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7 <title>turing-surface — reaction-diffusion on closed surfaces, live in the browser</title>
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179 </style>
180 </head>
181 <body>
182 <main>
183 <h1>turing-surface</h1>
184 <p class="warn">
185 <b>⚠ Work in progress: the geometry is drawn, not solved on.</b>
186 The solver still uses the round sphere's Laplace–Beltrami operator, so
187 on other shapes you see the sphere's pattern painted onto that surface.
188 </p>
189 <p class="sub">
190 Reaction-diffusion on closed surfaces, solved live with spherical
191 harmonics on WebGPU via
192 <a href="https://github.com/concept-collection/shtns-webgpu">shtns-webgpu</a>.
193 Both the solver and the shape are the MATLAB below, compiled in your
194 browser by <a href="https://numbl.org">numbl</a>. Edit either and watch
195 it change. Drag to rotate.
196 </p>
197 <div class="controls">
198 <label>preset
199 <select id="model"></select>
200 </label>
201 <label title="The surface. Rendered, but not yet in the operator.">geometry
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203 </label>
204 <label title="Blend between the sphere (0) and the surface (1). Display only.">morph
205 <input type="range" id="morph" min="0" max="1" step="0.01" value="1" />
206 </label>
207 <label title="Iterations of the implicit diffusion solve. Changing it recompiles.">solve iters
208 <select id="niter">
209 <option value="0">0</option>
210 <option value="1" selected>1</option>
211 <option value="2">2</option>
212 <option value="4">4</option>
213 <option value="8">8</option>
214 <option value="16">16</option>
215 <option value="32">32</option>
216 <option value="64">64</option>
217 <option value="128">128</option>
218 </select>
219 </label>
220 <label>lmax
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222 <option value="31">31</option>
223 <option value="63" selected>63</option>
224 <option value="127">127</option>
225 <option value="255">255</option>
226 </select>
227 </label>
228 <label title="Render on a finer grid. Display only.">display oversampling
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230 <option value="auto" selected>auto</option>
231 <option value="1">off</option>
232 <option value="2">2×</option>
233 <option value="4">4×</option>
234 <option value="8">8×</option>
235 </select>
236 </label>
237 <label>colormap
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244 <button id="movietoggle" title="Export the run as an MP4 movie">Export movie</button>
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264 <option value="1440">1440</option>
265 </select>
266 </label>
267 <label title="Slowly orbit the camera during the movie">
268 <input type="checkbox" id="movierotate" checked /> auto-rotate
269 </label>
270 <button id="movie" title="Replay the run from t = 0 and download an MP4">Export</button>
271 </div>
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273 <div class="controls" id="geomparams"></div>
274 <p id="geomnote" class="stats"></p>
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277 <p class="stats" id="benchresult"></p>
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298 ></textarea>
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302 </div>
303 <div class="cli">
304 <div class="cli-head">
305 <span>The same run on the desktop</span>
306 <button id="copycmd" type="button">Copy</button>
307 </div>
308 <code id="cmd"></code>
309 </div>
310 <p id="blurb"></p>
311 <p id="err"></p>
312 </main>
313 <script type="module" src="/src/main.ts"></script>
314 </body>
315</html>