gay-tofu/alphabet-tensor.html at main · plurigrid/gay-tofu · GitHub

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<!DOCTYPE html>
<html>
<head>
    <title>3×3×3 Alphabet Tensor with Hamming Swarm</title>
    <script src="https://enkimute.github.io/ganja.js/ganja.js"></script>
    <style>
        body { margin: 0; background: #0a0a0a; color: #e0e0e0; font-family: 'SF Mono', monospace; }
        .controls {
            position: fixed; top: 10px; left: 10px; z-index: 100;
            background: rgba(0,0,0,0.8); padding: 15px; border-radius: 8px;
            border: 1px solid #333; max-width: 350px;
        }
        .legend {
            position: fixed; top: 10px; right: 10px; z-index: 100;
            background: rgba(0,0,0,0.8); padding: 15px; border-radius: 8px;
            border: 1px solid #333; max-width: 300px;
        }
        h3 { margin: 0 0 10px 0; color: #6CEC13; }
        .stat { margin: 5px 0; font-size: 12px; }
        .glyph { font-size: 24px; margin: 5px 0; }
        button {
            background: #2a2a2a; color: #e0e0e0; border: 1px solid #444;
            padding: 5px 10px; margin: 5px; border-radius: 4px; cursor: pointer;
        }
        button:hover { background: #3a3a3a; }
        canvas { width: 100%; height: 100vh; }
        .tensor-row { display: flex; gap: 5px; margin: 2px 0; }
        .cell {
            width: 20px; height: 20px; display: inline-flex; align-items: center;
            justify-content: center; font-size: 10px; border: 1px solid #333;
            border-radius: 3px;
        }
    </style>
</head>
<body>
<div class="controls">
    <h3>🎨 3×3×3 Alphabet Tensor</h3>
    <div class="stat"><b>Structure:</b> 27 positions (26 letters + 1 sigil 🌈)</div>
    <div class="stat"><b>Hamming Distance:</b> <span id="hamming-info">0</span></div>
    <div class="stat"><b>GF(3) Trit Sum:</b> <span id="trit-sum">0</span></div>
    <div class="stat"><b>Current Seed:</b> <span id="seed-display">42</span></div>

    <div style="margin-top: 10px;">
        <button onclick="changeSeed()">🎲 New Seed</button>
        <button onclick="toggleAnimation()"><span id="anim-btn">⏸ Pause</span></button>
        <button onclick="resetView()">🔄 Reset</button>
    </div>

    <div class="glyph">
        <b>Selected:</b> <span id="selected-glyph">🌈</span>
    </div>

    <div style="margin-top: 10px; font-size: 11px;">
        <b>Tensor Slices (z-axis):</b>
        <div id="tensor-viz"></div>
    </div>
</div>

<div class="legend">
    <h3>⚛️ Hamming Swarm</h3>
    <div class="stat">
        <b>Encoding:</b> Each letter → 5-bit binary<br>
        <code>A=00000, B=00001, ..., Z=11001, 🌈=11010</code>
    </div>
    <div class="stat">
        <b>Hamming Distance:</b> # of bit flips<br>
        <code>d(A,B) = 1, d(A,Z) = 4</code>
    </div>
    <div class="stat">
        <b>Swarm Connections:</b><br>
        • <span style="color: #851BE4;">Purple</span>: d=1 (neighbors)<br>
        • <span style="color: #37C0C8;">Teal</span>: d=2 (cousins)<br>
        • <span style="color: #6CEC13;">Green</span>: d=3 (distant)<br>
    </div>
    <div class="stat">
        <b>3×3×3 Mapping:</b><br>
        Position (x,y,z) → Letter → Color<br>
        <code>(0,0,0)=A, (2,2,2)=🌈</code>
    </div>
</div>

<script>
// ═══════════════════════════════════════════════════════════════════════════════
// Gay-TOFU Color System
// ═══════════════════════════════════════════════════════════════════════════════

const PHI2 = 1.3247179572447460; // Plastic constant

function hslToRgb(h, s, l) {
    const c = (1 - Math.abs(2 * l - 1)) * s;
    const hp = h / 60;
    const x = c * (1 - Math.abs((hp % 2) - 1));
    let r1 = 0, g1 = 0, b1 = 0;

    if (hp >= 0 && hp < 1) [r1, g1, b1] = [c, x, 0];
    else if (hp >= 1 && hp < 2) [r1, g1, b1] = [x, c, 0];
    else if (hp >= 2 && hp < 3) [r1, g1, b1] = [0, c, x];
    else if (hp >= 3 && hp < 4) [r1, g1, b1] = [0, x, c];
    else if (hp >= 4 && hp < 5) [r1, g1, b1] = [x, 0, c];
    else if (hp >= 5 && hp < 6) [r1, g1, b1] = [c, 0, x];

    const m = l - c / 2;
    return [r1 + m, g1 + m, b1 + m];
}

function plasticColor(n, seed) {
    const seedNorm = (seed % 1000000) / 1000000;
    const h = (((seedNorm + n / PHI2) % 1.0) * 360);
    const s = (((seedNorm + n / (PHI2 * PHI2)) % 1.0) * 0.5) + 0.5;
    return hslToRgb(h, s, 0.55);
}

function rgbToHex(r, g, b) {
    const toHex = x => Math.round(x * 255).toString(16).padStart(2, '0');
    return `#${toHex(r)}${toHex(g)}${toHex(b)}`;
}

function tritFromHue(hue) {
    const sector = Math.floor(hue / 120) % 3;
    return sector === 0 ? 1 : sector === 1 ? 0 : -1; // +1, 0, -1
}

// ═══════════════════════════════════════════════════════════════════════════════
// 3×3×3 Tensor Alphabet Mapping
// ═══════════════════════════════════════════════════════════════════════════════

const ALPHABET = 'ABCDEFGHIJKLMNOPQRSTUVWXYZ🌈'.split('');

// Map position (x,y,z) → index → letter
function positionToLetter(x, y, z) {
    const index = x + y * 3 + z * 9;
    return index < ALPHABET.length ? ALPHABET[index] : null;
}

// Map letter → position (x,y,z)
function letterToPosition(letter) {
    const index = ALPHABET.indexOf(letter);
    if (index === -1) return null;
    return {
        x: index % 3,
        y: Math.floor(index / 3) % 3,
        z: Math.floor(index / 9)
    };
}

// ═══════════════════════════════════════════════════════════════════════════════
// Hamming Distance for 5-bit encoding
// ═══════════════════════════════════════════════════════════════════════════════

function letterToBinary(letter) {
    const index = ALPHABET.indexOf(letter);
    return index.toString(2).padStart(5, '0');
}

function hammingDistance(letter1, letter2) {
    const bin1 = letterToBinary(letter1);
    const bin2 = letterToBinary(letter2);
    let distance = 0;
    for (let i = 0; i < 5; i++) {
        if (bin1[i] !== bin2[i]) distance++;
    }
    return distance;
}

// ═══════════════════════════════════════════════════════════════════════════════
// Ganja.js 3D PGA Visualization
// ═══════════════════════════════════════════════════════════════════════════════

let currentSeed = 42;
let animationRunning = true;
let selectedLetter = '🌈';

Algebra(3,0,1,()=>{
    const P = (x, y, z) => 1e123 - x*1e012 + y*1e013 + z*1e023;
    const L = (p1, p2) => p1 & p2; // Line between two points

    let camera = 0e0;

    // ═══════════════════════════════════════════════════════════════════════════
    // Render tensor visualization
    // ═══════════════════════════════════════════════════════════════════════════

    function renderTensorViz() {
        const viz = document.getElementById('tensor-viz');
        let html = '';

        for (let z = 0; z < 3; z++) {
            html += `<div style="margin: 5px 0; font-size: 10px;"><b>z=${z}</b></div>`;
            for (let y = 0; y < 3; y++) {
                html += '<div class="tensor-row">';
                for (let x = 0; x < 3; x++) {
                    const letter = positionToLetter(x, y, z);
                    if (letter) {
                        const index = ALPHABET.indexOf(letter);
                        const [r, g, b] = plasticColor(index + 1, currentSeed);
                        const color = rgbToHex(r, g, b);
                        html += `<div class="cell" style="background: ${color}; color: ${letter === '🌈' ? '#fff' : '#000'}">${letter}</div>`;
                    }
                }
                html += '</div>';
            }
        }

        viz.innerHTML = html;
    }

    // ═══════════════════════════════════════════════════════════════════════════
    // Main visualization
    // ═══════════════════════════════════════════════════════════════════════════

    document.body.appendChild(this.graph(
        () => {
            if (!animationRunning) return;

            // Rotate camera
            const time = performance.now() / 3000;
            camera.set((1 - 1e03) * (Math.cos(time) * 1.5 + Math.sin(time) * 1e13 * 1.5));

            // Calculate trit sum
            let tritSum = 0;
            ALPHABET.forEach((letter, i) => {
                const [r, g, b] = plasticColor(i + 1, currentSeed);
                const h = (((currentSeed % 1000000) / 1000000 + (i + 1) / PHI2) % 1.0) * 360;
                tritSum += tritFromHue(h);
            });

            document.getElementById('trit-sum').textContent = tritSum;
            document.getElementById('seed-display').textContent = currentSeed;

            // Calculate Hamming distance to selected letter
            const selectedPos = letterToPosition(selectedLetter);
            const hamming = hammingDistance('A', selectedLetter);
            document.getElementById('hamming-info').textContent = `d(A, ${selectedLetter}) = ${hamming}`;
            document.getElementById('selected-glyph').textContent = selectedLetter;

            // Build visualization elements
            const elements = [];

            // Draw all 27 points with colors
            ALPHABET.forEach((letter, i) => {
                const pos = letterToPosition(letter);
                if (!pos) return;

                const [r, g, b] = plasticColor(i + 1, currentSeed);
                const color = parseInt(rgbToHex(r, g, b).slice(1), 16);

                // Scale and center positions
                const scale = 0.8;
                const point = P(
                    (pos.x - 1) * scale,
                    (pos.y - 1) * scale,
                    (pos.z - 1) * scale
                );

                elements.push(color, point, letter);
            });

            // Draw Hamming swarm connections from selected letter
            const selectedPos = letterToPosition(selectedLetter);
            if (selectedPos) {
                ALPHABET.forEach((letter, i) => {
                    const pos = letterToPosition(letter);
                    if (!pos || letter === selectedLetter) return;

                    const hamming = hammingDistance(selectedLetter, letter);

                    // Only draw connections up to distance 3
                    if (hamming <= 3) {
                        const scale = 0.8;
                        const p1 = P(
                            (selectedPos.x - 1) * scale,
                            (selectedPos.y - 1) * scale,
                            (selectedPos.z - 1) * scale
                        );
                        const p2 = P(
                            (pos.x - 1) * scale,
                            (pos.y - 1) * scale,
                            (pos.z - 1) * scale
                        );

                        // Color by Hamming distance
                        const lineColor = hamming === 1 ? 0x851BE4 : // Purple
                                         hamming === 2 ? 0x37C0C8 : // Teal
                                         0x6CEC13; // Green

                        elements.push(lineColor, L(p1, p2));
                    }
                });
            }

            return [`3×3×3 Alphabet Tensor [seed=${currentSeed}]`].concat(elements);
        },
        {
            animate: true,
            grid: 1,
            labels: 1,
            camera,
            pointRadius: 0.08,
            lineWidth: 2
        }
    ));

    renderTensorViz();
});

// ═══════════════════════════════════════════════════════════════════════════════
// UI Controls
// ═══════════════════════════════════════════════════════════════════════════════

function changeSeed() {
    currentSeed = Math.floor(Math.random() * 1000000);
    const viz = document.getElementById('tensor-viz');
    let html = '';

    for (let z = 0; z < 3; z++) {
        html += `<div style="margin: 5px 0; font-size: 10px;"><b>z=${z}</b></div>`;
        for (let y = 0; y < 3; y++) {
            html += '<div class="tensor-row">';
            for (let x = 0; x < 3; x++) {
                const letter = positionToLetter(x, y, z);
                if (letter) {
                    const index = ALPHABET.indexOf(letter);
                    const [r, g, b] = plasticColor(index + 1, currentSeed);
                    const color = rgbToHex(r, g, b);
                    html += `<div class="cell" style="background: ${color}; color: ${letter === '🌈' ? '#fff' : '#000'}; cursor: pointer;" onclick="selectLetter('${letter}')">${letter}</div>`;
                }
            }
            html += '</div>';
        }
    }

    viz.innerHTML = html;
}

function toggleAnimation() {
    animationRunning = !animationRunning;
    document.getElementById('anim-btn').textContent = animationRunning ? '⏸ Pause' : '▶️ Play';
}

function resetView() {
    currentSeed = 42;
    selectedLetter = '🌈';
    changeSeed();
}

function selectLetter(letter) {
    selectedLetter = letter;
}

// Make functions global
window.changeSeed = changeSeed;
window.toggleAnimation = toggleAnimation;
window.resetView = resetView;
window.selectLetter = selectLetter;
</script>
</body>
</html>