{"id":1702,"date":"2025-02-20T18:22:44","date_gmt":"2025-02-20T18:22:44","guid":{"rendered":"https:\/\/sparkonelabs.com\/home\/?p=1702"},"modified":"2025-02-20T19:09:31","modified_gmt":"2025-02-20T19:09:31","slug":"grok-3-1-shot-webgl-test","status":"publish","type":"post","link":"https:\/\/sparkonelabs.com\/home\/2025\/02\/20\/grok-3-1-shot-webgl-test\/","title":{"rendered":"Grok 3 1 Shot WebGL Test"},"content":{"rendered":"\n<!-- Maxwell's Equations Simulation for WordPress Custom HTML Widget -->\n<!-- Load Three.js libraries from CDN -->\n<script src=\"https:\/\/unpkg.com\/three@0.152.2\/build\/three.min.js\"><\/script>\n<script src=\"https:\/\/unpkg.com\/three@0.152.2\/examples\/jsm\/controls\/OrbitControls.js\"><\/script>\n<script src=\"https:\/\/unpkg.com\/three@0.152.2\/examples\/jsm\/math\/SimplexNoise.js\"><\/script>\n\n<!-- WebGL scene container -->\n<div id=\"webgl-container\" style=\"width: 100%; height: 500px;\"><\/div>\n\n<!-- Mode selection controls -->\n<div style=\"margin-top: 10px;\">\n  <label><input type=\"radio\" name=\"mode\" value=\"standard\" checked> Standard Maxwell&#8217;s Equations<\/label>\n  <label><input type=\"radio\" name=\"mode\" value=\"quantum\"> Quantum-Resolution Maxwell&#8217;s Equations<\/label>\n<\/div>\n\n<!-- Scale slider for quantum mode -->\n<div style=\"margin-top: 10px;\">\n  <label for=\"scale\">Scale (Quantum Mode): <\/label>\n  <input type=\"range\" id=\"scale\" min=\"0.1\" max=\"10\" step=\"0.1\" value=\"1\">\n<\/div>\n\n<!-- Main application script -->\n<script>\n  (function() {\n    \/\/ Scene setup\n    const container = document.getElementById('webgl-container');\n    const scene = new THREE.Scene();\n    const camera = new THREE.PerspectiveCamera(75, container.clientWidth \/ container.clientHeight, 0.1, 1000);\n    camera.position.set(0, 0, 50);\n    const renderer = new THREE.WebGLRenderer();\n    renderer.setSize(container.clientWidth, container.clientHeight);\n    renderer.setPixelRatio(window.devicePixelRatio);\n    container.appendChild(renderer.domElement);\n\n    \/\/ Orbit controls for camera interaction\n    const controls = new THREE.OrbitControls(camera, renderer.domElement);\n    controls.enableDamping = true;\n    controls.dampingFactor = 0.05;\n\n    \/\/ Particle system setup\n    const particleCount = 10000;\n    const particles = new THREE.BufferGeometry();\n    const positions = new Float32Array(particleCount * 3);\n    const colors = new Float32Array(particleCount * 3);\n    for (let i = 0; i < particleCount; i++) {\n      positions[i * 3] = (Math.random() - 0.5) * 100;\n      positions[i * 3 + 1] = (Math.random() - 0.5) * 100;\n      positions[i * 3 + 2] = (Math.random() - 0.5) * 100;\n      colors[i * 3] = 1;\n      colors[i * 3 + 1] = 1;\n      colors[i * 3 + 2] = 1;\n    }\n    particles.setAttribute('position', new THREE.BufferAttribute(positions, 3));\n    particles.setAttribute('color', new THREE.BufferAttribute(colors, 3));\n    const particleMaterial = new THREE.PointsMaterial({ size: 0.1, vertexColors: true });\n    const particleSystem = new THREE.Points(particles, particleMaterial);\n    scene.add(particleSystem);\n\n    \/\/ Simplex noise for quantum mode\n    const simplex = new THREE.SimplexNoise();\n\n    \/\/ Mode and scale state\n    let mode = 'standard';\n    let scale = 1;\n\n    \/\/ Event listeners for interactivity\n    document.querySelectorAll('input[name=\"mode\"]').forEach(radio => {\n      radio.addEventListener('change', (e) => {\n        mode = e.target.value;\n      });\n    });\n    document.getElementById('scale').addEventListener('input', (e) => {\n      scale = parseFloat(e.target.value);\n    });\n\n    \/\/ Animation loop\n    function animate(time) {\n      requestAnimationFrame(animate);\n      controls.update();\n\n      const positions = particleSystem.geometry.attributes.position.array;\n      const colors = particleSystem.geometry.attributes.color.array;\n\n      for (let i = 0; i < particleCount; i++) {\n        const x = positions[i * 3];\n        const y = positions[i * 3 + 1];\n        const z = positions[i * 3 + 2];\n        let fieldValue;\n\n        if (mode === 'standard') {\n          \/\/ Standard mode: Smooth oscillation with sine wave\n          fieldValue = Math.sin(0.1 * (x + y + z) - 0.1 * time * 0.001);\n          positions[i * 3 + 1] = y + fieldValue * 0.01;\n          \/\/ Color gradient: Blue to yellow\n          const hue = 240 - (fieldValue + 1) * 90; \/\/ 240 (blue) to 60 (yellow)\n          const color = new THREE.Color().setHSL(hue \/ 360, 1, 0.5);\n          colors[i * 3] = color.r;\n          colors[i * 3 + 1] = color.g;\n          colors[i * 3 + 2] = color.b;\n        } else {\n          \/\/ Quantum mode: Sine wave + Perlin noise\n          const noiseValue = simplex.noise4d(x \/ scale, y \/ scale, z \/ scale, time * 0.001);\n          fieldValue = Math.sin(0.1 * (x + y + z) - 0.1 * time * 0.001) + noiseValue;\n          positions[i * 3] += (Math.random() - 0.5) * 0.1;\n          positions[i * 3 + 1] += (Math.random() - 0.5) * 0.1;\n          positions[i * 3 + 2] += (Math.random() - 0.5) * 0.1;\n          \/\/ Color gradient: Purple to red\n          const hue = 300 - (fieldValue + 1) * 150; \/\/ 300 (purple) to 0 (red)\n          const color = new THREE.Color().setHSL(hue \/ 360, 1, 0.5);\n          colors[i * 3] = color.r;\n          colors[i * 3 + 1] = color.g;\n          colors[i * 3 + 2] = color.b;\n        }\n      }\n\n      particleSystem.geometry.attributes.position.needsUpdate = true;\n      particleSystem.geometry.attributes.color.needsUpdate = true;\n      renderer.render(scene, camera);\n    }\n    animate();\n  })();\n<\/script>\n\n\n\n<p class=\"wp-block-paragraph\">Ok. Lets see if Claude can fix it in 1 shot.<\/p>\n\n\n\n<!-- Maxwell's Equations Simulation with Variable EM Properties -->\n<script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/three.js\/0.152.2\/three.min.js\"><\/script>\n<script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjs\/9.4.4\/math.js\"><\/script>\n\n<!-- Simulation container -->\n<div id=\"maxwell-container\" style=\"width: 100%; height: 600px; position: relative;\">\n    <canvas id=\"maxwell-canvas\"><\/canvas>\n    <div style=\"position: absolute; top: 10px; left: 10px; background: rgba(0,0,0,0.7); color: white; padding: 10px;\">\n        <label><input type=\"radio\" name=\"mode\" value=\"classical\" checked> Classical Maxwell<\/label>\n        <label><input type=\"radio\" name=\"mode\" value=\"variable\"> Variable EM Properties<\/label>\n        <div>\n            <label for=\"aetherDensity\">Aether Density:<\/label>\n            <input type=\"range\" id=\"aetherDensity\" min=\"0.1\" max=\"2\" step=\"0.1\" value=\"1\">\n        <\/div>\n        <div>\n            <label for=\"flowRate\">Flow Rate:<\/label>\n            <input type=\"range\" id=\"flowRate\" min=\"0\" max=\"2\" step=\"0.1\" value=\"0.5\">\n        <\/div>\n    <\/div>\n<\/div>\n\n<script>\n(function() {\n    \/\/ Constants\n    const EPSILON_0 = 8.854e-12;  \/\/ Vacuum permittivity\n    const MU_0 = 4 * Math.PI * 1e-7;  \/\/ Vacuum permeability\n    const C = 299792458;  \/\/ Speed of light\n\n    \/\/ Scene setup\n    const container = document.getElementById('maxwell-container');\n    const canvas = document.getElementById('maxwell-canvas');\n    const renderer = new THREE.WebGLRenderer({ canvas });\n    renderer.setSize(container.clientWidth, container.clientHeight);\n\n    const scene = new THREE.Scene();\n    const camera = new THREE.PerspectiveCamera(75, container.clientWidth \/ container.clientHeight, 0.1, 1000);\n    camera.position.set(0, 0, 50);\n\n    \/\/ Field visualization setup\n    const fieldResolution = 50;\n    const fieldSize = 40;\n    const fieldGeometry = new THREE.BufferGeometry();\n    const fieldPositions = new Float32Array(fieldResolution * fieldResolution * 3);\n    const fieldColors = new Float32Array(fieldResolution * fieldResolution * 3);\n    \n    \/\/ Initialize field positions in a grid\n    let idx = 0;\n    for(let i = 0; i < fieldResolution; i++) {\n        for(let j = 0; j < fieldResolution; j++) {\n            fieldPositions[idx * 3] = (i - fieldResolution\/2) * fieldSize\/fieldResolution;\n            fieldPositions[idx * 3 + 1] = (j - fieldResolution\/2) * fieldSize\/fieldResolution;\n            fieldPositions[idx * 3 + 2] = 0;\n            idx++;\n        }\n    }\n\n    fieldGeometry.setAttribute('position', new THREE.BufferAttribute(fieldPositions, 3));\n    fieldGeometry.setAttribute('color', new THREE.BufferAttribute(fieldColors, 3));\n\n    const fieldMaterial = new THREE.PointsMaterial({\n        size: 0.2,\n        vertexColors: true,\n        transparent: true,\n        opacity: 0.8\n    });\n\n    const fieldPoints = new THREE.Points(fieldGeometry, fieldMaterial);\n    scene.add(fieldPoints);\n\n    \/\/ Simulation parameters\n    let simulationMode = 'classical';\n    let aetherDensity = 1.0;\n    let flowRate = 0.5;\n\n    \/\/ Event listeners\n    document.querySelectorAll('input[name=\"mode\"]').forEach(radio => {\n        radio.addEventListener('change', (e) => {\n            simulationMode = e.target.value;\n        });\n    });\n\n    document.getElementById('aetherDensity').addEventListener('input', (e) => {\n        aetherDensity = parseFloat(e.target.value);\n    });\n\n    document.getElementById('flowRate').addEventListener('input', (e) => {\n        flowRate = parseFloat(e.target.value);\n    });\n\n    \/\/ Maxwell's equations solver functions\n    function solveClassicalMaxwell(position, time) {\n        \/\/ Simplified solution for electromagnetic wave propagation\n        const k = 2 * Math.PI \/ 10;  \/\/ Wave number\n        const omega = k * C;  \/\/ Angular frequency\n        const Ex = Math.sin(k * position.x - omega * time);\n        const By = Math.sin(k * position.x - omega * time + Math.PI\/2);\n        return { E: Ex, B: By };\n    }\n\n    function solveVariableMaxwell(position, time) {\n        \/\/ Modified Maxwell's equations with variable EM properties\n        const localEpsilon = EPSILON_0 * (1 + aetherDensity * Math.sin(position.x * 0.1));\n        const localMu = MU_0 * (1 + aetherDensity * Math.cos(position.y * 0.1));\n        const localC = 1 \/ Math.sqrt(localEpsilon * localMu);\n        \n        \/\/ Add aether flow effects\n        const flowPhase = flowRate * Math.sin(position.x * 0.05 + time * 0.001);\n        \n        const k = 2 * Math.PI \/ 10;\n        const omega = k * localC;\n        const Ex = Math.sin(k * position.x - omega * time + flowPhase);\n        const By = Math.sin(k * position.x - omega * time + flowPhase + Math.PI\/2);\n        \n        return { E: Ex, B: By };\n    }\n\n    \/\/ Animation loop\n    function animate(time) {\n        requestAnimationFrame(animate);\n\n        const positions = fieldPoints.geometry.attributes.position.array;\n        const colors = fieldPoints.geometry.attributes.color.array;\n\n        for(let i = 0; i < positions.length\/3; i++) {\n            const position = new THREE.Vector3(\n                positions[i * 3],\n                positions[i * 3 + 1],\n                positions[i * 3 + 2]\n            );\n\n            const fields = simulationMode === 'classical' \n                ? solveClassicalMaxwell(position, time)\n                : solveVariableMaxwell(position, time);\n\n            \/\/ Update point positions based on field values\n            positions[i * 3 + 2] = fields.E * 2;\n\n            \/\/ Color mapping: E-field magnitude to color\n            const intensity = (fields.E + 1) \/ 2;\n            if(simulationMode === 'classical') {\n                colors[i * 3] = intensity;  \/\/ Red\n                colors[i * 3 + 1] = 0.3;    \/\/ Green\n                colors[i * 3 + 2] = 1 - intensity;  \/\/ Blue\n            } else {\n                colors[i * 3] = intensity;  \/\/ Red\n                colors[i * 3 + 1] = 0;      \/\/ Green\n                colors[i * 3 + 2] = 1;      \/\/ Blue\n            }\n        }\n\n        fieldPoints.geometry.attributes.position.needsUpdate = true;\n        fieldPoints.geometry.attributes.color.needsUpdate = true;\n\n        renderer.render(scene, camera);\n    }\n\n    \/\/ Handle window resize\n    window.addEventListener('resize', () => {\n        const width = container.clientWidth;\n        const height = container.clientHeight;\n        camera.aspect = width \/ height;\n        camera.updateProjectionMatrix();\n        renderer.setSize(width, height);\n    });\n\n    \/\/ Start animation\n    animate(0);\n})();\n<\/script>\n\n\n\n<p class=\"wp-block-paragraph\">It renders, but how much is delta spam? It seems the higher orders of abstraction didn't make it through batch response streams. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Standard Maxwell&#8217;s Equations Quantum-Resolution Maxwell&#8217;s Equations Scale (Quantum Mode): Ok. Lets see if Claude can fix it in 1 shot. Classical Maxwell Variable EM Properties Aether Density: Flow Rate: It renders, but how much is delta spam? It seems the higher orders of abstraction didn&#8217;t make it through batch response streams.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","om_disable_all_campaigns":false,"pagelayer_contact_templates":[],"_pagelayer_content":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_hide_featured_image":false,"_jetpack_featured_image_duplicate_dismissed":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1702","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Grok 3 1 Shot WebGL Test - SparkOne() Labs Official Site<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/sparkonelabs.com\/home\/2025\/02\/20\/grok-3-1-shot-webgl-test\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Grok 3 1 Shot WebGL Test - SparkOne() Labs Official Site\" \/>\n<meta property=\"og:description\" content=\"Standard Maxwell&#8217;s Equations Quantum-Resolution Maxwell&#8217;s Equations Scale (Quantum Mode): Ok. 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