{"product_id":"f4-coxeter-projection","title":"F4: Coxeter Projection","description":"\u003cp class=\"font-claude-response-body break-words whitespace-normal leading-[1.7]\"\u003eF4 is the most unusual of the four exceptional root systems. Unlike E8, E7, and E6, it is non-simply-laced - meaning its 48 roots come in two distinct lengths, 24 long and 24 short, with a ratio of √2 between them. This asymmetry makes F4 structurally richer than its root count suggests, and gives it a character quite different from the other exceptional systems.\u003c\/p\u003e\n\u003cp class=\"font-claude-response-body break-words whitespace-normal leading-[1.7]\"\u003eIn the Coxeter plane projection, the 48 roots arrange into 4 concentric rings of 12, with 12-fold rotational symmetry throughout. All 1,128 possible connections between roots are shown - a choice that makes sense for F4, where the nearest-neighbour edge set alone gives an unusually sparse result owing to the mixed root lengths. The full connectivity reveals the geometry more completely.\u003c\/p\u003e","brand":"Axisophy","offers":[{"title":"Large (50 × 70 cm | 20 × 28 in)","offer_id":45891940188321,"sku":"APW-F4C-P-500x700-AM-WHT","price":50.0,"currency_code":"GBP","in_stock":true},{"title":"XLarge (70 × 100 cm | 28 × 40 in)","offer_id":45891940221089,"sku":"APW-F4C-P-700x1000-AM-WHT","price":80.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0483\/1546\/5889\/files\/AxisophyF4-Coxeter-mockup-1.jpg?v=1775495920","url":"https:\/\/axisophy.com\/products\/f4-coxeter-projection","provider":"Axisophy","version":"1.0","type":"link"}