{"id":1179,"date":"2010-05-12T15:15:52","date_gmt":"2010-05-12T19:15:52","guid":{"rendered":"http:\/\/orbittrap.ca\/?p=1179"},"modified":"2010-05-12T15:15:52","modified_gmt":"2010-05-12T19:15:52","slug":"2010-nobel-prize-for-fractal-art","status":"publish","type":"post","link":"http:\/\/orbittrap.ca\/?p=1179","title":{"rendered":"2010 Nobel Prize for Fractal Art"},"content":{"rendered":"<p>For his work in discovering the Mandelbox formula of 3-D fractals, the winner is Tom Lowe, better known on Fractalforums.com as <em>Tglad<\/em>.<\/p>\n<p>Now some might ask why Daniel White and the Mandelbulb Team weren&#8217;t this year&#8217;s Nobel recipients, but while the Mandelbulb discovery was truly the most exciting event in the fractal world this past year, and possibly the past <em>two years<\/em>, and has certainly received much more popular attention and interest, I felt the development of the Mandelbulb was an achievement of a more technical and scientific nature while the Mandelbox represents a development with a much greater impact and influence on fractals as an art form.<\/p>\n<p>Paul Lee (<em>Nahee_Enterprises<\/em> on FF) recently made this remark here on Orbit Trap in <a href=\"http:\/\/orbittrap.ca\/?p=1161#comments\">a comment<\/a>:<\/p>\n<blockquote><p>Yes, the Mandelbulb really became quite \u201cfamous\u201d back in November, but  the recent variation of the Mandelbox has added a lot more to the visual  aspects on the current trend in fractal imagery.  There are so many  good examples to choose from that it is difficult to fully represent  what can be done with the new set of programs and algorithms available.<\/p><\/blockquote>\n<p>There are so many examples because many others have noticed the potential of the Mandelbox formula and since these things have been so freely shared without restriction with other fractalists, the formula has been incorporated into a number of programs such as Krzysztof Marczak&#8217;s (<em>Buddhi<\/em>) <a href=\"http:\/\/sourceforge.net\/projects\/mandelbulber\/\">Mandelbulber<\/a> and <a href=\"http:\/\/www.fractalforums.com\/index.php?action=downloads;sa=view;down=9\">Mandelbrot 3D<\/a> by <em>Jesse<\/em> (I only know his screen name), both of which are freely available.\u00a0 Furthermore, thanks to the help of veteran <a href=\"http:\/\/ultrafractal.com\/\">Ultra Fractal<\/a> programmer, <a href=\"http:\/\/www.fractalgallery.co.uk\/\">Dave Makin<\/a> (alias <em>David Makin<\/em> on FF) the Mandelbox formula is available for UF as well.\u00a0 In fact, I believe UF is what Tglad used for both his current and early renderings of the Mandelbox.<\/p>\n<p>The Mandelbox didn&#8217;t exist until February of 2010, which means at his point it&#8217;s only been around for about three and a half months!\u00a0 Like the the great Mandelbulb discovery, you can follow the development of the Mandelbox from it&#8217;s earliest form as an idea in Tglad&#8217;s head (inspired by a related group of 3D fractals) to it&#8217;s final incorporation in the three programs I just mentioned.\u00a0 It all happened on Fractalforums.com and one can at least speculate that without Fractalforums.com and Christian Kleinhuis&#8217; (Trifox) sponsorship and management of that online fractal forum, such advances in fractals may not have occured or would have been greatly hindered.\u00a0 It&#8217;s also possible, I think, that the excitement and attention which the Mandelbulb event stirred up, also attracted and brought together the people who developed the Mandelbox.\u00a0 I&#8217;m still reading through the archives of all these threads over at Fractalforums.com (and trying to keep the screen names straight) so I&#8217;m not as up to speed on these events as others who&#8217;ve been following them for longer may be (i.e. I could be <em>wrong&#8230;<\/em>).<\/p>\n<p>Here&#8217;s the main thread about the Mandelbox entitled, <a href=\"http:\/\/www.fractalforums.com\/3d-fractal-generation\/amazing-fractal\/\">Amazing Fractal<\/a>.\u00a0 It starts out, just like the Mandelbulb quest did, in a very simple and low-key way:<\/p>\n<blockquote><p>This is a new fractal that is member of the fractals described in <a href=\"http:\/\/www.fractalforums.com\/3d-fractal-generation\/continuous-conformal-mandelbrots\/msg12464\/#new\" target=\"_blank\">http:\/\/www.fractalforums.com\/3d-fractal-generation\/continuous-conformal-mandelbrots\/msg12464\/#new<\/a><\/p>\n<p>The  formula is simple:<em> <\/em><\/p>\n<p>[ <em>from <a href=\"http:\/\/www.fractalforums.com\/3d-fractal-generation\/amazing-fractal\/\">Fractalforums.com<\/a><\/em> ]<em><a href=\"http:\/\/www.fractalforums.com\/index.php\"><br \/>\n<\/a><\/em><\/p><\/blockquote>\n<p>Even the very first examples of the Mandelbox were visually attractive.\u00a0 Right away anyone can see the strong design qualities and rich variety to the Mandelbox.\u00a0 Look closely and you&#8217;ll see very little of the self-similarity or repetition that most other fractals have.\u00a0 This is a very <em>un-fractal<\/em> fractal, figuratively speaking.\u00a0 Here are the first three posted by Tglad at Fractalforums.com on February 1st, 2010:<\/p>\n<div id=\"attachment_1182\" style=\"width: 510px\" class=\"wp-caption aligncenter\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-1182\" class=\"size-full wp-image-1182\" title=\"mandelbox1\" src=\"https:\/\/i0.wp.com\/orbittrap.ca\/wp-content\/uploads\/2010\/05\/mandelbox1.png?resize=500%2C499\" alt=\"\" width=\"500\" height=\"499\" srcset=\"https:\/\/i0.wp.com\/orbittrap.ca\/wp-content\/uploads\/2010\/05\/mandelbox1.png?w=500 500w, https:\/\/i0.wp.com\/orbittrap.ca\/wp-content\/uploads\/2010\/05\/mandelbox1.png?resize=150%2C150 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><p id=\"caption-attachment-1182\" class=\"wp-caption-text\">By Tom Lowe (Tglad) Feb. 1, 2010<\/p><\/div>\n<div id=\"attachment_1181\" style=\"width: 510px\" class=\"wp-caption aligncenter\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-1181\" class=\"size-full wp-image-1181\" title=\"mandelbox2\" src=\"https:\/\/i0.wp.com\/orbittrap.ca\/wp-content\/uploads\/2010\/05\/mandelbox2.png?resize=500%2C395\" alt=\"\" width=\"500\" height=\"395\" \/><p id=\"caption-attachment-1181\" class=\"wp-caption-text\">By Tom Lowe (Tglad) Feb. 1, 2010<\/p><\/div>\n<div id=\"attachment_1180\" style=\"width: 510px\" class=\"wp-caption aligncenter\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-1180\" class=\"size-full wp-image-1180\" title=\"mandelbox3\" src=\"https:\/\/i0.wp.com\/orbittrap.ca\/wp-content\/uploads\/2010\/05\/mandelbox3.png?resize=500%2C451\" alt=\"\" width=\"500\" height=\"451\" \/><p id=\"caption-attachment-1180\" class=\"wp-caption-text\">By Tom Lowe (Tglad) Feb. 1, 2010<\/p><\/div>\n<p>Tglad has put together a small <a href=\"http:\/\/sites.google.com\/site\/mandelbox\/\">online gallery<\/a> for the Mandelbox and it&#8217;s best for you to go there and read <a href=\"http:\/\/sites.google.com\/site\/mandelbox\/what-is-a-mandelbox\">his explanations<\/a> of the Mandelbox since the technical side of fractal art is not my forte.\u00a0 One thing I can mention however is that the Mandelbox exhibits something which is a rather uncommon sight in fractals and that is a great amount of <strong><em>non-<\/em><\/strong>self-similarity.\u00a0 This, of course, is what makes the Mandelbox so much more interesting (from an artistic perspective) than the famous Mandelbulb.\u00a0 Tom has involved two features that I think I understand: Julia sets and Folding.\u00a0 What it comes down to is that you don&#8217;t see the same shapes, forms and patterns everywhere in the Mandelbox just as you don&#8217;t see the same shapes and forms in every Julia set of the Mandelbrot formula.\u00a0 Julia sets are one of the easiest ways to produce graphically appealing variations of the Mandelbrot set that&#8217;s part of the mix found in the Mandelbox.\u00a0 The folding feature Tom has introduced just adds to the creative powers of the Mandelbox while at the same time maintaining it&#8217;s strong design qualities through rigorous and careful combinations of patterns (folded over on each other and rendered together).\u00a0 How&#8217;s that for a non-technical description of the Mandelbox?<\/p>\n<p>One other thing:\u00a0 Like the Mandelbulb and probably all 3D fractals and other types of 3D graphics, the Mandelbox will make good use of all the processing and memory resources your computer has.\u00a0 If you&#8217;ve been waiting for a good reason to upgrade you computer, this could be it.\u00a0 But as you can see, even from these prototype images of the Mandelbox, the rich results make all the time and processing power worth it in the end.\u00a0 Take a look at this internal exploration of a Mandelbox done by <em>bib <\/em>(Jeremie Brunet) which was based on a series of images posted by Tglad to FF.\u00a0 I&#8217;m sure this took some time to make, but again, well worth the effort, I&#8217;d say.<\/p>\n<p><object classid=\"clsid:d27cdb6e-ae6d-11cf-96b8-444553540000\" width=\"640\" height=\"385\" codebase=\"http:\/\/download.macromedia.com\/pub\/shockwave\/cabs\/flash\/swflash.cab#version=6,0,40,0\"><param name=\"allowFullScreen\" value=\"true\" \/><param name=\"allowScriptAccess\" value=\"always\" \/><param name=\"src\" value=\"http:\/\/www.youtube.com\/v\/3h7Rtv9kflo&amp;color1=0xb1b1b1&amp;color2=0xd0d0d0&amp;hl=en_US&amp;feature=player_embedded&amp;fs=1\" \/><param name=\"allowfullscreen\" value=\"true\" \/><\/object><br \/>\nSince that day in early February, 2010 there has been a lot of rendering variations of Tglad&#8217;s original formula but Tglad&#8217;s own work still ranks among the best that I&#8217;ve seen.\u00a0 Although Fractalforums.com may not be, as Christian Kleinhuis (Trifox) himself stated in a comment here at Orbit Trap, a fractal <em>art<\/em> site but simply a <em>fractal<\/em> site with an associated image gallery, many of the images there have strong artistic qualities and fulfill the role of art as much as they do the role of illustrations embedded in their related discussion threads.\u00a0 Tglad&#8217;s posted work is one of the best examples.\u00a0 From his earliest examples of the Mandelbox formula to the one below, posted 2 months later, he&#8217;s demonstrated that in addition to his technical skills of a formula developer, he also possesses a real eye for art, particularly color and composition.<\/p>\n<div id=\"attachment_1187\" style=\"width: 385px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/www.fractalforums.com\/index.php?action=gallery;sa=view;id=1973\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-1187\" class=\"size-full wp-image-1187\" title=\"helicopter-ride\" src=\"https:\/\/i0.wp.com\/orbittrap.ca\/wp-content\/uploads\/2010\/05\/helicopter-ride.jpg?resize=375%2C500\" alt=\"\" width=\"375\" height=\"500\" \/><\/a><p id=\"caption-attachment-1187\" class=\"wp-caption-text\">Helicopter Ride by Tom Lowe (Tglad), March 30, 2010 (click for full-size)<\/p><\/div>\n<p>In closing I&#8217;d like to say that I think the Mandelbox and the other 3D fractal types have ushered in a new era of fractal imagery.\u00a0 A lot of the older, 2D stuff looks pretty stale to me right now and I don&#8217;t think it&#8217;s a temporary feeling.\u00a0 I noticed this particularly while browsing the Fractalforums.com gallery.\u00a0 The old stuff looks even older to me now.\u00a0 I&#8217;ll have to confess that over the last few years I&#8217;d become rather bored with fractal art in general.\u00a0 The only thing that really interested me was my own work and that of <a href=\"http:\/\/www.algorithmic-worlds.net\/\">Samuel Monnier&#8217;s &#8220;Pattern Piling&#8221;<\/a> technique.\u00a0 The Mandelbox and other 3D experiments on the Fractalforums.com site have changed all that for me.\u00a0 Fractal art is exciting again and it&#8217;s because of these new algorithms and formulas and the great imagery they produce.<\/p>\n<p>It&#8217;s more than just being &#8220;3D&#8221; instead of &#8220;2D&#8221;.\u00a0 It&#8217;s not like all of a sudden the images are exciting because they&#8217;ve been enhanced with some new feature or gimmick.\u00a0 What the 3D algorithms have added to fractal imagery is much more substantial than just another kind of enhancement.\u00a0 What&#8217;s new and different are these fresh new designs, forms and shapes that the 3D algorithms generate that the old 2D algorithms couldn&#8217;t make.\u00a0 Of course, ultimately, everything becomes a flat, 2D image on a computer screen (unless it&#8217;s a 3D stereo image set) and whether the depth and perspective in the image comes from a system based on 3D voxels or just 2D pixel rendering tricks (height-field; bump-map) it all has the same effect of giving fractal artists more tools for use in their creative pursuit of making fractal artwork.\u00a0 To the fractal scientists however and the formula developers, these differences in the underlying mechanics have more meaning and subsequently attract more of their attention (i.e. not everyone pursues fractals for the same purpose).<\/p>\n<p><em>It&#8217;s a fractal renaissance.<\/em> And if I had to pin an award on just one of the many people who have played a role in bringing it about I&#8217;d choose Tom Lowe.\u00a0 Or rather, I&#8217;d <em>start <\/em>with Tom Lowe.\u00a0 I&#8217;ve got many more awards to give out, a Nobel prize is just the beginning.\u00a0 I&#8217;ve also got a:\u00a0 Knighthood; Oscar; Medal of Honor; Purple Heart; Court-Martial; ye olde forty minus one&#8230;\u00a0 There&#8217;s more.\u00a0 <em>A lot<\/em> more to come.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>For his work in discovering the Mandelbox formula of 3-D fractals, the winner is Tom Lowe, better known on Fractalforums.com as Tglad. Now some might ask why Daniel White and the Mandelbulb Team weren&#8217;t this year&#8217;s Nobel recipients, but while the Mandelbulb discovery was truly the most exciting event in the fractal world this past &hellip; <a href=\"http:\/\/orbittrap.ca\/?p=1179\" class=\"more-link\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":1180,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1179","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-uncategorized"],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/orbittrap.ca\/wp-content\/uploads\/2010\/05\/mandelbox3.png?fit=500%2C451","jetpack-related-posts":[{"id":1980,"url":"http:\/\/orbittrap.ca\/?p=1980","url_meta":{"origin":1179,"position":0},"title":"A Journey to the Center of the Mandelbox","author":"Tim","date":"29 November, 2010","format":false,"excerpt":"A new and wondrous discovery in the land of 3D fractals has been made by a veteran Fractalforum member, Erp Trafassel (trafassel). In response, Daniel White (twinbee), who sparked the original 3D fractal quest for the \"Holy Grail\", the 3D Mandelbrot, gave the Mandelbulb a 5\/10 in achieving the goals\u2026","rel":"","context":"With 1 comment","block_context":{"text":"With 1 comment","link":"http:\/\/orbittrap.ca\/?p=1980#comments"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/orbittrap.ca\/wp-content\/uploads\/2010\/11\/031.jpg?fit=491%2C750&resize=350%2C200","width":350,"height":200},"classes":[]},{"id":1227,"url":"http:\/\/orbittrap.ca\/?p=1227","url_meta":{"origin":1179,"position":1},"title":"10 Fractals and a Movie","author":"Tim","date":"28 May, 2010","format":false,"excerpt":"Have I mentioned what a great addition to the fractal world Fractalforums.com is?\u00a0 As someone who likes to review exciting new things in fractal art it's really made my job much easier.\u00a0 Before, I used to wander around Flickr or check out links on the UF mailing list or just\u2026","rel":"","context":"With 6 comments","block_context":{"text":"With 6 comments","link":"http:\/\/orbittrap.ca\/?p=1227#comments"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/orbittrap.ca\/wp-content\/uploads\/2010\/05\/tales.jpg?fit=420%2C607&resize=350%2C200","width":350,"height":200},"classes":[]},{"id":3028,"url":"http:\/\/orbittrap.ca\/?p=3028","url_meta":{"origin":1179,"position":2},"title":"Scenes Inside the Goldmine","author":"Tim","date":"24 September, 2011","format":false,"excerpt":"Why do people make fractal art? Well, actually they don't make it so much as they find it... steal it... dig it out of the dirt. Some of the best pieces of fractal art are things just picked up off the floor of the gold mine. The fractal miners don't\u2026","rel":"","context":"Similar post","block_context":{"text":"Similar post","link":""},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/orbittrap.ca\/wp-content\/uploads\/2011\/09\/800px-Gold-crystals.jpg?fit=500%2C324&resize=350%2C200","width":350,"height":200},"classes":[]},{"id":1809,"url":"http:\/\/orbittrap.ca\/?p=1809","url_meta":{"origin":1179,"position":3},"title":"Mixed Media Fractals","author":"Tim","date":"19 November, 2010","format":false,"excerpt":"Although some fractals today can look extremely realistic, I find they don't usually mix well with photographic elements. Computer-made imagery just seems to clash --aesthetically-- with imagery from the real world. But just recently I discovered a few examples of just the opposite; harmony and synergy in a image mixing\u2026","rel":"","context":"With 2 comments","block_context":{"text":"With 2 comments","link":"http:\/\/orbittrap.ca\/?p=1809#comments"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/orbittrap.ca\/wp-content\/uploads\/2010\/11\/Cherry-Blossoms-by-brutaltoad.jpeg?fit=600%2C450&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/orbittrap.ca\/wp-content\/uploads\/2010\/11\/Cherry-Blossoms-by-brutaltoad.jpeg?fit=600%2C450&resize=350%2C200 1x, https:\/\/i0.wp.com\/orbittrap.ca\/wp-content\/uploads\/2010\/11\/Cherry-Blossoms-by-brutaltoad.jpeg?fit=600%2C450&resize=525%2C300 1.5x"},"classes":[]},{"id":3973,"url":"http:\/\/orbittrap.ca\/?p=3973","url_meta":{"origin":1179,"position":4},"title":"No More Flat Fractals!","author":"Tim","date":"25 October, 2012","format":false,"excerpt":"Does it seem that no one has any interest in the old, 2D fractal images anymore?\u00a0 And furthermore, does it seem that since the advent of the 3D fractal craze that there are more fractal artists making interesting work than ever before? I'd answer yes to both those questions.\u00a0 Numerous\u2026","rel":"","context":"With 2 comments","block_context":{"text":"With 2 comments","link":"http:\/\/orbittrap.ca\/?p=3973#comments"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/orbittrap.ca\/wp-content\/uploads\/2012\/10\/Industrial-Contamination-by-HalTenny.jpg?fit=400%2C225&resize=350%2C200","width":350,"height":200},"classes":[]},{"id":1379,"url":"http:\/\/orbittrap.ca\/?p=1379","url_meta":{"origin":1179,"position":5},"title":"Bow the Knee to Blob!","author":"Tim","date":"3 July, 2010","format":false,"excerpt":"Such simple rendering and yet, such powerful rendering. \u00a0Remember, most of MC Escher's great drawings were done in pencil, so there's no reason why a grayscale or monotone image has to be dull. \u00a0Just look at the detail in blob's image, how it's all over the place in every nook\u2026","rel":"","context":"Similar post","block_context":{"text":"Similar post","link":""},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/orbittrap.ca\/wp-content\/uploads\/2010\/07\/Alien-Ruins.jpg?fit=600%2C450&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/orbittrap.ca\/wp-content\/uploads\/2010\/07\/Alien-Ruins.jpg?fit=600%2C450&resize=350%2C200 1x, https:\/\/i0.wp.com\/orbittrap.ca\/wp-content\/uploads\/2010\/07\/Alien-Ruins.jpg?fit=600%2C450&resize=525%2C300 1.5x"},"classes":[]}],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"http:\/\/orbittrap.ca\/index.php?rest_route=\/wp\/v2\/posts\/1179","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/orbittrap.ca\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/orbittrap.ca\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/orbittrap.ca\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/orbittrap.ca\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1179"}],"version-history":[{"count":9,"href":"http:\/\/orbittrap.ca\/index.php?rest_route=\/wp\/v2\/posts\/1179\/revisions"}],"predecessor-version":[{"id":1192,"href":"http:\/\/orbittrap.ca\/index.php?rest_route=\/wp\/v2\/posts\/1179\/revisions\/1192"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/orbittrap.ca\/index.php?rest_route=\/wp\/v2\/media\/1180"}],"wp:attachment":[{"href":"http:\/\/orbittrap.ca\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1179"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/orbittrap.ca\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1179"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/orbittrap.ca\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1179"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}