Lorenz attractor · muse-wonder
Output generated Cost / run $0.7260 Runtime 125.9s
Prompt for this run
Build a 3D Lorenz-attractor visualization using the provided Three.js library. 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. Use the provided `three.min.js` (global `THREE`) through a plain local script tag; the runner will inline it into the final artifact. Required behavior: - Integrate the Lorenz system with sigma = 10, rho = 28, beta = 8/3, and initial state (0.1, 0, 0). Use a stable numerical time step. - Draw a luminous-looking, colored trajectory progressively as the system evolves, revealing its two-lobed butterfly shape. Keep trajectory storage bounded; actual bloom postprocessing is optional. - Frame the full attractor initially. Dragging orbits the camera around it, and the mouse wheel changes camera distance without entering the geometry. - Provide Pause/Resume and Reset. Pause freezes trajectory growth while camera controls remain usable; Reset clears the trail and restores the initial simulation state. - Only the core global THREE library is provided. Implement camera interaction without importing unavailable addons. Verify: Sample trajectory growth, orbit the camera, and check that the existing trail remains connected and visible from the new angle. Pause growth while moving the camera, then reset and check that the trail starts again from the initial state.
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 · 37 messages
Build a 3D Lorenz-attractor visualization using the provided Three.js library. 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. Use the provided `three.min.js` (global `THREE`) through a plain local script tag; the runner will inline it into the final artifact. Required behavior: - Integrate the Lorenz system with sigma = 10, rho = 28, beta = 8/3, and initial state (0.1, 0, 0). Use a stable numerical time step. - Draw a luminous-looking, colored trajectory progressively as the system evolves, revealing its two-lobed butterfly shape. Keep trajectory storage bounded; actual bloom postprocessing is optional. - Frame the full attractor initially. Dragging orbits the camera around it, and the mouse wheel changes camera distance without entering the geometry. - Provide Pause/Resume and Reset. Pause freezes trajectory growth while camera controls remain usable; Reset clears the trail and restores the initial simulation state. - Only the core global THREE library is provided. Implement camera interaction without importing unavailable addons. Verify: Sample trajectory growth, orbit the camera, and check that the existing trail remains connected and visible from the new angle. Pause growth while moving the camera, then reset and check that the trail starts again from the initial state.
thinking
{"command":"ls -la; ls -lh three.min.js; head -c 500 three.min.js"}total 604 drwx------ 3 node node 4096 Oct 15 04:06 . drwxrwxrwt 6 root root 4096 Oct 15 04:06 .. drwxr-xr-x 3 node node 4096 Oct 15 04:06 .home -rw-r--r-- 1 node node 603445 Oct 15 04:06 three.min.js -rw-r--r-- 1 node node 590K Oct 15 04:06 three.min.js /** * @license * Copyright 2010-2021 Three.js Authors * SPDX-License-Identifier: MIT */ !function(t,e){"object"==typeof exports&&"undefined"!=typeof module?e(exports):"function"==typeof define&&define.amd?define(["exports"],e):e((t="undefined"!=typeof globalThis?globalThis:t||self).THREE={})}(this,(function(t){"use strict";const e="128",n=100,i=300,r=301,s=302,a=303,o=304,l=306,c=307,h=1e3,u=1001,d=1002,p=1003,m=1004,f=1005,g=1006,v=1007,y=1008,x=1009,_=1012,w=1014,b=1015,M=1016,S=1020,T=102
thinking
Implementing a single-page Three r128 Lorenz attractor with RK4 integration, manual orbit controls, UI, and test hooks.Bounding the trajectory with a preallocated ring buffer and fading trail via chunked array shifts.
index.html (14876 bytes)Successfully wrote to index.html
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{"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-0x1d340017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x1d340017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x1d340017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x1d340017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"CHAOS · STRANGE ATTRACTOR\nThe Lorenz\nButterfly\n\nA deterministic system that never repeats — watch sensitivity to initial conditions trace two luminous lobes.\n\ndx/dt = σ(y − x)\ndy/dt = x(ρ − z) − y\ndz/dt = xy − βz\n⏸ Pause\n↺ Reset\n⌂ Reframe\nIntegrating · RK4\nTIME\n0.69\nPOINTS\n99\nSTATE\n7.8, -7.9, 39.5\nSpeed\n14×\nTrail\n22k\n\nσ = 10 ρ = 28 β = 8/3 · dt = 0.007 (RK4) · bounded trail buffer\n\nleft lobe\nright lobe\nDrag to orbit · Scroll to zoom · Right-drag / Shift-drag to pan","images":"attached"}
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{"action":"screenshot"}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-0x1d340017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x1d340017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x1d340017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x1d340017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"CHAOS · STRANGE ATTRACTOR\nThe Lorenz\nButterfly\n\nA deterministic system that never repeats — watch sensitivity to initial conditions trace two luminous lobes.\n\ndx/dt = σ(y − x)\ndy/dt = x(ρ − z) − y\ndz/dt = xy − βz\n⏸ Pause\n↺ Reset\n⌂ Reframe\nIntegrating · RK4\nTIME\n10.09\nPOINTS\n1,443\nSTATE\n-6.8, -4.9, 27.6\nSpeed\n14×\nTrail\n22k\n\nσ = 10 ρ = 28 β = 8/3 · dt = 0.007 (RK4) · bounded trail buffer\n\nleft lobe\nright lobe\nDrag to orbit · Scroll to zoom · Right-drag / Shift-drag to pan","images":"attached"}
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{"action":"drag","x":720,"y":420,"toX":960,"toY":300}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x1d340017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x1d340017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x1d340017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x1d340017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"CHAOS · STRANGE ATTRACTOR\nThe Lorenz\nButterfly\n\nA deterministic system that never repeats — watch sensitivity to initial conditions trace two luminous lobes.\n\ndx/dt = σ(y − x)\ndy/dt = x(ρ − z) − y\ndz/dt = xy − βz\n⏸ Pause\n↺ Reset\n⌂ Reframe\nIntegrating · RK4\nTIME\n20.68\nPOINTS\n2,955\nSTATE\n-4.3, -4.1, 22.4\nSpeed\n14×\nTrail\n22k\n\nσ = 10 ρ = 28 β = 8/3 · dt = 0.007 (RK4) · bounded trail buffer\n\nleft lobe\nright lobe\nDrag to orbit · Scroll to zoom · Right-drag / Shift-drag to pan","images":"attached"}
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{"action":"click","x":98,"y":301}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-0x1d340017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x1d340017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x1d340017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x1d340017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"CHAOS · STRANGE ATTRACTOR\nThe Lorenz\nButterfly\n\nA deterministic system that never repeats — watch sensitivity to initial conditions trace two luminous lobes.\n\ndx/dt = σ(y − x)\ndy/dt = x(ρ − z) − y\ndz/dt = xy − βz\n▶ Resume\n↺ Reset\n⌂ Reframe\nPaused — camera still free\nTIME\n25.09\nPOINTS\n3,585\nSTATE\n3.7, 4.4, 19.8\nSpeed\n14×\nTrail\n22k\n\nσ = 10 ρ = 28 β = 8/3 · dt = 0.007 (RK4) · bounded trail buffer\n\nleft lobe\nright lobe\nDrag to orbit · Scroll to zoom · Right-drag / Shift-drag to pan","images":"attached"}
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{"action":"drag","x":800,"y":400,"toX":620,"toY":520}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-0x1d340017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x1d340017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x1d340017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x1d340017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"CHAOS · STRANGE ATTRACTOR\nThe Lorenz\nButterfly\n\nA deterministic system that never repeats — watch sensitivity to initial conditions trace two luminous lobes.\n\ndx/dt = σ(y − x)\ndy/dt = x(ρ − z) − y\ndz/dt = xy − βz\n▶ Resume\n↺ Reset\n⌂ Reframe\nPaused — camera still free\nTIME\n25.09\nPOINTS\n3,585\nSTATE\n3.7, 4.4, 19.8\nSpeed\n14×\nTrail\n22k\n\nσ = 10 ρ = 28 β = 8/3 · dt = 0.007 (RK4) · bounded trail buffer\n\nleft lobe\nright lobe\nDrag to orbit · Scroll to zoom · Right-drag / Shift-drag to pan","images":"attached"}
thinking
{"action":"scroll","x":800,"y":400,"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-0x1d340017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x1d340017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x1d340017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x1d340017e000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"CHAOS · STRANGE ATTRACTOR\nThe Lorenz\nButterfly\n\nA deterministic system that never repeats — watch sensitivity to initial conditions trace two luminous lobes.\n\ndx/dt = σ(y − x)\ndy/dt = x(ρ − z) − y\ndz/dt = xy − βz\n▶ Resume\n↺ Reset\n⌂ Reframe\nPaused — camera still free\nTIME\n25.09\nPOINTS\n3,585\nSTATE\n3.7, 4.4, 19.8\nSpeed\n14×\nTrail\n22k\n\nσ = 10 ρ = 28 β = 8/3 · dt = 0.007 (RK4) · bounded trail buffer\n\nleft lobe\nright lobe\nDrag to orbit · Scroll to zoom · Right-drag / Shift-drag to pan","images":"attached"}
thinking
{"path":"index.html","edits":[{"oldText":"resetBtn.addEventListener('click',()=>{ resetSim(); });","newText":"resetBtn.addEventListener('cliSuccessfully replaced 2 block(s) in index.html.
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{"path":"index.html","edits":[{"oldText":"if(e.key==='r'||e.key==='R') resetSim();","newText":"if(e.key==='r'||e.key==='R'){ resetSim(); setSuccessfully replaced 1 block(s) in index.html.
{"action":"reload"}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x32dc0011a000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x32dc0011a000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x32dc0011a000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x32dc0011a000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"CHAOS · STRANGE ATTRACTOR\nThe Lorenz\nButterfly\n\nA deterministic system that never repeats — watch sensitivity to initial conditions trace two luminous lobes.\n\ndx/dt = σ(y − x)\ndy/dt = x(ρ − z) − y\ndz/dt = xy − βz\n⏸ Pause\n↺ Reset\n⌂ Reframe\nIntegrating · RK4\nTIME\n0.69\nPOINTS\n99\nSTATE\n7.8, -7.9, 39.5\nSpeed\n14×\nTrail\n22k\n\nσ = 10 ρ = 28 β = 8/3 · dt = 0.007 (RK4) · bounded trail buffer\n\nleft lobe\nright lobe\nDrag to orbit · Scroll to zoom · Right-drag / Shift-drag to pan","images":"attached"}
thinking
{"action":"click","x":98,"y":301}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-0x32dc0011a000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x32dc0011a000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x32dc0011a000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x32dc0011a000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"CHAOS · STRANGE ATTRACTOR\nThe Lorenz\nButterfly\n\nA deterministic system that never repeats — watch sensitivity to initial conditions trace two luminous lobes.\n\ndx/dt = σ(y − x)\ndy/dt = x(ρ − z) − y\ndz/dt = xy − βz\n▶ Resume\n↺ Reset\n⌂ Reframe\nPaused — camera still free\nTIME\n8.04\nPOINTS\n1,149\nSTATE\n-10.3, -9.5, 30.2\nSpeed\n14×\nTrail\n22k\n\nσ = 10 ρ = 28 β = 8/3 · dt = 0.007 (RK4) · bounded trail buffer\n\nleft lobe\nright lobe\nDrag to orbit · Scroll to zoom · Right-drag / Shift-drag to pan","images":"attached"}
{"action":"click","x":203,"y":301}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x32dc0011a000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x32dc0011a000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x32dc0011a000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x32dc0011a000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"CHAOS · STRANGE ATTRACTOR\nThe Lorenz\nButterfly\n\nA deterministic system that never repeats — watch sensitivity to initial conditions trace two luminous lobes.\n\ndx/dt = σ(y − x)\ndy/dt = x(ρ − z) − y\ndz/dt = xy − βz\n⏸ Pause\n↺ Reset\n⌂ Reframe\nIntegrating · RK4\nTIME\n0.29\nPOINTS\n43\nSTATE\n1.2, 2.6, 0.1\nSpeed\n14×\nTrail\n22k\n\nσ = 10 ρ = 28 β = 8/3 · dt = 0.007 (RK4) · bounded trail buffer\n\nleft lobe\nright lobe\nDrag to orbit · Scroll to zoom · Right-drag / Shift-drag to pan","images":"attached"}
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{"action":"screenshot"}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x32dc0011a000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x32dc0011a000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x32dc0011a000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x32dc0011a000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"CHAOS · STRANGE ATTRACTOR\nThe Lorenz\nButterfly\n\nA deterministic system that never repeats — watch sensitivity to initial conditions trace two luminous lobes.\n\ndx/dt = σ(y − x)\ndy/dt = x(ρ − z) − y\ndz/dt = xy − βz\n⏸ Pause\n↺ Reset\n⌂ Reframe\nIntegrating · RK4\nTIME\n11.47\nPOINTS\n1,639\nSTATE\n-5.4, -5.4, 23.4\nSpeed\n14×\nTrail\n22k\n\nσ = 10 ρ = 28 β = 8/3 · dt = 0.007 (RK4) · bounded trail buffer\n\nleft lobe\nright lobe\nDrag to orbit · Scroll to zoom · Right-drag / Shift-drag to pan","images":"attached"}
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{"path":"index.html","edits":[{"oldText":"function updateHead(){ const v=new THREE.Vector3(); toWorld(state,[v.x,v.y,v.z],0); /* placeholderSuccessfully replaced 1 block(s) in index.html.
{"command":"ls -lh index.html three.min.js && grep -c \"three.min.js\" index.html"}-rw-r--r-- 1 node node 15K Oct 15 04:08 index.html -rw-r--r-- 1 node node 590K Oct 15 04:06 three.min.js 1
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{"action":"reload"}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-0x321400172000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x321400172000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x321400172000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x321400172000]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"CHAOS · STRANGE ATTRACTOR\nThe Lorenz\nButterfly\n\nA deterministic system that never repeats — watch sensitivity to initial conditions trace two luminous lobes.\n\ndx/dt = σ(y − x)\ndy/dt = x(ρ − z) − y\ndz/dt = xy − βz\n⏸ Pause\n↺ Reset\n⌂ Reframe\nIntegrating · RK4\nTIME\n0.69\nPOINTS\n99\nSTATE\n7.8, -7.9, 39.5\nSpeed\n14×\nTrail\n22k\n\nσ = 10 ρ = 28 β = 8/3 · dt = 0.007 (RK4) · bounded trail buffer\n\nleft lobe\nright lobe\nDrag to orbit · Scroll to zoom · Right-drag / Shift-drag to pan","images":"attached"}
thinking
Built `index.html` — a self-contained 3D Lorenz attractor using the local `three.min.js` (global `THREE`, no addons/CDNs). **Implementation** - Lorenz system σ=10, ρ=28, β=8/3, initial state (0.1, 0, 0), integrated with RK4 at dt=0.007 - Luminous additive-blended, vertex-colored trajectory (cyan→violet→orange by lobe/height) with a glowing head sprite; bounded pre-allocated trail buffer (adjustable, oldest points dropped in chunks) - Custom orbit controls: drag to orbit (with inertia), wheel zoom clamped to radius 36–170 (stays outside the attractor), shift/right-drag pan, plus a Reframe button; full attractor framed initially at radius 82 - Pause/Resume, Reset (clears trail, restores initial state, and restarts), speed/trail sliders, live time/point/state readouts, and a `window.LorenzApp` inspection hook **Verified in the browser** - Trajectory growth: point count rose 99 → 1,443 → 2,955 over time, two-lobed butterfly forming - Orbit: dragged the camera; the existing trail stayed connected and visible from the new angle - Wheel zoom: camera moved closer while remaining outside the geometry - Pause: clicked Pause — point count froze at 3,585 while a subsequent drag still orbited the camera - Reset: after pausing, Reset dropped the trail to 43 points near the initial state and it regrew to 1,639; final reload renders cleanly with no console errors (only benign WebGL ReadPixels performance warnings) **Not verified** - Touch pinch-zoom (implemented but not exercised) and the trail-cap eviction path at the full 22k limit (would require a longer run)