{
  "name": "Math Explorer 3D — مستكشف المعادلات الرياضية",
  "short_name": "Math Explorer",
  "description": "تطبيق تفاعلي ثلاثي الأبعاد لاستكشاف المعادلات الرياضية المعقدة بجمالية النيون",
  "start_url": "/",
  "display": "standalone",
  "background_color": "#000000",
  "theme_color": "#000000",
  "orientation": "any",
  "lang": "ar",
  "dir": "rtl",
  "categories": ["education", "utilities", "entertainment"],
  "icons": [
    {
      "src": "/manus-storage/icon-192_31d2b548.png",
      "sizes": "192x192",
      "type": "image/png",
      "purpose": "any maskable"
    },
    {
      "src": "/manus-storage/icon-512_d4a526e8.png",
      "sizes": "512x512",
      "type": "image/png",
      "purpose": "any maskable"
    }
  ],
  "screenshots": [
    {
      "src": "https://d2xsxph8kpxj0f.cloudfront.net/310519663055210593/KsHGMXevQqvemFqLHiGSYR/og-image-DB5EepiEghAJpiEXbzmk4B.png",
      "sizes": "2752x1536",
      "type": "image/png",
      "form_factor": "wide",
      "label": "Math Explorer 3D — واجهة الاستكشاف الرئيسية"
    }
  ],
  "shortcuts": [
    {
      "name": "استكشف لورنز",
      "short_name": "لورنز",
      "description": "افتح جاذب لورنز مباشرة",
      "url": "/?eq=lorenz",
      "icons": [{ "src": "/manus-storage/icon-192_31d2b548.png", "sizes": "192x192" }]
    },
    {
      "name": "حلزون فيبوناتشي",
      "short_name": "فيبوناتشي",
      "description": "افتح حلزون فيبوناتشي الذهبي",
      "url": "/?eq=phi-hyperspirograph",
      "icons": [{ "src": "/manus-storage/icon-192_31d2b548.png", "sizes": "192x192" }]
    }
  ],
  "related_applications": [],
  "prefer_related_applications": false
}