{"product_id":"modular-circles-mc0005","title":"Modular Circles MC0005","description":"\u003cp\u003ePoints evenly spaced around a circle, each connected by a straight line to the point at five times its number. Nothing curved is drawn; the count simply wraps around whenever it passes the total.\u003c\/p\u003e\n\u003cp\u003eFour cusps form. By this point in the series the pattern governing the construction is unmistakable - the cusp count trails the multiplier by exactly one - but the reason is not obvious from the drawing, and the proof requires the calculus of envelopes rather than anything visible in the figure.\u003c\/p\u003e\n\u003cp\u003eThe secondary structure is what makes this one worth looking at closely. Beyond the main envelope, the lines cross in a fine lattice of their own, denser toward the centre and looser at the rim, produced by nothing more than the arithmetic of remainders.\u003c\/p\u003e\n\u003cp\u003eThe construction has no adjustable parameters beyond the multiplier and the number of points. Everything visible follows from those two numbers, which is an unusually small amount of input for the amount of structure that results.\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":46883868704929,"sku":"AXS-MODC-0005-S-700x700-AM-WHT","price":70.0,"currency_code":"GBP","in_stock":true},{"title":"XLarge (100 × 100 cm | 40 × 40 in)","offer_id":46883868737697,"sku":"AXS-MODC-0005-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-mc0005-art-print-700mm-mockup.jpg?v=1786708585","url":"https:\/\/axisophy.com\/products\/modular-circles-mc0005","provider":"Axisophy","version":"1.0","type":"link"}