0.22"
diff --git a/render/common_tess/Cargo.toml b/render/common_tess/Cargo.toml
index 1dc5a17ee..28b4dbc2c 100644
--- a/render/common_tess/Cargo.toml
+++ b/render/common_tess/Cargo.toml
@@ -7,7 +7,7 @@ license = "MIT OR Apache-2.0"
 
 [dependencies]
 log = "0.4"
-lyon = "0.15.9"
+lyon = "0.16.0"
 
 [dependencies.ruffle_core]
 path = "../../core"
diff --git a/render/wgpu/Cargo.toml b/render/wgpu/Cargo.toml
index 3bc5dfa00..a0ce5c2e0 100644
--- a/render/wgpu/Cargo.toml
+++ b/render/wgpu/Cargo.toml
@@ -11,7 +11,7 @@ wgpu-native = "0.5"
 image = "0.23.8"
 jpeg-decoder = "0.1.20"
 log = "0.4"
-lyon = "0.15.9"
+lyon = "0.16.0"
 ruffle_core = { path = "../../core" }
 futures = "0.3.5"
 bytemuck = "1.3.1"