Function createMobius

geometry.js:201–229

(i, count)

}

function createMobius(i, count) {
    // Möbius strip parameters
    const radius = 25;       // Major radius of the strip
    const width = 10;        // Width of the strip
    
    // Distribute points evenly along the length of the Möbius strip
    // and across its width
    const lengthSteps = Math.sqrt(count);
    const widthSteps = count / lengthSteps;
    
    // Calculate position along length and width of strip
    const lengthIndex = i % lengthSteps;
    const widthIndex = Math.floor(i / lengthSteps) % widthSteps;
    
    // Normalize to 0-1 range
    const u = lengthIndex / lengthSteps;        // Position around the strip (0 to 1)
    const v = (widthIndex / widthSteps) - 0.5;  // Position across width (-0.5 to 0.5)
    
    // Parametric equations for Möbius strip
    const theta = u * Math.PI * 2;  // Full loop around
    
    // Calculate the Möbius strip coordinates
    // This creates a half-twist in the strip
    const x = (radius + width * v * Math.cos(theta / 2)) * Math.cos(theta);
    const y = (radius + width * v * Math.cos(theta / 2)) * Math.sin(theta);
    const z = width * v * Math.sin(theta / 2);
    
    return new THREE.Vector3(x, y, z);
}

function createSupernova(i, count) {
    // Supernova parameters