Lorenz attractor · gpt-6.1-terra
Output generated Cost / run $0.0809 Runtime 91.7s
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 · 30 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
**Planning a build and inspection** I'm thinking about the next steps for a project. First, I need to build components and then inspect the files associated with them. It's crucial to ensure everything is set up correctly before proceeding to the next phase. I'll make a checklist for the building process and another for the inspection to help keep things organized. Let's get started on this to ensure everything goes smoothly!
{"command":"ls -lah","timeout":10}{"command":"pwd","timeout":10}total 604K drwx------ 3 node node 4.0K Oct 26 23:43 . drwxrwxrwt 8 root root 4.0K Oct 26 23:43 .. drwxr-xr-x 3 node node 4.0K Oct 26 23:43 .home -rw-r--r-- 1 node node 590K Oct 26 23:43 three.min.js
/tmp/job-msVSDt
thinking
**Designing a scientific dashboard** I need to create a polished dark scientific dashboard with a logo at the top, status updates, and a main canvas featuring labels and side panels. The visual attractor should start the trajectory near the beginning but reveal quickly. I’ll use 18 steps per frame for smoother visualization, ensuring the simulation runs appropriately. I also need to manage memory with segments stored in a Float32Array while ensuring visual continuity without connecting the oldest and newest segments. It looks like I can handle 36,000 segments easily!**Creating vibrant line visuals** I want to enhance line colors based on their z-index or position. To achieve a glow effect, I might duplicate the material and make it transparent and additive. Since I can't change the line thickness in hardware, I could use LineSegments alongside bright colors and CSS for aesthetics. I’ll consider implementing shaders for glowing points and use a 1px stroke for layers, applying a blur filter on a duplicate canvas. Additionally, I'll focus on utilizing Points with additive blending and ensure that all segments have densely rendered points for that glowing path effect.**Designing shader colors** I’m thinking about separating core lines and points, using a shader that incorporates vertexColors and gl_PointCoord for depth. I want to experiment with colors ranging from cyan to blue, and purple to orange. It seems like I might need to enhance the saturation for a stronger visual impact in the design screenshot— especially in those blues, cyans, and pinks. Making those colors pop could really elevate the overall aesthetic!**Planning UI for 3D Simulation** I’m thinking about the camera angle and whether I need rings or a grid. A 3D grid at a horizontal plane could work well, with the world set at y=-25. I should also ensure there’s a floor with subtle grid lines and axes. The UI needs to function without a network and be mobile responsive with buttons. I should include stats for time, samples, and x/y/z positions. Browser tests will be important too. Let’s get started!
index.html (15591 bytes)Successfully wrote to index.html
thinking
{"action":"reload","x":0,"y":0,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
[Browser image supplied to model]
{"console":["error: THREE.WebGLProgram: shader error: 0 35715 false gl.getProgramInfoLog Vertex shader is not compiled.\n\u0000 THREE.WebGLShader: gl.getShaderInfoLog() vertex\nERROR: 0:60: 'color' : redefinition\n\u00001: #version 300 es\n2: #define attribute in\n3: #define varying out\n4: #define texture2D texture\n5: precision highp float;\n6: precision highp int;\n7: #define HIGH_PRECISION\n8: #define SHADER_NAME ShaderMaterial\n9: #define VERTEX_TEXTURES\n10: #define GAMMA_FACTOR 2\n11: #define MAX_BONES 0\n12: #define USE_COLOR\n13: #define BONE_TEXTURE\n14: uniform mat4 modelMatrix;\n15: uniform mat4 modelViewMatrix;\n16: uniform mat4 projectionMatrix;\n17: uniform mat4 viewMatrix;\n18: uniform mat3 normalMatrix;\n19: uniform vec3 cameraPosition;\n20: uniform bool isOrthographic;\n21: #ifdef USE_INSTANCING\n22: \tattribute mat4 instanceMatrix;\n23: #endif\n24: #ifdef USE_INSTANCING_COLOR\n25: \tattribute vec3 instanceColor;\n26: #endif\n27: attribute vec3 position;\n28: attribute vec3 normal;\n29: attribute vec2 uv;\n30: #ifdef USE_T","warning: WebGL: INVALID_OPERATION: useProgram: program not valid","warning: [.WebGL-0x26c40017c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: WebGL: INVALID_OPERATION: useProgram: program not valid","warning: [.WebGL-0x26c40017c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: WebGL: INVALID_OPERATION: useProgram: program not valid","warning: [.WebGL-0x26c40017c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: WebGL: INVALID_OPERATION: useProgram: program not valid","warning: [.WebGL-0x26c40017c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)","warning: WebGL: INVALID_OPERATION: useProgram: program not valid","warning: WebGL: INVALID_OPERATION: useProgram: program not valid","warning: WebGL: INVALID_OPERATION: useProgram: program not valid","warning: WebGL: INVALID_OPERATION: useProgram: program not valid","warning: WebGL: INVALID_OPERATION: useProgram: program not valid","warning: WebGL: INVALID_OPERATION: useProgram: program not valid","warning: WebGL: INVALID_OPERATION: useProgram: program not valid","warning: WebGL: INVALID_OPERATION: useProgram: program not valid"],"dom":"STRANGE ATTRACTORS\nAN INTERACTIVE FIELD STUDY\nEXPERIMENT 001 / 003\nSYSTEM ACTIVE\nTHE BEAUTY OF DETERMINISTIC CHAOS\nThe Lorenz attractor.\n\nA never-repeating path through a remarkably ordered chaos.\n\nEDWARD LORENZ, 1963\nTHREE-DIMENSIONAL DYNAMICAL SYSTEM\nPHASE SPACE / X · Y · Z\nFIG. 01\nTRAJECTORY / HEIGHT\nLOW\nHIGH\nDRAG to orbit · SCROLL to zoom\nSYSTEM PARAMETERS\n01\nσ Sigma\n10.000\nρ Rho\n28.000\nβ Beta\n2.667\nLIVE STATE\nLIVE\nX POSITION\n-8.929\nY POSITION\n-7.823\nZ POSITION\n28.904\nTIME / t\n2.51\nA SENSITIVE SYSTEM\n02\nSimple equations, infinite complexity. Small changes in the starting point can lead to entirely different paths.\nⅡ\nPause\n↺\nReset\nINTEGRATION RK4 / STEP 0.005 / SAMPLES 502\nLORENZ SYSTEM / A STUDY IN CHAOS\nORDER WITHIN THE UNPREDICTABLE","images":"attached"}
thinking
**Fixing shader attributes** I'm thinking about fixing the shader by removing the attribute vec3 color. This seems like a straightforward step, but I want to ensure I check everything afterward to verify it's working correctly. It’s important to be thorough when making these adjustments, so I’ll take my time with it. Let’s see how it goes once I implement that change!
{"path":"index.html","edits":[{"oldText":"vertexShader:'attribute vec3 color; varying vec3 vColor; uniform float pixelRatio;","newText":"verSuccessfully replaced 1 block(s) in index.html.
{"action":"reload","x":0,"y":0,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: [.WebGL-0x237c0017c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x237c0017c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x237c0017c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x237c0017c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"STRANGE ATTRACTORS\nAN INTERACTIVE FIELD STUDY\nEXPERIMENT 001 / 003\nSYSTEM ACTIVE\nTHE BEAUTY OF DETERMINISTIC CHAOS\nThe Lorenz attractor.\n\nA never-repeating path through a remarkably ordered chaos.\n\nEDWARD LORENZ, 1963\nTHREE-DIMENSIONAL DYNAMICAL SYSTEM\nPHASE SPACE / X · Y · Z\nFIG. 01\nTRAJECTORY / HEIGHT\nLOW\nHIGH\nDRAG to orbit · SCROLL to zoom\nSYSTEM PARAMETERS\n01\nσ Sigma\n10.000\nρ Rho\n28.000\nβ Beta\n2.667\nLIVE STATE\nLIVE\nX POSITION\n-8.463\nY POSITION\n-7.274\nZ POSITION\n28.464\nTIME / t\n2.55\nA SENSITIVE SYSTEM\n02\nSimple equations, infinite complexity. Small changes in the starting point can lead to entirely different paths.\nⅡ\nPause\n↺\nReset\nINTEGRATION RK4 / STEP 0.005 / SAMPLES 510\nLORENZ SYSTEM / A STUDY IN CHAOS\nORDER WITHIN THE UNPREDICTABLE","images":"attached"}
thinking
{"action":"screenshot","x":0,"y":0,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: [.WebGL-0x237c0017c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x237c0017c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x237c0017c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x237c0017c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"STRANGE ATTRACTORS\nAN INTERACTIVE FIELD STUDY\nEXPERIMENT 001 / 003\nSYSTEM ACTIVE\nTHE BEAUTY OF DETERMINISTIC CHAOS\nThe Lorenz attractor.\n\nA never-repeating path through a remarkably ordered chaos.\n\nEDWARD LORENZ, 1963\nTHREE-DIMENSIONAL DYNAMICAL SYSTEM\nPHASE SPACE / X · Y · Z\nFIG. 01\nTRAJECTORY / HEIGHT\nLOW\nHIGH\nDRAG to orbit · SCROLL to zoom\nSYSTEM PARAMETERS\n01\nσ Sigma\n10.000\nρ Rho\n28.000\nβ Beta\n2.667\nLIVE STATE\nLIVE\nX POSITION\n8.983\nY POSITION\n13.283\nZ POSITION\n20.971\nTIME / t\n24.59\nA SENSITIVE SYSTEM\n02\nSimple equations, infinite complexity. Small changes in the starting point can lead to entirely different paths.\nⅡ\nPause\n↺\nReset\nINTEGRATION RK4 / STEP 0.005 / SAMPLES 4,919\nLORENZ SYSTEM / A STUDY IN CHAOS\nORDER WITHIN THE UNPREDICTABLE","images":"attached"}
thinking
{"action":"click","x":102,"y":773,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
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{"console":["warning: [.WebGL-0x237c0017c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x237c0017c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x237c0017c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x237c0017c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"STRANGE ATTRACTORS\nAN INTERACTIVE FIELD STUDY\nEXPERIMENT 001 / 003\nSYSTEM PAUSED\nTHE BEAUTY OF DETERMINISTIC CHAOS\nThe Lorenz attractor.\n\nA never-repeating path through a remarkably ordered chaos.\n\nEDWARD LORENZ, 1963\nTHREE-DIMENSIONAL DYNAMICAL SYSTEM\nPHASE SPACE / X · Y · Z\nFIG. 01\nTRAJECTORY / HEIGHT\nLOW\nHIGH\nDRAG to orbit · SCROLL to zoom\nSYSTEM PARAMETERS\n01\nσ Sigma\n10.000\nρ Rho\n28.000\nβ Beta\n2.667\nLIVE STATE\nPAUSED\nX POSITION\n-11.887\nY POSITION\n-8.011\nZ POSITION\n35.225\nTIME / t\n54.15\nA SENSITIVE SYSTEM\n02\nSimple equations, infinite complexity. Small changes in the starting point can lead to entirely different paths.\n▶\nResume\n↺\nReset\nINTEGRATION RK4 / STEP 0.005 / SAMPLES 10,829\nLORENZ SYSTEM / A STUDY IN CHAOS\nORDER WITHIN THE UNPREDICTABLE","images":"attached"}
thinking
{"action":"drag","x":477,"y":443,"toX":640,"toY":463,"text":"","delta":0}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: [.WebGL-0x237c0017c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x237c0017c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x237c0017c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x237c0017c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"STRANGE ATTRACTORS\nAN INTERACTIVE FIELD STUDY\nEXPERIMENT 001 / 003\nSYSTEM PAUSED\nTHE BEAUTY OF DETERMINISTIC CHAOS\nThe Lorenz attractor.\n\nA never-repeating path through a remarkably ordered chaos.\n\nEDWARD LORENZ, 1963\nTHREE-DIMENSIONAL DYNAMICAL SYSTEM\nPHASE SPACE / X · Y · Z\nFIG. 01\nTRAJECTORY / HEIGHT\nLOW\nHIGH\nDRAG to orbit · SCROLL to zoom\nSYSTEM PARAMETERS\n01\nσ Sigma\n10.000\nρ Rho\n28.000\nβ Beta\n2.667\nLIVE STATE\nPAUSED\nX POSITION\n-11.887\nY POSITION\n-8.011\nZ POSITION\n35.225\nTIME / t\n54.15\nA SENSITIVE SYSTEM\n02\nSimple equations, infinite complexity. Small changes in the starting point can lead to entirely different paths.\n▶\nResume\n↺\nReset\nINTEGRATION RK4 / STEP 0.005 / SAMPLES 10,829\nLORENZ SYSTEM / A STUDY IN CHAOS\nORDER WITHIN THE UNPREDICTABLE","images":"attached"}
thinking
**Testing Camera Reset** I’m considering whether I could allow checking the initial settings while paused, but I’m thinking it might not be necessary. I want to test the reset feature when paused to see how it affects growth. Also, I should make sure to set the initial camera properly. It feels like a bit of a balancing act, but I believe it’s worth investigating! Let's keep exploring!
{"path":"index.html","edits":[{"oldText":"let radius=115, azimuth=0.12, elevation=0.18;","newText":"let radius=115, azimuth=-1.02, elevationSuccessfully replaced 2 block(s) in index.html.
thinking
**Testing reset handler functionality** I'm working on the reset handler, which utilizes an accumulator defined later on. I want to ensure it works properly post-initialization. So, I'll test things like reload and zoom reset to see if they function as expected. It's a bit technical, but I think this structure makes sense. I'll keep an eye out for any unexpected behavior as I go through the tests to make sure everything runs smoothly!
{"action":"reload","x":0,"y":0,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +1ms
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{"console":["warning: [.WebGL-0x25540013c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x25540013c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x25540013c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x25540013c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"STRANGE ATTRACTORS\nAN INTERACTIVE FIELD STUDY\nEXPERIMENT 001 / 003\nSYSTEM ACTIVE\nTHE BEAUTY OF DETERMINISTIC CHAOS\nThe Lorenz attractor.\n\nA never-repeating path through a remarkably ordered chaos.\n\nEDWARD LORENZ, 1963\nTHREE-DIMENSIONAL DYNAMICAL SYSTEM\nPHASE SPACE / X · Y · Z\nFIG. 01\nTRAJECTORY / HEIGHT\nLOW\nHIGH\nDRAG to orbit · SCROLL to zoom\nSYSTEM PARAMETERS\n01\nσ Sigma\n10.000\nρ Rho\n28.000\nβ Beta\n2.667\nLIVE STATE\nLIVE\nX POSITION\n-9.627\nY POSITION\n-9.957\nZ POSITION\n28.010\nTIME / t\n3.00\nA SENSITIVE SYSTEM\n02\nSimple equations, infinite complexity. Small changes in the starting point can lead to entirely different paths.\nⅡ\nPause\n↺\nReset\nINTEGRATION RK4 / STEP 0.005 / SAMPLES 600\nLORENZ SYSTEM / A STUDY IN CHAOS\nORDER WITHIN THE UNPREDICTABLE","images":"attached"}
thinking
{"action":"scroll","x":480,"y":440,"toX":0,"toY":0,"text":"","delta":-450}Frame 1, +0ms
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{"console":["warning: [.WebGL-0x25540013c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x25540013c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x25540013c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x25540013c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"STRANGE ATTRACTORS\nAN INTERACTIVE FIELD STUDY\nEXPERIMENT 001 / 003\nSYSTEM ACTIVE\nTHE BEAUTY OF DETERMINISTIC CHAOS\nThe Lorenz attractor.\n\nA never-repeating path through a remarkably ordered chaos.\n\nEDWARD LORENZ, 1963\nTHREE-DIMENSIONAL DYNAMICAL SYSTEM\nPHASE SPACE / X · Y · Z\nFIG. 01\nTRAJECTORY / HEIGHT\nLOW\nHIGH\nDRAG to orbit · SCROLL to zoom\nSYSTEM PARAMETERS\n01\nσ Sigma\n10.000\nρ Rho\n28.000\nβ Beta\n2.667\nLIVE STATE\nLIVE\nX POSITION\n-12.156\nY POSITION\n-18.287\nZ POSITION\n23.503\nTIME / t\n36.75\nA SENSITIVE SYSTEM\n02\nSimple equations, infinite complexity. Small changes in the starting point can lead to entirely different paths.\nⅡ\nPause\n↺\nReset\nINTEGRATION RK4 / STEP 0.005 / SAMPLES 7,349\nLORENZ SYSTEM / A STUDY IN CHAOS\nORDER WITHIN THE UNPREDICTABLE","images":"attached"}
thinking
{"action":"click","x":107,"y":772,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
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{"console":["warning: [.WebGL-0x25540013c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x25540013c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x25540013c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x25540013c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"STRANGE ATTRACTORS\nAN INTERACTIVE FIELD STUDY\nEXPERIMENT 001 / 003\nSYSTEM PAUSED\nTHE BEAUTY OF DETERMINISTIC CHAOS\nThe Lorenz attractor.\n\nA never-repeating path through a remarkably ordered chaos.\n\nEDWARD LORENZ, 1963\nTHREE-DIMENSIONAL DYNAMICAL SYSTEM\nPHASE SPACE / X · Y · Z\nFIG. 01\nTRAJECTORY / HEIGHT\nLOW\nHIGH\nDRAG to orbit · SCROLL to zoom\nSYSTEM PARAMETERS\n01\nσ Sigma\n10.000\nρ Rho\n28.000\nβ Beta\n2.667\nLIVE STATE\nPAUSED\nX POSITION\n15.345\nY POSITION\n22.210\nZ POSITION\n28.507\nTIME / t\n53.40\nA SENSITIVE SYSTEM\n02\nSimple equations, infinite complexity. Small changes in the starting point can lead to entirely different paths.\n▶\nResume\n↺\nReset\nINTEGRATION RK4 / STEP 0.005 / SAMPLES 10,679\nLORENZ SYSTEM / A STUDY IN CHAOS\nORDER WITHIN THE UNPREDICTABLE","images":"attached"}
{"action":"click","x":212,"y":770,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: [.WebGL-0x25540013c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x25540013c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x25540013c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x25540013c800]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"STRANGE ATTRACTORS\nAN INTERACTIVE FIELD STUDY\nEXPERIMENT 001 / 003\nSYSTEM ACTIVE\nTHE BEAUTY OF DETERMINISTIC CHAOS\nThe Lorenz attractor.\n\nA never-repeating path through a remarkably ordered chaos.\n\nEDWARD LORENZ, 1963\nTHREE-DIMENSIONAL DYNAMICAL SYSTEM\nPHASE SPACE / X · Y · Z\nFIG. 01\nTRAJECTORY / HEIGHT\nLOW\nHIGH\nDRAG to orbit · SCROLL to zoom\nSYSTEM PARAMETERS\n01\nσ Sigma\n10.000\nρ Rho\n28.000\nβ Beta\n2.667\nLIVE STATE\nLIVE\nX POSITION\n-9.526\nY POSITION\n-9.399\nZ POSITION\n28.450\nTIME / t\n1.79\nA SENSITIVE SYSTEM\n02\nSimple equations, infinite complexity. Small changes in the starting point can lead to entirely different paths.\nⅡ\nPause\n↺\nReset\nINTEGRATION RK4 / STEP 0.005 / SAMPLES 359\nLORENZ SYSTEM / A STUDY IN CHAOS\nORDER WITHIN THE UNPREDICTABLE","images":"attached"}
Created `index.html` with the interactive Lorenz attractor. Checked trajectory growth, orbiting while paused, zooming, and reset/restart. The console showed only WebGL performance warnings. Long-duration buffer wraparound and mobile interaction remain unverified.