{"product_id":"modular-circles-mc0004","title":"Modular Circles MC0004","description":"\u003cp\u003eNumber a set of points spaced evenly around a circle, then join each to the point at four times its number, counting round again whenever the total is exceeded. The construction uses straight lines exclusively.\u003c\/p\u003e\n\u003cp\u003eThree cusps appear. The curve is an epicycloid - the path traced by a point on the rim of a circle rolling around the outside of another - and this particular one, with three cusps, is close kin to the deltoid that Euler studied in 1745 while working on a problem in optics.\u003c\/p\u003e\n\u003cp\u003eThe rule holds throughout the series: cusps are always one fewer than the multiplier. What changes as the multiplier climbs is not the principle but the density. At four the structure is still legible as a single closed curve. Higher multipliers begin to fill the circle with overlapping envelopes until the individual shape gives way to texture.\u003c\/p\u003e\n\u003cp\u003eThe whole thing was once a schoolroom exercise done with pins and thread, which is worth remembering when looking at it: every intersection here could in principle have been placed by hand.\u003c\/p\u003e\n\u003cp\u003ePart of the Signature series of mathematical art prints.\u003c\/p\u003e","brand":"Axisophy","offers":[{"title":"Large (70 × 70 cm | 28 × 28 in)","offer_id":46883867525281,"sku":"AXS-MODC-0004-S-700x700-AM-WHT","price":70.0,"currency_code":"GBP","in_stock":true},{"title":"XLarge (100 × 100 cm | 40 × 40 in)","offer_id":46883867558049,"sku":"AXS-MODC-0004-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-modular-circles-mc0004-art-print-700mm-mockup.jpg?v=1786708509","url":"https:\/\/axisophy.com\/products\/modular-circles-mc0004","provider":"Axisophy","version":"1.0","type":"link"}