diff --git a/Cargo.lock b/Cargo.lock
index 5173d9b..0a6057f 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -99,6 +99,15 @@ dependencies = [
  "num-traits",
 ]
 
+[[package]]
+name = "approx"
+version = "0.5.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "cab112f0a86d568ea0e627cc1d6be74a1e9cd55214684db5561995f6dad897c6"
+dependencies = [
+ "num-traits",
+]
+
 [[package]]
 name = "arrayref"
 version = "0.3.7"
@@ -336,6 +345,28 @@ dependencies = [
  "cfg-if 1.0.0",
 ]
 
+[[package]]
+name = "crossbeam"
+version = "0.8.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "1137cd7e7fc0fb5d3c5a8678be38ec56e819125d8d7907411fe24ccb943faca8"
+dependencies = [
+ "crossbeam-channel",
+ "crossbeam-deque 0.8.5",
+ "crossbeam-epoch 0.9.18",
+ "crossbeam-queue",
+ "crossbeam-utils 0.8.19",
+]
+
+[[package]]
+name = "crossbeam-channel"
+version = "0.5.11"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "176dc175b78f56c0f321911d9c8eb2b77a78a4860b9c19db83835fea1a46649b"
+dependencies = [
+ "crossbeam-utils 0.8.19",
+]
+
 [[package]]
 name = "crossbeam-deque"
 version = "0.7.4"
@@ -381,6 +412,15 @@ dependencies = [
  "crossbeam-utils 0.8.19",
 ]
 
+[[package]]
+name = "crossbeam-queue"
+version = "0.3.11"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "df0346b5d5e76ac2fe4e327c5fd1118d6be7c51dfb18f9b7922923f287471e35"
+dependencies = [
+ "crossbeam-utils 0.8.19",
+]
+
 [[package]]
 name = "crossbeam-utils"
 version = "0.7.2"
@@ -794,7 +834,7 @@ dependencies = [
  "gif",
  "jpeg-decoder",
  "num-iter",
- "num-rational",
+ "num-rational 0.3.2",
  "num-traits",
  "png 0.16.8",
  "scoped_threadpool",
@@ -887,7 +927,9 @@ dependencies = [
 name = "lava-lamp"
 version = "0.1.0"
 dependencies = [
+ "nalgebra",
  "nannou",
+ "rapier2d",
 ]
 
 [[package]]
@@ -922,6 +964,12 @@ dependencies = [
  "windows-sys 0.48.0",
 ]
 
+[[package]]
+name = "libm"
+version = "0.2.8"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "4ec2a862134d2a7d32d7983ddcdd1c4923530833c9f2ea1a44fc5fa473989058"
+
 [[package]]
 name = "libredox"
 version = "0.0.2"
@@ -1014,6 +1062,16 @@ dependencies = [
  "libc",
 ]
 
+[[package]]
+name = "matrixmultiply"
+version = "0.3.8"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7574c1cf36da4798ab73da5b215bbf444f50718207754cb522201d78d1cd0ff2"
+dependencies = [
+ "autocfg",
+ "rawpointer",
+]
+
 [[package]]
 name = "maybe-uninit"
 version = "2.0.0"
@@ -1129,6 +1187,34 @@ dependencies = [
  "unicode-xid",
 ]
 
+[[package]]
+name = "nalgebra"
+version = "0.32.3"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "307ed9b18cc2423f29e83f84fd23a8e73628727990181f18641a8b5dc2ab1caa"
+dependencies = [
+ "approx 0.5.1",
+ "glam",
+ "matrixmultiply",
+ "nalgebra-macros",
+ "num-complex",
+ "num-rational 0.4.1",
+ "num-traits",
+ "simba",
+ "typenum",
+]
+
+[[package]]
+name = "nalgebra-macros"
+version = "0.2.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "91761aed67d03ad966ef783ae962ef9bbaca728d2dd7ceb7939ec110fffad998"
+dependencies = [
+ "proc-macro2",
+ "quote",
+ "syn 1.0.109",
+]
+
 [[package]]
 name = "nannou"
 version = "0.19.0"
@@ -1266,6 +1352,26 @@ version = "0.1.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "004d578bbfc8a6bdd4690576a8381af234ef051dd4cc358604e1784821e8205c"
 
+[[package]]
+name = "num-complex"
+version = "0.4.5"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "23c6602fda94a57c990fe0df199a035d83576b496aa29f4e634a8ac6004e68a6"
+dependencies = [
+ "num-traits",
+]
+
+[[package]]
+name = "num-derive"
+version = "0.4.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "ed3955f1a9c7c0c15e092f9c887db08b1fc683305fdf6eb6684f22555355e202"
+dependencies = [
+ "proc-macro2",
+ "quote",
+ "syn 2.0.48",
+]
+
 [[package]]
 name = "num-integer"
 version = "0.1.46"
@@ -1297,6 +1403,17 @@ dependencies = [
  "num-traits",
 ]
 
+[[package]]
+name = "num-rational"
+version = "0.4.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "0638a1c9d0a3c0914158145bc76cff373a75a627e6ecbfb71cbe6f453a5a19b0"
+dependencies = [
+ "autocfg",
+ "num-integer",
+ "num-traits",
+]
+
 [[package]]
 name = "num-traits"
 version = "0.2.18"
@@ -1304,6 +1421,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "da0df0e5185db44f69b44f26786fe401b6c293d1907744beaa7fa62b2e5a517a"
 dependencies = [
  "autocfg",
+ "libm",
 ]
 
 [[package]]
@@ -1451,7 +1569,7 @@ version = "0.5.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "a05c0334468e62a4dfbda34b29110aa7d70d58c7fdb2c9857b5874dd9827cc59"
 dependencies = [
- "approx",
+ "approx 0.3.2",
  "num-traits",
  "palette_derive",
  "serde",
@@ -1491,6 +1609,27 @@ dependencies = [
  "windows-targets 0.48.5",
 ]
 
+[[package]]
+name = "parry2d"
+version = "0.13.6"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "94683d8d7e785fe84b02d0a0dbe0fcf359c031c338dd6d144de958573c570c25"
+dependencies = [
+ "approx 0.5.1",
+ "arrayvec 0.7.4",
+ "bitflags 1.3.2",
+ "downcast-rs",
+ "either",
+ "nalgebra",
+ "num-derive",
+ "num-traits",
+ "rustc-hash",
+ "simba",
+ "slab",
+ "smallvec",
+ "spade",
+]
+
 [[package]]
 name = "paste"
 version = "1.0.14"
@@ -1681,12 +1820,38 @@ version = "0.1.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "9c8a99fddc9f0ba0a85884b8d14e3592853e787d581ca1816c91349b10e4eeab"
 
+[[package]]
+name = "rapier2d"
+version = "0.18.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "48a3ec4ae89e0837c0ff6f29af32a8e5d78dfabe2273dcd945cfaf3f5d2b1501"
+dependencies = [
+ "approx 0.5.1",
+ "arrayvec 0.7.4",
+ "bit-vec",
+ "bitflags 1.3.2",
+ "crossbeam",
+ "downcast-rs",
+ "nalgebra",
+ "num-derive",
+ "num-traits",
+ "parry2d",
+ "rustc-hash",
+ "simba",
+]
+
 [[package]]
 name = "raw-window-handle"
 version = "0.5.2"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "f2ff9a1f06a88b01621b7ae906ef0211290d1c8a168a15542486a8f61c0833b9"
 
+[[package]]
+name = "rawpointer"
+version = "0.2.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "60a357793950651c4ed0f3f52338f53b2f809f32d83a07f72909fa13e4c6c1e3"
+
 [[package]]
 name = "rayon"
 version = "1.8.1"
@@ -1731,6 +1896,12 @@ version = "1.0.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "216080ab382b992234dda86873c18d4c48358f5cfcb70fd693d7f6f2131b628b"
 
+[[package]]
+name = "robust"
+version = "1.1.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "cbf4a6aa5f6d6888f39e980649f3ad6b666acdce1d78e95b8a2cb076e687ae30"
+
 [[package]]
 name = "rustc-demangle"
 version = "0.1.23"
@@ -1749,7 +1920,7 @@ version = "0.8.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "9f61411055101f7b60ecf1041d87fb74205fb20b0c7a723f07ef39174cf6b4c0"
 dependencies = [
- "approx",
+ "approx 0.3.2",
  "crossbeam-deque 0.7.4",
  "crossbeam-utils 0.7.2",
  "linked-hash-map",
@@ -1765,6 +1936,15 @@ version = "1.0.16"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "f98d2aa92eebf49b69786be48e4477826b256916e84a57ff2a4f21923b48eb4c"
 
+[[package]]
+name = "safe_arch"
+version = "0.7.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "f398075ce1e6a179b46f51bd88d0598b92b00d3551f1a2d4ac49e771b56ac354"
+dependencies = [
+ "bytemuck",
+]
+
 [[package]]
 name = "same-file"
 version = "1.0.6"
@@ -1854,6 +2034,19 @@ dependencies = [
  "libc",
 ]
 
+[[package]]
+name = "simba"
+version = "0.8.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "061507c94fc6ab4ba1c9a0305018408e312e17c041eb63bef8aa726fa33aceae"
+dependencies = [
+ "approx 0.5.1",
+ "num-complex",
+ "num-traits",
+ "paste",
+ "wide",
+]
+
 [[package]]
 name = "simd-adler32"
 version = "0.3.7"
@@ -1913,6 +2106,18 @@ dependencies = [
  "windows-sys 0.48.0",
 ]
 
+[[package]]
+name = "spade"
+version = "2.6.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "61addf9117b11d1f5b4bf6fe94242ba25f59d2d4b2080544b771bd647024fd00"
+dependencies = [
+ "hashbrown 0.14.3",
+ "num-traits",
+ "robust",
+ "smallvec",
+]
+
 [[package]]
 name = "spirv"
 version = "0.2.0+1.5.4"
@@ -2093,6 +2298,12 @@ version = "0.20.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "17f77d76d837a7830fe1d4f12b7b4ba4192c1888001c7164257e4bc6d21d96b4"
 
+[[package]]
+name = "typenum"
+version = "1.17.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "42ff0bf0c66b8238c6f3b578df37d0b7848e55df8577b3f74f92a69acceeb825"
+
 [[package]]
 name = "unicode-ident"
 version = "1.0.12"
@@ -2399,6 +2610,16 @@ dependencies = [
  "web-sys",
 ]
 
+[[package]]
+name = "wide"
+version = "0.7.15"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "89beec544f246e679fc25490e3f8e08003bc4bf612068f325120dad4cea02c1c"
+dependencies = [
+ "bytemuck",
+ "safe_arch",
+]
+
 [[package]]
 name = "widestring"
 version = "1.0.2"
diff --git a/Cargo.toml b/Cargo.toml
index 001fd52..a373176 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -6,4 +6,9 @@ edition = "2021"
 # See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
 
 [dependencies]
+nalgebra = { version = "0.32.3", features = ["glam017"] }
 nannou = "0.19.0"
+rapier2d = "0.18.0"
+
+[profile.dev.package."*"]
+opt-level = 3
diff --git a/src/main.rs b/src/main.rs
index 2ad186b..719cf32 100644
--- a/src/main.rs
+++ b/src/main.rs
@@ -1,7 +1,7 @@
 mod drawable;
 mod particle;
 
-use drawable::{DrawShape, Drawable};
+use drawable::DrawShape;
 use nannou::prelude::*;
 use particle::Particle;