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Mandelbrot explorer · kimi-k3

Output generated Cost / run $0.1036 Runtime 93.8s

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.

⛨ sandboxed Open in new tab ↗

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

modelkimi-k3
vendorMoonshot · Kimi
harnesspi 0.87.1 · browser iteration
generated2026-10-14

METRICS

runtime93.8s
tokens in141k
tokens out5.6k
cached126k
cost / run$0.1036
Transcript · 25 messages
system

user

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.

assistant
thinking
Let me build the Mandelbrot explorer with chunked rendering to keep controls responsive. I'll write index.html with:
- Fullscreen canvas
- Smooth escape-time coloring (continuous iteration count), inside-set distinct color (black)
- Initial view showing main cardioid: real [-2.5, 1], imaginary centered
- Drag pan, wheel zoom to cursor
- Adaptive max iterations based on zoom
- Chunked rendering using requestAnimationFrame or setTimeout, render rows progressively
- Reset button
- preventDefault on wheel
- A crosshair/indicator maybe not needed

Let me write the code.
→ write index.html (7612 bytes)
toolResult

Successfully wrote to index.html

assistant
thinking
One issue: renderChunk draws via putImageData with dirty rect, but DPR — putImageData ignores CSS scaling, and canvas.width/height are device pixels, so that's fine. Let me test in the browser.
→ browser {"action":"reload"}
toolResult

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."],"dom":"Reset view\nzoom: 1.00e+0×\nre: [-2.600000000, 1.000000000]\nim: [-0.9000000000, 0.9000000000]\niterations: 200","images":"attached"}

assistant
thinking
The render only filled the top ~160px, then stopped. The putImageData with dirty rect: `ctx.putImageData(img, 0, 0, 0, row, w, endRow - row)`. Wait — canvas is 1200x800 CSS, device pixel... DPR probably 1. Canvas height should be 800. Only first 160 rows filled — that suggests subsequent requestAnimationFrame chunks didn't run before the screenshot? Actually screenshot shows render appears stalled at 160 rows = 5 chunks of 32. Hmm, perhaps screenshot was taken early... but the render of 800 rows at 1200 wide with maxIter 200 shouldn't take that long. Maybe rAF chunks are running but putImageData with dirtyY row... The math: dirty rect (0, row, w, endRow-row) — correct.

Wait, the image shows the rendered strip only covers the top 160px but width is full. Maybe subsequent rAF calls aren't firing in the headless environment when idle? Let me wait and take another screenshot.

The initial render seems stalled partway. Let me check again after a moment.

→ browser {"action":"screenshot"}
toolResult

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."],"dom":"Reset view\nzoom: 1.00e+0×\nre: [-2.600000000, 1.000000000]\nim: [-0.9000000000, 0.9000000000]\niterations: 200","images":"attached"}

assistant
thinking
Full render completed fine — first screenshot was just taken mid-progressive-render. The initial view shows the main cardioid and lobes nicely.

Now test wheel zoom centered on cursor. The wheel action — the browser tool doesn't have a wheel action explicitly... Actions: reload, inspect, screenshot, motion, click, drag, key, type, scroll. "scroll" with delta probably maps to wheel. Let me hover at a boundary point, e.g., the seahorse valley around (740, 300)? Cursor point under zoom: pick a recognizable boundary point, e.g., the top of the period-2 bulb at around (520,290)? Let me scroll at the boundary between cardioid and bulb — around (620, 400)? Actually let's zoom at the seahorse valley: the neck between main cardioid and big bulb, around (620, 400). Negative delta = zoom in presumably (deltaY negative = zoom in). The scroll action takes delta. Let's scroll with negative delta at coordinates. Does scroll accept x/y? The tool schema has x, y, delta. Let me do several scrolls at the same point.
→ browser {"action":"scroll","x":620,"y":400,"delta":-480}
toolResult

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."],"dom":"Reset view\nzoom: 2.05e+0×\nre: [-2.600000000, -0.8467463223]\nim: [-0.9000000000, -0.02337316116]\niterations: 324","images":"attached"}

assistant
thinking
Hmm, the zoom happened (zoom 2.05×) but xmin didn't change — it stayed -2.6. The point under cursor should stay at cursor. Cursor at (620,400): fx = 620/1200 = 0.5167. cre = -2.6 + 0.5167*3.6 = -0.74. After zoom factor 0.487 (1.0015^-480 ≈ e^(-0.72) ≈ 0.487): xmin = cre + (-2.6 - cre)*0.487 = -0.74 + (-1.86)*0.487 = -1.646. But DOM shows xmin = -2.6, xmax=-0.847 — span 1.753, zoom 2.05×. That's as if fx=0... Actually xmin unchanged at -2.6 and xmax shrunk toward -0.847 — consistent with zoom anchored at xmin (fx=0). And ymin unchanged -0.9, ymax → -0.023. So it anchored at top-left, not the cursor!

Wait — did the screenshot image change? The image looks identical to the initial view, not zoomed. So maybe the screenshot is stale, or the render shows the same... The DOM says zoom 2.05× but the image shows full mandelbrot. Hmm, screenshot may have been captured before re-render? The image shows the same full view. Actually the image looks exactly the same as the previous one. The DOM info updated though.

Why anchored at top-left? e.clientX - rect.left... In the browser tool, scroll with x,y — maybe the synthesized wheel event had clientX=0? Possibly the scroll action ignores x/y and fires at (0,0). That would explain anchor at corner... But even corner anchor gives xmin=-2.6? If fx=0, cre = xmin = -2.6, so xmin stays -2.6. Yes! And cim = ymin = -0.9 stays. So the wheel event fired at client (0,0). The browser tool's scroll may not position the cursor.

Also image unchanged — perhaps the re-render hadn't been drawn yet at screenshot time, or the image is stale. Let me take a fresh screenshot.
→ browser {"action":"screenshot"}
toolResult

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."],"dom":"Reset view\nzoom: 2.05e+0×\nre: [-2.600000000, -0.8467463223]\nim: [-0.9000000000, -0.02337316116]\niterations: 324","images":"attached"}

assistant
thinking
The zoom re-rendered correctly (new view, detail of seahorse valley at bottom-right). Zoom math works; the tool's scroll just doesn't pass cursor coordinates (fired at 0,0). The zoom anchoring code is standard; anchored-at-cursor correctness is consistent with the code: with fx=0,fy=0 the corner stayed fixed, which is what we observed — xmin/ymin unchanged. That's actually evidence the anchoring math works: the point under the event's coordinates (0,0) stayed fixed.

Now test drag pan and Reset. Drag from (600,400) to (400,300), then screenshot, then click Reset and compare.

Zoom re-renders with new detail (anchoring math confirmed: the event's coordinate point stayed fixed). Now test drag-pan and Reset.

→ browser {"action":"drag","x":600,"y":400,"toX":400,"toY":300}
toolResult

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."],"dom":"Reset view\nzoom: 2.05e+0×\nre: [-2.307791054, -0.5545373760]\nim: [-0.7904216451, 0.08620519370]\niterations: 324","images":"attached"}

assistant
thinking
The bounds updated (re shifted by +0.292 ≈ 200px × (1.753/1200) = 0.292 ✓; im shifted by +0.146 ≈ 100px × (0.877/800) wait — imPerPx = (0.8766)/800 = 0.001096; dy = -100 → ymin -= dy*imPerPx = ymin + 0.1096. Actual: -0.9 → -0.7904, diff 0.1096 ✓). Pan math correct. Screenshot is stale again (shows old image) — the screenshot is taken before rAF redraw, it seems. Let me take another screenshot to confirm pan re-rendered, then click Reset.
→ browser {"action":"screenshot"}
toolResult

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."],"dom":"Reset view\nzoom: 2.05e+0×\nre: [-2.307791054, -0.5545373760]\nim: [-0.7904216451, 0.08620519370]\niterations: 324","images":"attached"}

assistant
thinking
Pan re-rendered correctly — view shifted, recomputed with fine detail. Now click Reset and verify framing matches initial.

Pan re-rendered correctly. Now Reset.

→ browser {"action":"click","x":61,"y":26}
toolResult

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."],"dom":"Reset view\nzoom: 1.00e+0×\nre: [-2.600000000, 1.000000000]\nim: [-1.200000000, 1.200000000]\niterations: 200","images":"attached"}

assistant
thinking
Reset worked — bounds are exactly the initial ones (re [-2.6, 1.0], im [-1.2, 1.2] since canvas is 1200×800, aspect 2/3 → yhalf = 3.6*2/3/2 = 1.2 ✓; note the first DOM read earlier showed im [-0.9,0.9] because that was before resize? Actually initial load showed ±0.9 — that suggests at first render canvas.clientWidth/Height were different, then resize corrected. Anyway, now it's consistent). The screenshot is mid-render (top strip drawn). Take a final screenshot to confirm the reset framing matches initial.

Wait — the im range changed from [-0.9, 0.9] at load to [-1.2, 1.2] after reset. Why? At load: resetView() called before resize(), when canvas.width = 300, canvas.height = 150 (default), aspect = 0.5, yhalf = 3.6*0.5/2 = 0.9. Then resize() set canvas size and scheduleRender but did NOT reset the view — so the initial framing used a stale aspect ratio! The reset view after click uses canvas.width=1200 (with dpr 1), height 800, aspect 0.667 → ±1.2. Minor inconsistency: initial load framing vs reset framing differ. Fix: call resetView() on first resize when canvas size is first established. Simple: in resize, if it's the first call, resetView() before scheduleRender. Let me fix: add a flag `firstResize`.
→ edit {"path":"index.html","edits":[{"oldText":" function resize() {\n var dpr = Math.min(window.devicePixelRatio || 1, 2);\n canvas.width
toolResult

Successfully replaced 1 block(s) in index.html.

assistant
→ browser {"action":"reload"}
toolResult

Frame 1, +1ms

[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."],"dom":"Reset view\nzoom: 1.00e+0×\nre: [-2.600000000, 1.000000000]\nim: [-1.200000000, 1.200000000]\niterations: 200","images":"attached"}

assistant
thinking
Initial bounds now im [-1.2, 1.2] matching Reset. Screenshot is mid-render again (the tool captures immediately). Take one more screenshot to verify the full initial framing and that it matches the post-reset view.

Initial bounds now match Reset bounds exactly. One more screenshot to confirm the completed framing.

→ browser {"action":"screenshot"}
toolResult

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."],"dom":"Reset view\nzoom: 1.00e+0×\nre: [-2.600000000, 1.000000000]\nim: [-1.200000000, 1.200000000]\niterations: 200","images":"attached"}

assistant
thinking
The initial framing now shows the complete cardioid and lobes centered, matching the Reset view bounds. All checks pass. Console has only the sandbox warning (environment-related, not my code). Done — report.

Done. `index.html` is a self-contained Mandelbrot explorer (no external resources) with: - **Rendering**: Canvas 2D, chunked row-by-row via `requestAnimationFrame` so the UI stays responsive; in-flight renders are cancelled by a token when you navigate. Smooth (continuous) escape-time coloring with a cyclic procedural palette; set interior rendered as a distinct dark navy. Cardioid/period-2 bulb interior check speeds up rendering. - **Navigation**: pointer drag pans; wheel zooms anchored at the complex point under the cursor (`preventDefault` + `{passive:false}` so the page never scrolls). Iteration budget grows logarithmically with zoom depth (200 → 5000 cap) to reveal new detail. Reset button restores initial bounds (re [-2.6, 1.0], im centered on 0 with aspect-correct half-span). - **HUD**: live zoom/bounds/iteration readout. Verified in the browser: - Initial load shows the full main cardioid and lobes (im now ±1.2 after fixing a stale-aspect bug where the first render used the default 300×150 canvas size). - Wheel zoom at 2.05×: bounds shrank around the event point (anchor stayed fixed at the reported cursor coordinates) and the image recomputed with finer boundary detail at 324 iterations. - Drag pan shifted bounds by exactly the expected complex offsets and re-rendered the new region. - Reset after pan/zoom restored exactly the initial bounds and framing. Caveats: the harness's synthetic scroll event reports client coordinates (0,0), so cursor-centered anchoring was verified via the bounds math (anchor point stayed fixed) rather than at an arbitrary cursor position; very deep zooms (>1e12) would need perturbation/big-float arithmetic and are untested.