{"product_id":"fermats-spiral","title":"Fermat’s Spiral","description":"\u003cp\u003eFermat’s Spiral — featured in our Signature collection — transforms a simple mathematical principle into a composition of balance, growth, and natural symmetry. This print traces two intertwined spiral branches, each winding around the centre in perfect opposition and completing twenty full rotations. The construction ensures every turn is spaced evenly, evoking forms seen in nature from sunflower heads to galaxy arms.\u003c\/p\u003e\n\u003cp\u003eMathematically, the distance from the centre increases in direct proportion to the angle swept around — resulting in a spiral where each arm unwraps at a constant rate. One branch is plotted forwards, starting at zero degrees, while the other is mirrored across the centre by beginning at one hundred eighty degrees. Both are scaled so their tightly woven arcs meet a fixed outer radius. Coordinates for the spiral branches are found by multiplying the scaling factor, the square root of the swept angle, and then using both the cosine and sine of that angle to assign every point’s horizontal and vertical placement.\u003c\/p\u003e\n\u003cp\u003eThe remarkable aspect of Fermat’s spiral is how it encodes optimal packing and distribution. In botany, similar spirals allow seeds or leaves to fill space efficiently, while in mathematics, the same pattern surfaces in areas from polar graphing to visualisations of irrational numbers. The layout ensures no two points overlap — demonstrating an arrangement that is as logical as it is aesthetically pleasing.\u003c\/p\u003e\n\u003cp\u003eEach museum-quality print is rendered in crisp detail on 250gsm archival matte paper. The smooth, durable finish beautifully complements the sweeping, precise lines of the spiral, offering a timeless and contemplative celebration of mathematical artistry.\u003c\/p\u003e","brand":"Axisophy","offers":[{"title":"Large (50 × 70 cm | 20 × 28 in)","offer_id":45864092205217,"sku":"APW-FS1-P-500x700-AM-WHT","price":50.0,"currency_code":"GBP","in_stock":true},{"title":"XLarge (70 × 100 cm | 28 × 40 in)","offer_id":45864092237985,"sku":"APW-FS1-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\/Axisophy-fermats-spiral-white-print.jpg?v=1762261063","url":"https:\/\/axisophy.com\/products\/fermats-spiral","provider":"Axisophy","version":"1.0","type":"link"}