{"id":1205,"date":"2019-01-28T17:21:20","date_gmt":"2019-01-28T23:21:20","guid":{"rendered":"https:\/\/jaoart.com\/?p=1205"},"modified":"2019-02-12T11:32:51","modified_gmt":"2019-02-12T17:32:51","slug":"how-to-draw-opposing-fibonacci-spirals","status":"publish","type":"post","link":"https:\/\/jaoart.com\/how-to-draw-opposing-fibonacci-spirals\/","title":{"rendered":"How to Draw Opposing Fibonacci Spirals"},"content":{"rendered":"\r\n

As you already know I have been exploring geometric drawing with the ultimate goal of using these images in finished paintings. l plan on combining the geometry with my figures and\/or launching into purely abstract works. A couple of weeks ago I decided to try opposing Fibonacci spirals. You’ve seen them in the heads of flowers, pine cones, pineapples and the really cool romanesco<\/a> vegetable. I didn’t think it would be too hard. I’d focus, accept some trial and error, focus some more and I’d get it. It turned out to be a fairly harrowing experience, with mind bending twists and turns (pun intended),\u00a0 frustrations that caused marital problems, grouchiness, and general malaise until I figured it all out. See the dramatic pictoral journey recreated here.<\/p>\r\n

The Fibonacci sequence<\/a> (1, 1, 2, 3, 5, 8, 13…) dictates the size of the squares that are used to draw the arcs. These drawings are actually a close approximation of the patterns we see in nature as an exact replication is not possible. What is interesting to note is that the websites<\/a> and video tutorials<\/a> that I found showed the spiral starting with two small squares. When I did multiple spirals this way the arms crossed. I ended up skipping one, so I did the # 1 square once, not twice, and spaced it out a bit from the center. I believe the actual way to do it would be to split the golden rectangle into a square and draw an arc, and keep doing that ad infinitum. Recommended books: Ruler and Compass<\/a>\u00a0by Andrew Sutton, Sacred Geometry by Stephen Skinner<\/a>.<\/p>\r\n","protected":false},"excerpt":{"rendered":"

As you already know I have been exploring geometric drawing with the ultimate goal of using these images in finished paintings. l plan on combining the geometry with my figures…<\/p>\n","protected":false},"author":2,"featured_media":1222,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[49],"tags":[56,72,57,44],"_links":{"self":[{"href":"https:\/\/jaoart.com\/wp-json\/wp\/v2\/posts\/1205"}],"collection":[{"href":"https:\/\/jaoart.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/jaoart.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/jaoart.com\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/jaoart.com\/wp-json\/wp\/v2\/comments?post=1205"}],"version-history":[{"count":0,"href":"https:\/\/jaoart.com\/wp-json\/wp\/v2\/posts\/1205\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/jaoart.com\/wp-json\/wp\/v2\/media\/1222"}],"wp:attachment":[{"href":"https:\/\/jaoart.com\/wp-json\/wp\/v2\/media?parent=1205"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/jaoart.com\/wp-json\/wp\/v2\/categories?post=1205"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/jaoart.com\/wp-json\/wp\/v2\/tags?post=1205"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}