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Mandelbrot explorer · claude-haiku-5.5

Output generated Cost / run $0.0134 Runtime 101.9s

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

modelclaude-haiku-5.5
vendorAnthropic · Claude
harnesspi 0.87.1 · browser iteration
generated2026-10-14

METRICS

runtime101.9s
tokens in108k
tokens out13k
cached53k
cost / run$0.0134
Transcript · 23 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
I'm planning the structure of the fractal viewer: a full-screen canvas with pan/zoom state, rendering progressively in row chunks to avoid blocking the UI while computing.

I'm working out iteration counts and smooth coloring based on escape velocity, plus wheel-zoom logic that keeps the point under the cursor fixed while rescaling. I'm also setting initial view bounds so the full Mandelbrot set fits nicely on screen regardless of aspect ratio.

For interactivity, I'm handling resize by preserving center/scale, and panning by translating the center based on drag delta. To keep things responsive during drag or deep zoom, I'm planning time-sliced rendering with a generation counter so stale renders get cancelled when new ones start, since high iteration counts at full resolution can get computationally heavy.

I need to prevent default scroll behavior on wheel events and hide body overflow for a cleaner zoom experience, while verifying the cursor-anchor math keeps the point under the mouse fixed exactly. I'm also adding readouts for center, view height, and iteration count, plus scaling max iterations logarithmically with zoom depth, capping around a few thousand for performance. For the per-pixel loop, I'm converting screen coordinates to complex coordinates with y-axis flipped so imaginary values increase upward, and adding cardioid/period-2 bulb interior checks to skip unnecessary iterations and speed up rendering.

Now I'm structuring the chunked rendering: a generation counter cancels stale renders, and each time slice processes rows within a budget before painting just the dirty rectangle back to the canvas, looping via setTimeout until all rows finish. For coloring, I'm using a cosine-based palette that cycles hue smoothly based on the normalized iteration count.

For the Mandelbrot escape test, I'm using a large bailout radius (65536) combined with a smooth log-based normalization formula, plus early shortcuts to detect points inside the main cardioid or period-2 bulb without iterating. I'm sketching the inner pixel loop that tracks x, y, breaks on escape, and computes the smoothed iteration value, with panning handled via pointer drag events that also bump the render generation to cancel in-flight work.

I'm throttling renders during drag to one per animation frame via requestAnimationFrame rather than firing on every pointermove, accepting that partial/stale rows may briefly show while the budget-sliced render catches up. I'll also add a small HUD overlay showing render progress and timing, plus a reset button, before writing the file.

→ write /tmp/job-U7UN7d/index.html (7620 bytes)
→ browser {"action":"screenshot"}
toolResult

Successfully wrote to /tmp/job-U7UN7d/index.html

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":"Mandelbrot Explorer\nCenter: -0.5000000000 + 0.000000000i\nView height: 2.600\nMax iterations: 300\nRendering… 46%\nReset view\nDrag to pan. Wheel to zoom at cursor.","images":"attached"}

assistant
thinking
The screenshot only shows the top portion rendered, suggesting the render was captured too early at 15% progress rather than being complete. I'm double-checking the dirty-rect update logic used to paint the image incrementally, which looks correct, so the issue is likely just timing of when the screenshot was taken.

I'm also verifying the math: the cardioid shortcut check and the smooth-coloring normalization formula both hold up fine even with a large escape radius. The viewport settings centered near the main cardioid also seem right, so I'll grab another screenshot to confirm the render completes properly.

The screenshot caught the render at 15%, so it's not a final result. I'll take another one once rendering finishes.

→ browser {"action":"screenshot"}
→ browser {"action":"inspect"}
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":"Mandelbrot Explorer\nCenter: -0.5000000000 + 0.000000000i\nView height: 2.600\nMax iterations: 300\nDone in 621 ms\nReset view\nDrag to pan. Wheel to zoom at cursor.","images":"attached"}

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":"Mandelbrot Explorer\nCenter: -0.5000000000 + 0.000000000i\nView height: 2.600\nMax iterations: 300\nDone in 621 ms\nReset view\nDrag to pan. Wheel to zoom at cursor.","images":"attached"}

assistant
thinking
The render looks good with proper initial framing. Now I want to quickly test zoom, pan, and reset — I'll use the scroll action at a point to simulate zoom, then verify reset works, keeping the test brief.

The initial framing renders completely: the main cardioid, the lobes, and the inside color all show. Next I'll check wheel zoom at a point and then Reset.

→ browser {"action":"scroll","x":700,"y":200,"delta":-400}
→ 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":"Mandelbrot Explorer\nCenter: -1.089531164 + 0.3930207761i\nView height: 1.814\nMax iterations: 319\nRendering… 41%\nReset view\nDrag to pan. Wheel to zoom at cursor.","images":"attached"}

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":"Mandelbrot Explorer\nCenter: -1.089531164 + 0.3930207761i\nView height: 1.814\nMax iterations: 319\nDone in 278 ms\nReset view\nDrag to pan. Wheel to zoom at cursor.","images":"attached"}

assistant
thinking
I'm checking whether zooming at the cursor position correctly keeps the clicked point fixed, comparing the complex coordinates before and after the scroll to verify the center shift matches expectations.

I'm trying to figure out whether the cursor coordinates used for the zoom anchor actually match the pixel position I assumed, since the resulting center doesn't line up with my calculation—it seems the tool may be anchoring the scroll at a different point than I expected, and without more verification I can't pin down exactly where.

Since I can't run JS evaluation to confirm this directly, I'm planning a controlled test: reset the view, then scroll at a specific known pixel to see whether the resulting center matches my predicted formula, which should reveal the actual anchor mapping.

The zoom changed the view, but the reported center doesn't match what I expected for a cursor at (700, 200). I'll reload and run a controlled zoom to check the anchor math.

→ browser {"action":"reload"}
→ browser {"action":"scroll","x":300,"y":400,"delta":-400}
→ browser {"action":"inspect"}
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":"Mandelbrot Explorer\nCenter: -0.5000000000 + 0.000000000i\nView height: 2.600\nMax iterations: 300\nRendering… 52%\nReset view\nDrag to pan. Wheel to zoom at cursor.","images":"attached"}

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":"Mandelbrot Explorer\nCenter: -1.089531164 + 0.3930207761i\nView height: 1.814\nMax iterations: 319\nRendering… 45%\nReset view\nDrag to pan. Wheel to zoom at cursor.","images":"attached"}

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":"Mandelbrot Explorer\nCenter: -1.089531164 + 0.3930207761i\nView height: 1.814\nMax iterations: 319\nDone in 355 ms\nReset view\nDrag to pan. Wheel to zoom at cursor.","images":"attached"}

assistant
thinking
I notice something odd: the view center ends up the same for cursor positions at (700,200) and (300,400), which suggests the zoom anchor isn't actually tracking the cursor coordinates correctly. The wheel event might be dispatching at the wrong clientX/clientY, so I need to check how the anchor is computed from the old view before applying the new zoom.

My manual calculation gives a different predicted center than what was actually reported, which means the wheel events aren't landing at the coordinates I assumed. Rather than keep guessing at the anchor logic, I think it's better to just verify this empirically with a direct test instead of reasoning it out further.

Let me try one more test: reload, scroll at (900,600) with delta -400, then inspect after waiting to see if the center shifts consistently with the formula.

The two zooms at different cursor positions returned the same center, so I'll run one more controlled zoom to see whether the anchor follows the cursor.

→ browser {"action":"reload"}
→ browser {"action":"scroll","x":900,"y":600,"delta":-400}
→ browser {"action":"inspect"}
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":"Mandelbrot Explorer\nCenter: -0.5000000000 + 0.000000000i\nView height: 2.600\nMax iterations: 300\nRendering… 50%\nReset view\nDrag to pan. Wheel to zoom at cursor.","images":"attached"}

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":"Mandelbrot Explorer\nCenter: -1.089531164 + 0.3930207761i\nView height: 1.814\nMax iterations: 319\nRendering… 41%\nReset view\nDrag to pan. Wheel to zoom at cursor.","images":"attached"}

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":"Mandelbrot Explorer\nCenter: -1.089531164 + 0.3930207761i\nView height: 1.814\nMax iterations: 319\nDone in 294 ms\nReset view\nDrag to pan. Wheel to zoom at cursor.","images":"attached"}

assistant
thinking
The scroll tool keeps producing the same zoom center of -1.0895 + 0.393i regardless of the x,y I give it, which makes me suspect the wheel event isn't actually using those coordinates—maybe it's always dispatched at a fixed point like the viewport center instead.

Given the time budget running low, I should be honest that I can't conclusively verify anchor precision through this harness since the scroll coordinates seem to always resolve to the same center point. I'll do one more quick check -- clicking reset and inspecting the result -- before wrapping up.

The wheel tests at three different cursor positions all produced the same center (-1.089531164 + 0.393020776i), so the harness may not be passing my x/y coordinates. I'll check Reset, which I haven't exercised yet.

→ browser {"action":"click","x":67,"y":146}
→ browser {"action":"inspect"}
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":"Mandelbrot Explorer\nCenter: -0.5000000000 + 0.000000000i\nView height: 2.600\nMax iterations: 300\nRendering… 56%\nReset view\nDrag to pan. Wheel to zoom at cursor.","images":"attached"}

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":"Mandelbrot Explorer\nCenter: -0.5000000000 + 0.000000000i\nView height: 2.600\nMax iterations: 300\nDone in 338 ms\nReset view\nDrag to pan. Wheel to zoom at cursor.","images":"attached"}

assistant
thinking
Reset behaves correctly, matching the initial state. But the wheel-anchoring math seems suspicious since the observed center stays identical regardless of cursor position—maybe the test harness isn't delivering real clientX/clientY values, defaulting them to zero.

The identical results across wheel positions make me suspect the scroll tool might not actually target specific coordinates, but the anchor math itself checks out analytically, so I'll trust the code and report what I observe honestly rather than overclaim precise cursor-anchoring verification. I'll do a final sanity check that the file is in place before wrapping up.

I'm stopping the browser checks here. The file is saved at `/tmp/job-U7UN7d/index.html` and needs no further changes from these checks. **What I verified in the browser:** - **Initial render:** The full main cardioid and surrounding lobes appear, with smooth colors outside and a distinct dark color inside. It rendered in about 620 ms with no console errors. The only console message was a sandbox warning from the harness. - **Reset view:** After zooming and clicking Reset, the HUD returned to center `-0.5 + 0i` and view height `2.600`, and the image matched the initial frame. - **Recompute on zoom:** Zooming recomputed the fractal at higher iteration counts (300 → 319) with new detail, rather than scaling the old image. **What is not verified:** - **Cursor-anchored zoom:** Three wheel events at different positions (700,200), (300,400), and (900,600) all produced the same center, `-1.089531164 + 0.393020776i`. I could not confirm that the zoom stays under the cursor. The anchor math in the code looks correct: it records the complex point under the cursor before zooming and shifts the center so that point stays fixed. The likely explanation is that the harness's scroll tool does not pass cursor coordinates through, but I did not confirm this. - **Dragging to pan:** The code path exists, but I did not test it in the browser. - **Responsiveness during render:** Rendering is time-sliced and cancellable. I did not measure input latency while a render was in progress. - **Page-scroll prevention:** Wheel events call `preventDefault`, but I did not confirm that the page stays still.