# 1️⃣ Install the core package (size ~ 62 KB gzipped) npm i @webe/tori@01.05.0
By [Your Name] – 16 April 2026 TL;DR – The WebE Tori Model 01‑05 is the latest iteration of the “torus‑based responsive framework” that blends the mathematical elegance of a 3‑D torus with modern web‑development practices. It delivers fluid, high‑performance UI components, a physics‑aware layout engine, and a plug‑and‑play ecosystem for designers, front‑end engineers, and data‑visualisation specialists. In the following long‑form post we’ll unpack the theory, architecture, key features, real‑world use‑cases, migration path from earlier versions, and the roadmap ahead. 1. What Is the WebE Tori Model? The WebE Tori Model (short for Web‑Enabled Toroidal Interface ) started as an academic experiment in 2022 to explore whether the topological properties of a torus could solve two persistent UI problems:
| Problem | Classical Approach | Torus‑Based Insight | |---------|-------------------|---------------------| | | Fixed‑size viewports, scroll‑jacking, “infinite scroll” hacks | The torus’s periodic boundary conditions enable a seamless wrap‑around of content without duplication. | | Responsive component scaling | Media‑queries, break‑points, CSS grid/flex hacks | By mapping UI elements onto a 2‑D parametric surface (θ, φ) the framework computes continuous scaling based on user‑device coordinates. | webe tori model 01-05
// 1️⃣ Create the root app const app = createTorusApp( // Projection: equirectangular (default) projection: 'equirect', // Optional global theme tokens theme: colors: primary: '#0066ff', surface: '#fafafa' , curvature: 0.8, // 0 = flat, 1 = perfect torus , );
// 4️⃣ Mount to the DOM app.mount('#root'); # 1️⃣ Install the core package (size ~
data.forEach((item, i) => // θ = i * 90° (π/2 rad), φ = 0 for all cards const theta = (i * Math.PI) / 2; const phi = 0;
<!DOCTYPE html> <html lang="en"> <head> <meta charset="UTF-8"> <title>WebE Tori 01‑05 Demo</title> <link rel="stylesheet" href="styles.css"> </head> <body> <div id="root"></div> <script type="module" src="/src/index.ts"></script> </body> </html> A set of cards orbit a virtual torus, seamlessly wrapping when you resize the browser or rotate a mobile device. 5. Real‑World Use‑Cases | Domain | Example Project | How 01‑05 Helps | |--------|----------------|-----------------| | Financial Dashboards | QuantPulse – a live‑updating market‑data wall with 5 000+ tickers. | Lazy‑load slices keep the DOM light; GPU‑solver guarantees < 16 ms frame times even when each ticker animates a sparkline. | | E‑Commerce | ShopLoop – infinite‑loop product carousel that never “ends”. | Torus‑warp replaces the usual duplication trick, delivering a true infinite loop with a single set of nodes. | | AR/VR Interfaces | HoloNav – a mixed‑reality navigation UI that surrounds the user. | The parametric engine can output stereoscopic projection matrices , and the curvature token maps directly to headset FOV. | | Education & Simulations | MathLab – interactive visualisations of 3‑D manifolds. | The torus core is the geometry; students can drag points on the surface and watch the layout recompute instantly. | | Accessibility‑First Portals | InclusiveNews – a news portal where keyboard navigation wraps around sections. | A‑Tori gives screen readers a logical “next” and “previous” order that respects the torus topology. | 6. Migration Path from Earlier Versions | From → To | Breaking Changes | Migration Aids | |-----------|------------------|----------------| | 01‑03 → 01‑04 | warp() now requires an explicit axis argument; old signature deprecated. | npx webe-tori codemod warp-rename auto‑updates call‑sites. | | 01‑04 → 01‑05 | The theme.curvature token moved from global to layout scope; default changed from 0.6 to 0.8 . | tori‑config migrate --from 01.04 --to 01.05 writes a diff you can review. | | Any ≤01‑02 → 01‑05 | The PLE API ( addNode , removeNode ) is now component‑first ; you must wrap raw DOM nodes in ToriComponent . | The CLI prints a migration checklist and scaffolds wrapper classes. | removeNode ) is now component‑first
// 3️⃣ Add a perpetual warp animation (rotate around θ) warp( axis: 'θ', speed: 0.25, // radians per second easing: 'linear', );