Mandelbrot explorer · muse-wonder
Output generated Cost / run $0.5609 Runtime 90.7s
Prompt for this run
Build an interactive Mandelbrot-set explorer on a full-screen canvas. Use HTML, CSS, and JavaScript as needed. Write it to `index.html` in the current working directory using your file tools. Inline your own CSS and JavaScript. Do not use external assets, CDNs, or network requests. No third-party libraries are provided. Required behavior: - Compute the Mandelbrot set from complex coordinates and use a smooth escape-time color gradient, with a distinct color for points treated as inside the set. - Initially show the complete main cardioid and surrounding lobes. Dragging pans the image with the pointer. Mouse-wheel zoom is centered on the complex point under the cursor. - Recompute the fractal after navigation rather than scaling a static image. Use sufficient iterations to reveal new detail as the user zooms, and keep controls responsive during rendering. - Provide Reset view to restore the initial bounds. Prevent wheel navigation from scrolling the surrounding page. - Use Canvas 2D or WebGL and procedural colors; do not load a fractal image. Verify: Zoom into a recognizable boundary point and check that it stays near the cursor while additional detail is rendered. Pan the view, then use Reset view and compare with the initial framing.
TAKE IT TO CODE
A single self-contained HTML file — copy it and open in any browser, or reuse the prompt with your own pi-agent run.
RUN
METRICS
Transcript · 23 messages
Build an interactive Mandelbrot-set explorer on a full-screen canvas. Use HTML, CSS, and JavaScript as needed. Write it to `index.html` in the current working directory using your file tools. Inline your own CSS and JavaScript. Do not use external assets, CDNs, or network requests. No third-party libraries are provided. Required behavior: - Compute the Mandelbrot set from complex coordinates and use a smooth escape-time color gradient, with a distinct color for points treated as inside the set. - Initially show the complete main cardioid and surrounding lobes. Dragging pans the image with the pointer. Mouse-wheel zoom is centered on the complex point under the cursor. - Recompute the fractal after navigation rather than scaling a static image. Use sufficient iterations to reveal new detail as the user zooms, and keep controls responsive during rendering. - Provide Reset view to restore the initial bounds. Prevent wheel navigation from scrolling the surrounding page. - Use Canvas 2D or WebGL and procedural colors; do not load a fractal image. Verify: Zoom into a recognizable boundary point and check that it stays near the cursor while additional detail is rendered. Pan the view, then use Reset view and compare with the initial framing.
thinking
Designing a single-file Canvas 2D Mandelbrot explorer with worker-based rendering, smooth coloring, pan, zoom, and reset while keeping UI responsive.Switching to a WebGL fragment shader for real-time rendering and adding pan, zoom, and fallback logic.
index.html (17880 bytes)Successfully wrote to index.html
thinking
{"action":"inspect"}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x19a400171e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels"],"dom":"Mandelbrot Explorer\n\nDrag to pan · Scroll to zoom at the cursor · Double-click to zoom in · Pinch on touch devices\n\n⟳ Reset view\nZoom +\nZoom −\nFLY TO\nSeahorse Valley\nElephant Valley\nSpiral\nNeedle\nMAX ITERATIONS\n140 (auto)\nAuto-increase iterations when zooming\nCOLOR CYCLE\n1.0×\nRendered on GPU · 1200×800\nCenter -0.750000 +0.000000i Zoom 1.00× Iter 140\nCursor -2.500000 +1.166667i\nArrow keys pan · + / − zoom · R resets\nEvery move recomputes the set — no image is scaled.","images":"attached"}
thinking
Evaluating color palette frequency adjustment and browser tool limitations for coordinate-specific scroll actions.
{"action":"click","x":72,"y":178}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x19a400171e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x19a400171e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels"],"dom":"Mandelbrot Explorer\n\nDrag to pan · Scroll to zoom at the cursor · Double-click to zoom in · Pinch on touch devices\n\n⟳ Reset view\nZoom +\nZoom −\nFLY TO\nSeahorse Valley\nElephant Valley\nSpiral\nNeedle\nMAX ITERATIONS\n432 (auto)\nAuto-increase iterations when zooming\nCOLOR CYCLE\n1.0×\nRendered on GPU · 1200×800\nCenter -0.745000 +0.113000i Zoom 100.0× Iter 432\nCursor —\nArrow keys pan · + / − zoom · R resets\nEvery move recomputes the set — no image is scaled.","images":"attached"}
thinking
{"action":"scroll","delta":-600}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x19a400171e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x19a400171e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels"],"dom":"Mandelbrot Explorer\n\nDrag to pan · Scroll to zoom at the cursor · Double-click to zoom in · Pinch on touch devices\n\n⟳ Reset view\nZoom +\nZoom −\nFLY TO\nSeahorse Valley\nElephant Valley\nSpiral\nNeedle\nMAX ITERATIONS\n432 (auto)\nAuto-increase iterations when zooming\nCOLOR CYCLE\n1.0×\nRendered on GPU · 1200×800\nCenter -0.745000 +0.113000i Zoom 100.0× Iter 432\nCursor —\nArrow keys pan · + / − zoom · R resets\nEvery move recomputes the set — no image is scaled.","images":"attached"}
thinking
{"action":"click","x":700,"y":450}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x19a400171e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x19a400171e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels"],"dom":"Mandelbrot Explorer\n\nDrag to pan · Scroll to zoom at the cursor · Double-click to zoom in · Pinch on touch devices\n\n⟳ Reset view\nZoom +\nZoom −\nFLY TO\nSeahorse Valley\nElephant Valley\nSpiral\nNeedle\nMAX ITERATIONS\n432 (auto)\nAuto-increase iterations when zooming\nCOLOR CYCLE\n1.0×\nRendered on GPU · 1200×800\nCenter -0.745000 +0.113000i Zoom 100.0× Iter 432\nCursor -0.742083 +0.111542i\nArrow keys pan · + / − zoom · R resets\nEvery move recomputes the set — no image is scaled.","images":"attached"}
thinking
{"action":"click","x":700,"y":450}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x19a400171e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x19a400171e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels"],"dom":"Mandelbrot Explorer\n\nDrag to pan · Scroll to zoom at the cursor · Double-click to zoom in · Pinch on touch devices\n\n⟳ Reset view\nZoom +\nZoom −\nFLY TO\nSeahorse Valley\nElephant Valley\nSpiral\nNeedle\nMAX ITERATIONS\n432 (auto)\nAuto-increase iterations when zooming\nCOLOR CYCLE\n1.0×\nRendered on GPU · 1200×800\nCenter -0.745000 +0.113000i Zoom 100.0× Iter 432\nCursor -0.742083 +0.111542i\nArrow keys pan · + / − zoom · R resets\nEvery move recomputes the set — no image is scaled.","images":"attached"}
thinking
{"action":"scroll","delta":-500}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x19a400171e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x19a400171e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x19a400171e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels"],"dom":"Mandelbrot Explorer\n\nDrag to pan · Scroll to zoom at the cursor · Double-click to zoom in · Pinch on touch devices\n\n⟳ Reset view\nZoom +\nZoom −\nFLY TO\nSeahorse Valley\nElephant Valley\nSpiral\nNeedle\nMAX ITERATIONS\n506 (auto)\nAuto-increase iterations when zooming\nCOLOR CYCLE\n1.0×\nRendered on GPU · 1200×800\nCenter -0.743269 +0.112135i Zoom 246.0× Iter 506\nCursor -0.742083 +0.111542i\nArrow keys pan · + / − zoom · R resets\nEvery move recomputes the set — no image is scaled.","images":"attached"}
thinking
{"action":"drag","x":650,"y":450,"toX":800,"toY":550}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x19a400171e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x19a400171e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x19a400171e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x19a400171e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"Mandelbrot Explorer\n\nDrag to pan · Scroll to zoom at the cursor · Double-click to zoom in · Pinch on touch devices\n\n⟳ Reset view\nZoom +\nZoom −\nFLY TO\nSeahorse Valley\nElephant Valley\nSpiral\nNeedle\nMAX ITERATIONS\n506 (auto)\nAuto-increase iterations when zooming\nCOLOR CYCLE\n1.0×\nRendered on GPU · 1200×800\nCenter -0.745048 +0.113320i Zoom 246.0× Iter 506\nCursor -0.742676 +0.111542i\nArrow keys pan · + / − zoom · R resets\nEvery move recomputes the set — no image is scaled.","images":"attached"}
thinking
{"action":"click","x":81,"y":112}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x19a400171e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x19a400171e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x19a400171e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x19a400171e00]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"Mandelbrot Explorer\n\nDrag to pan · Scroll to zoom at the cursor · Double-click to zoom in · Pinch on touch devices\n\n⟳ Reset view\nZoom +\nZoom −\nFLY TO\nSeahorse Valley\nElephant Valley\nSpiral\nNeedle\nMAX ITERATIONS\n140 (auto)\nAuto-increase iterations when zooming\nCOLOR CYCLE\n1.0×\nRendered on GPU · 1200×800\nCenter -0.750000 +0.000000i Zoom 1.00× Iter 140\nCursor —\nArrow keys pan · + / − zoom · R resets\nEvery move recomputes the set — no image is scaled.","images":"attached"}
thinking
{"command":"ls -lh index.html && grep -Eo 'https?://[^\" ]+|src=|@import|url\\(' index.html || echo \"no external references found\""}-rw-r--r-- 1 node node 18K Oct 15 04:07 index.html no external references found
thinking
Created `index.html` — a single self-contained Mandelbrot explorer (18 KB, no external resources). **Features** - WebGL fragment-shader computation from complex coordinates (with a chunked CPU fallback if WebGL is unavailable), smooth escape-time cosine-palette coloring, and near-black interior points, including cardioid/bulb early-out - Initial view centered at −0.75 + 0i with a 3.5-wide span, showing the full main cardioid and surrounding lobes - Drag to pan, mouse-wheel zoom anchored to the complex point under the cursor (`preventDefault` with a non-passive listener so the page never scrolls), double-click/pinch/keyboard zoom, preset locations (Seahorse/Elephant Valley, Spiral, Needle) - Every navigation triggers a fresh shader recompute — no static image scaling; auto iterations grow with magnification (140 at 1× up to 2000 max), plus manual iteration and color-cycle controls and a live HUD showing center, zoom, iterations, and cursor coordinates - Reset view button (and `R` key) restoring the exact initial bounds **Verified in the browser** - Initial framing renders the complete cardioid and lobes correctly on GPU - Flew to Seahorse Valley (100×, iterations rose to 432), then wheel-zoomed at a boundary point at (700, 450): zoom increased to 246× and iterations to 506 with visibly finer detail, while the HUD cursor coordinate stayed exactly −0.742083 + 0.111542i — confirming cursor-anchored zoom - Drag-panned the view (center shifted and image re-rendered), then clicked Reset view and confirmed the framing, center (−0.750000 + 0.000000i), zoom (1.00×), and iteration count matched the initial view exactly - Confirmed no external URLs/references in the file; console showed only benign WebGL performance warnings **Not verified** - Touch pinch zoom, double-click zoom, and the CPU fallback path (WebGL was available in the test environment); very deep zooms beyond ~10⁷× will eventually hit float32 shader precision, which is inherent to the WebGL approach chosen for responsiveness.