{"product_id":"the-family-tree-of-fractal-curves","title":"The Family Tree of Fractal Curves","description":"\u003cp\u003eThis book explains a taxonomy of plane-filling curves (fractal curves with a fractal dimension of 2). it includes the classic fractal curves described in Mandelbrot's original book. Many new fractal curves are introduced.\u003c\/p\u003e \n\n\u003cp\u003eThe taxonomy is based upon the Gaussian integers and the Eisenstein integers - each forming a lattice (square and triangular). These lattices have algebraic properties, which allows number theory to be used in describing and classifying these curves.\u003c\/p\u003e \n\n\u003cp\u003eThis work has been under development for over 30 years. An earlier version of this taxonomy is described in the book \"Brain-filling Curves\", also by Jeffrey Ventrella.\u003c\/p\u003e \n\n\u003cp\u003eMore on plane-filling curves can be found at fractalcurves.com\u003c\/p\u003e","brand":"Jeffrey Ventrella","offers":[{"title":"Paperback","offer_id":44233862152353,"sku":"9780983054634","price":38.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0462\/1120\/3233\/files\/1y5vdwdm-front-shortedge-384.jpg?v=1748235417","url":"https:\/\/bookswholesale.myshopify.com\/products\/the-family-tree-of-fractal-curves","provider":"BooksWholesale","version":"1.0","type":"link"}