.gitignore

@@ -1,3 +1,5 @@
 /target
 /web-build
-.local
+.local
+**.bak
+**/dist/

Cargo.lock

@@ -331,6 +331,15 @@ dependencies = [
  "percent-encoding",
 ]
 
+[[package]]
+name = "fractal-engine"
+version = "0.1.0"
+dependencies = [
+ "js-sys",
+ "wasm-bindgen",
+ "web-sys",
+]
+
 [[package]]
 name = "futures-channel"
 version = "0.3.31"
@@ -1104,6 +1113,16 @@ dependencies = [
  "unicode-ident",
 ]
 
+[[package]]
+name = "web-sys"
+version = "0.3.82"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "3a1f95c0d03a47f4ae1f7a64643a6bb97465d9b740f0fa8f90ea33915c99a9a1"
+dependencies = [
+ "js-sys",
+ "wasm-bindgen",
+]
+
 [[package]]
 name = "windows-link"
 version = "0.2.1"

Cargo.toml

@@ -1,6 +1,7 @@
 [workspace]
 members = [
     "crates/cli",
+    "crates/fractal-engine",
     "crates/message-tools",
     "crates/server"
 ]

crates/cli/src/main.rs

@@ -255,7 +255,7 @@ fn handle_command_status(status_result: std::io::Result<ExitStatus>, command_nam
 }
 
 fn build() {
-    println!("Building wasm package...");
+    println!("Building wasm package (message-tools)...");
     // build the wasm package
     let status = Command::new("wasm-pack")
         .arg("build")
@@ -265,7 +265,18 @@ fn build() {
         .arg("--target")
         .arg("no-modules")
         .status();
-    handle_command_status(status, "wasm-pack build");
+    handle_command_status(status, "wasm-pack build message-tools");
+
+    println!("Building wasm package (fractal-engine)...");
+    let status = Command::new("wasm-pack")
+        .arg("build")
+        .arg("--out-dir")
+        .arg("../../routes/root/pkg")
+        .arg("crates/fractal-engine")
+        .arg("--target")
+        .arg("no-modules")
+        .status();
+    handle_command_status(status, "wasm-pack build fractal-engine");
 
     println!("Building server executable...");
     // build the server executable
@@ -285,10 +296,10 @@ fn build() {
     handle_command_status(status, "mkdir web-build");
 
     println!("Copying files...");
-    // copy relevant files
+    // copy relevant files (use trailing slash to merge into existing directory)
     let status = Command::new("cp")
         .args(["-R", "-f", "routes"])
-        .arg(format!("{WEB_BUILD_DIR}/routes"))
+        .arg(WEB_BUILD_DIR)
         .status();
     handle_command_status(status, "cp routes");
 

crates/fractal-engine/Cargo.toml

@@ -0,0 +1,15 @@
+[package]
+name = "fractal-engine"
+version = "0.1.0"
+edition = "2024"
+
+[lib]
+crate-type = ["cdylib", "rlib"]
+
+[target.'cfg(all(target_arch = "wasm32", target_os = "unknown"))'.dependencies]
+wasm-bindgen = "0.2.105"
+web-sys = { version = "0.3", features = [
+    "Window", "Document", "HtmlCanvasElement",
+    "CanvasRenderingContext2d", "ImageData"
+]}
+js-sys = "0.3"

crates/fractal-engine/src/color.rs

@@ -0,0 +1,25 @@
+/// Ocean color palette for Newton's fractal
+
+/// Ocean color palette for three roots
+/// root_index: 0, 1, or 2
+/// iterations: number of iterations to converge (affects brightness)
+/// max_iterations: maximum iterations (for normalization)
+pub fn ocean_palette(root_index: u8, iterations: u32, max_iterations: u32) -> (u8, u8, u8) {
+    // Brightness based on iteration count - fewer iterations = brighter
+    let t = (iterations as f64) / (max_iterations as f64);
+    let brightness = (1.0 - t * 0.7).max(0.3);
+
+    // Ocean theme colors for each root basin
+    let (r, g, b) = match root_index {
+        0 => (0.05, 0.25, 0.55),  // Deep ocean blue
+        1 => (0.0, 0.45, 0.50),   // Teal
+        2 => (0.15, 0.55, 0.65),  // Cyan/turquoise
+        _ => (0.05, 0.25, 0.55),
+    };
+
+    (
+        (r * brightness * 255.0) as u8,
+        (g * brightness * 255.0) as u8,
+        (b * brightness * 255.0) as u8,
+    )
+}

crates/fractal-engine/src/lib.rs

@@ -0,0 +1,5 @@
+pub mod color;
+pub mod newton;
+
+#[cfg(all(target_arch = "wasm32", target_os = "unknown"))]
+pub mod wasm;

crates/fractal-engine/src/newton.rs

@@ -0,0 +1,76 @@
+/// Newton's method fractal for z^3 - 1
+/// The three roots are at 120 degree intervals on the unit circle
+
+const MAX_ITERATIONS: u32 = 32;
+const TOLERANCE_SQ: f64 = 1e-6;
+
+/// Compute Newton's method iteration for z^3 - 1
+/// Returns (root_index, iterations) where root_index is 0, 1, or 2
+/// Time parameter rotates the viewing angle for animation
+pub fn compute(z_re: f64, z_im: f64, time: f64) -> (u8, u32) {
+    // Rotate input coordinates to animate the fractal
+    let cos_t = time.cos();
+    let sin_t = time.sin();
+    let mut zr = z_re * cos_t - z_im * sin_t;
+    let mut zi = z_re * sin_t + z_im * cos_t;
+
+    // The three roots of z^3 - 1
+    const ROOTS: [(f64, f64); 3] = [
+        (1.0, 0.0),                          // 1
+        (-0.5, 0.866025403784439),           // e^(2πi/3)
+        (-0.5, -0.866025403784439),          // e^(4πi/3)
+    ];
+
+    for iter in 0..MAX_ITERATIONS {
+        // Compute z^2
+        let z2_re = zr * zr - zi * zi;
+        let z2_im = 2.0 * zr * zi;
+
+        // Compute z^3
+        let z3_re = zr * z2_re - zi * z2_im;
+        let z3_im = zr * z2_im + zi * z2_re;
+
+        // Check distance to each root
+        for (idx, &(root_re, root_im)) in ROOTS.iter().enumerate() {
+            let dr = zr - root_re;
+            let di = zi - root_im;
+            if dr * dr + di * di < TOLERANCE_SQ {
+                return (idx as u8, iter);
+            }
+        }
+
+        // Newton's method: z = z - (z^3 - 1)/(3z^2)
+        // Simplifies to: z = (2z^3 + 1)/(3z^2)
+
+        // Denominator: 3z^2
+        let denom_re = 3.0 * z2_re;
+        let denom_im = 3.0 * z2_im;
+        let denom_mag_sq = denom_re * denom_re + denom_im * denom_im;
+
+        if denom_mag_sq < 1e-12 {
+            return (0, MAX_ITERATIONS);
+        }
+
+        // Numerator: 2z^3 + 1
+        let num_re = 2.0 * z3_re + 1.0;
+        let num_im = 2.0 * z3_im;
+
+        // Complex division
+        zr = (num_re * denom_re + num_im * denom_im) / denom_mag_sq;
+        zi = (num_im * denom_re - num_re * denom_im) / denom_mag_sq;
+    }
+
+    // Find closest root
+    let mut closest = 0u8;
+    let mut min_dist = f64::MAX;
+    for (idx, &(root_re, root_im)) in ROOTS.iter().enumerate() {
+        let dr = zr - root_re;
+        let di = zi - root_im;
+        let dist = dr * dr + di * di;
+        if dist < min_dist {
+            min_dist = dist;
+            closest = idx as u8;
+        }
+    }
+    (closest, MAX_ITERATIONS)
+}

crates/fractal-engine/src/wasm.rs

@@ -0,0 +1,106 @@
+use wasm_bindgen::prelude::*;
+use web_sys::{CanvasRenderingContext2d, HtmlCanvasElement, ImageData};
+
+use crate::color::ocean_palette;
+use crate::newton::compute;
+
+const MAX_ITERATIONS: u32 = 32;
+
+/// Get the canvas element and 2D context
+fn get_canvas_and_context(canvas_id: &str) -> Result<(HtmlCanvasElement, CanvasRenderingContext2d), JsValue> {
+    let window = web_sys::window().ok_or("no window")?;
+    let document = window.document().ok_or("no document")?;
+    let canvas = document
+        .get_element_by_id(canvas_id)
+        .ok_or("no canvas element")?
+        .dyn_into::<HtmlCanvasElement>()?;
+
+    let context = canvas
+        .get_context("2d")?
+        .ok_or("no 2d context")?
+        .dyn_into::<CanvasRenderingContext2d>()?;
+
+    Ok((canvas, context))
+}
+
+/// Render the Newton fractal with animation (time parameter rotates the view)
+#[wasm_bindgen]
+pub fn render_fractal_animated(canvas_id: &str, time: f64, scale: u32) -> Result<(), JsValue> {
+    let (canvas, context) = get_canvas_and_context(canvas_id)?;
+
+    let canvas_width = canvas.width() as usize;
+    let canvas_height = canvas.height() as usize;
+
+    // Render at reduced resolution
+    let scale = scale.max(1) as usize;
+    let width = canvas_width / scale;
+    let height = canvas_height / scale;
+
+    // Create RGBA buffer
+    let mut pixels: Vec<u8> = vec![0; width * height * 4];
+
+    // Complex plane bounds
+    let view_size = 3.0;
+    let aspect = width as f64 / height as f64;
+
+    for y in 0..height {
+        for x in 0..width {
+            // Map pixel to complex plane (centered at origin)
+            let z_re = (x as f64 / width as f64 - 0.5) * view_size * aspect;
+            let z_im = (y as f64 / height as f64 - 0.5) * view_size;
+
+            // Compute Newton iteration
+            let (root_index, iterations) = compute(z_re, z_im, time);
+
+            // Get color from ocean palette
+            let (r, g, b) = ocean_palette(root_index, iterations, MAX_ITERATIONS);
+
+            // Write to pixel buffer (RGBA)
+            let idx = (y * width + x) * 4;
+            pixels[idx] = r;
+            pixels[idx + 1] = g;
+            pixels[idx + 2] = b;
+            pixels[idx + 3] = 255;
+        }
+    }
+
+    // Create ImageData at reduced size
+    let clamped = wasm_bindgen::Clamped(&pixels[..]);
+    let image_data = ImageData::new_with_u8_clamped_array_and_sh(clamped, width as u32, height as u32)?;
+
+    // Scale up when drawing to canvas
+    if scale > 1 {
+        // Draw to a temporary position then scale
+        context.put_image_data(&image_data, 0.0, 0.0)?;
+
+        // Use drawImage to scale up
+        let temp_canvas = document_create_canvas(width as u32, height as u32)?;
+        let temp_ctx = temp_canvas
+            .get_context("2d")?
+            .ok_or("no temp 2d context")?
+            .dyn_into::<CanvasRenderingContext2d>()?;
+        temp_ctx.put_image_data(&image_data, 0.0, 0.0)?;
+
+        context.set_image_smoothing_enabled(false);
+        context.draw_image_with_html_canvas_element_and_dw_and_dh(
+            &temp_canvas,
+            0.0, 0.0,
+            canvas_width as f64, canvas_height as f64
+        )?;
+    } else {
+        context.put_image_data(&image_data, 0.0, 0.0)?;
+    }
+
+    Ok(())
+}
+
+fn document_create_canvas(width: u32, height: u32) -> Result<HtmlCanvasElement, JsValue> {
+    let window = web_sys::window().ok_or("no window")?;
+    let document = window.document().ok_or("no document")?;
+    let canvas = document
+        .create_element("canvas")?
+        .dyn_into::<HtmlCanvasElement>()?;
+    canvas.set_width(width);
+    canvas.set_height(height);
+    Ok(canvas)
+}

routes/root/index.html

@@ -6,17 +6,39 @@
     <style>
       body {
         font-family: system-ui, sans-serif;
-        background-color: Cornsilk;
+        margin: 0;
+        padding: 0;
+        overflow: hidden;
       }
+
+      #fractal-canvas {
+        position: fixed;
+        top: 0;
+        left: 0;
+        width: 100%;
+        height: 100%;
+        z-index: -1;
+      }
+
+      .content-overlay {
+        position: relative;
+        z-index: 1;
+        min-height: 100vh;
+        display: flex;
+        flex-direction: column;
+        align-items: center;
+        justify-content: center;
+      }
+
       header h2 {
         font-weight: normal;
         font-family: "Gill Sans", sans-serif;
         text-align: center;
-      }
-
-      body {
-        margin: 0;
-        padding: 0;
+        color: #fff;
+        text-shadow: 0 2px 4px rgba(0, 0, 0, 0.5);
+        background: rgba(0, 0, 0, 0.3);
+        padding: 0.5rem 1.5rem;
+        border-radius: 8px;
       }
 
       nav.directory {
@@ -31,25 +53,72 @@
 
       nav.directory dt a {
         text-decoration: none;
-        color: #333;
+        color: #fff;
         padding: 0.5rem 1rem;
         display: inline-block;
+        background: rgba(0, 0, 0, 0.3);
+        border-radius: 4px;
+        text-shadow: 0 1px 2px rgba(0, 0, 0, 0.5);
+        transition: background 0.2s;
+      }
+
+      nav.directory dt a:hover {
+        background: rgba(0, 0, 0, 0.5);
       }
     </style>
   </head>
   <body>
-    <header>
-      <h2>Zachery Aaron Shores-Chmielewski</h2>
-    </header>
+    <canvas id="fractal-canvas"></canvas>
 
-    <nav class="directory">
-      <nav>
-        <dl>
-          <dt><a href="./who">Who</a></dt>
-          <!-- <dt><a href="#">Writing</a></dt> -->
-          <dt><a href="./contact">Send me a message</a></dt>
-        </dl>
+    <div class="content-overlay">
+      <header>
+        <h2>Zachery Aaron Shores-Chmielewski</h2>
+      </header>
+
+      <nav class="directory">
+        <nav>
+          <dl>
+            <dt><a href="./who">Who</a></dt>
+            <dt><a href="./contact">Send me a message</a></dt>
+          </dl>
+        </nav>
       </nav>
-    </nav>
+    </div>
+
+    <script src="/routes/root/pkg/fractal_engine.js"></script>
+    <script>
+      (async function() {
+        await wasm_bindgen('/routes/root/pkg/fractal_engine_bg.wasm');
+
+        const canvas = document.getElementById('fractal-canvas');
+
+        function resizeCanvas() {
+          canvas.width = window.innerWidth;
+          canvas.height = window.innerHeight;
+        }
+
+        resizeCanvas();
+        window.addEventListener('resize', resizeCanvas);
+
+        let startTime = performance.now();
+        const animationSpeed = 0.0001;
+        const scale = 4; // Render at 1/4 resolution for performance
+
+        function animate() {
+          const elapsed = performance.now() - startTime;
+          const time = elapsed * animationSpeed;
+
+          try {
+            wasm_bindgen.render_fractal_animated('fractal-canvas', time, scale);
+          } catch (e) {
+            console.error('Fractal render error:', e);
+          }
+
+          requestAnimationFrame(animate);
+        }
+
+        animate();
+      })();
+    </script>
   </body>
 </html>