{"product_id":"ulam-spiral-651","title":"Ulam Spiral 651","description":"\u003cp class=\"font-claude-response-body break-words whitespace-normal leading-[1.7]\"\u003eIn 1963, the Polish mathematician Stanisław Ulam sketched numbers in a square spiral during a tedious lecture and noticed something unexpected: the prime numbers tended to fall along diagonal lines. The pattern wasn't a fluke. The Ulam spiral has been studied ever since as one of the strangest visual phenomena in number theory — a hint of structure inside a sequence usually treated as essentially random.\u003c\/p\u003e\n\u003cp class=\"font-claude-response-body break-words whitespace-normal leading-[1.7]\"\u003eUlam Spiral 651 maps every integer from 1 to 423,801 across a square grid, with the 35,684 primes marked as black dots. The spiral begins at the centre with 1 and expands outward in the classic right-up-left-down rotation. At this density — roughly 8.4% of the grid is prime — the famous diagonal alignments are less visible as discrete lines and more present as a kind of grain across the surface, with the distribution thinning gradually toward the corners as primes become rarer at higher numbers.\u003c\/p\u003e\n\u003cp class=\"font-claude-response-body break-words whitespace-normal leading-[1.7]\"\u003eThe result is a print that reads at two distances. Close up, individual diagonals and clusters reveal themselves. From across the room, the whole image becomes a textured field — a portrait of the primes as a landscape rather than a list.\u003c\/p\u003e","brand":"Axisophy","offers":[{"title":"Large (70 × 70 cm | 28 × 28 in)","offer_id":46165454454945,"sku":"AXS-UL651-S-700x700-AM-WHT","price":70.0,"currency_code":"GBP","in_stock":true},{"title":"XLarge (100 × 100 cm | 40 × 40 in)","offer_id":46165454487713,"sku":"AXS-UL651-S-1000x1000-AM-WHT","price":120.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0483\/1546\/5889\/files\/Axisophy-Ulam-651-crop-mockup.jpg?v=1777642803","url":"https:\/\/axisophy.com\/products\/ulam-spiral-651","provider":"Axisophy","version":"1.0","type":"link"}