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Webe Tori Model 01-05 -

import createTorusApp, Card, warp from '@webe/tori'; import './styles.css';

data.forEach((item, i) => // θ = i * 90° (π/2 rad), φ = 0 for all cards const theta = (i * Math.PI) / 2; const phi = 0;

| Test | #Elements | Avg. FPS (GPU) | Avg. CPU % | Memory (MB) | Comments | |------|-----------|----------------|------------|-------------|----------| | Simple card carousel (12 cards) | 12 | | 2 % | 38 | Baseline – negligible load. | | Large dashboard (4 200 tiles, each with sparkline) | 4 200 | 61 | 8 % | 212 | GPU‑solver kept frame time < 16 ms. | | AR overlay (180 objects, depth‑sorting) | 180 | 78 | 5 % | 65 | GPU‑based depth‑sort handled 60 Hz head‑tracking. | | Accessibility‑only mode (CPU fallback) | 1 200 | 32 | 14 % | 96 | Acceptable for low‑end devices; auto‑fallback triggered. | webe tori model 01-05

<!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. |

Keep a dual‑bundle during transition ( @webe/tori/legacy ) and gradually replace legacy components. The runtime detects mixed‑mode usage and logs helpful warnings. 7. Performance Benchmarks All tests were run on a MacBook Pro M2 , Chrome 124, with the Chrome DevTools tori‑panel active. | | Large dashboard (4 200 tiles, each

| 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. |

The GPU‑backed constraint solver is the single biggest win; without it, similar workloads would drop below 20 FPS on the same hardware. 8. Ecosystem & Community | Resource | Link (hypothetical) | What You’ll Find | |----------|--------------------|------------------| | Official Docs | https://docs.webe.io/tori/01-05 | Full API reference, tutorials, migration guides. | | WebE Marketplace | https://marketplace.webe.io/tori | &lt;

// 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 , );