![](\"\/doodle\/dragonsample.png\")
<\/p>\nYou may know from The Art of Computer Programming<\/i> §4.1 (citing W. Penney, 1965) that, just as any positive real number can be represented by a bit string in base 2, any complex number can be represented by a bit string in base –1±i. Here I express the bits of that representation as bits of color values.<\/p>\n
<\/p>\n
This is only an arbitrary crop of an image consisting of 218<\/sup> pixels; get 222<\/sup> colors (png, 373 KB)<\/a>. The full 24-bit version will have to wait for me to get cleverer about use of memory. (Later: Success<\/a>.)<\/p>\n When I say I make mathematical pictures<\/a>, the response often is: “Like fractals?” Some of my designs have chaotic reflections, but this is my first fractal in many years.<\/p>\n","protected":false},"excerpt":{"rendered":" You may know from The Art of Computer Programming §4.1 (citing W. Penney, 1965) that, just as any positive real number can be represented by a bit string in base 2, any complex number can be represented by a bit … Continue reading
![get 222<\/sup> colors (png, 373 KB)<\/a>. The full 24-bit version will have to wait for me to get cleverer about use of memory. (Later: Success<\/a>.)<\/p>\nWhen I say I make mathematical pictures<\/a>, the response often is: “Like fractals?” Some of my designs have chaotic reflections, but this is my first fractal in many years.<\/p>\n","protected":false},"excerpt":{"rendered":"You may know from The Art of Computer Programming §4.1 (citing W. Penney, 1965) that, just as any positive real number can be represented by a bit string in base 2, any complex number can be represented by a bit … Continue reading →<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16,12],"tags":[],"class_list":["post-1984","post","type-post","status-publish","format-standard","hentry","category-eye-candy","category-mathematics"],"_links":{"self":[{"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/posts\/1984","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1984"}],"version-history":[{"count":0,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/posts\/1984\/revisions"}],"wp:attachment":[{"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1984"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1984"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1984"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}](\"\/doodle\/dragonb.png\"){kind=link}