Comments on: The Lazy Rule of Thirds http://www.jakegarn.com/the-rule-of-thirds/ Whimsical fashion photographer Thu, 02 Feb 2012 05:13:34 +0000 hourly 1 http://wordpress.org/?v=3.2.1 By: how to make twitter followers http://www.jakegarn.com/the-rule-of-thirds/comment-page-5/#comment-15878 how to make twitter followers Mon, 09 Jan 2012 08:00:23 +0000 http://www.jakegarn.com/?p=217#comment-15878 Very great post. I just stumbled upon your blog and wished to say that I've truly enjoyed surfing around your weblog posts. After all I will be subscribing for your feed and I'm hoping you write once more very soon! Very great post. I just stumbled upon your blog and wished to say that I’ve truly enjoyed surfing around your weblog posts. After all I will be subscribing for your feed and I’m hoping you write once more very soon!

]]> By: Alysha http://www.jakegarn.com/the-rule-of-thirds/comment-page-5/#comment-15665 Alysha Wed, 14 Dec 2011 01:39:03 +0000 http://www.jakegarn.com/?p=217#comment-15665 So True. So True.

]]> By: Chelsea http://www.jakegarn.com/the-rule-of-thirds/comment-page-1/#comment-15634 Chelsea Thu, 01 Dec 2011 20:54:57 +0000 http://www.jakegarn.com/?p=217#comment-15634 You, sir... Are quite witty. Reminds me slightly of David Thorne. :) You should check out his blog http://27bslash6.com/index.html : ) You, sir… Are quite witty. Reminds me slightly of David Thorne. :) You should check out his blog http://27bslash6.com/index.html : )

]]> By: Jake Garn http://www.jakegarn.com/the-rule-of-thirds/comment-page-5/#comment-15624 Jake Garn Mon, 28 Nov 2011 21:42:08 +0000 http://www.jakegarn.com/?p=217#comment-15624 Photographer is just fine I suppose, but call me whatever you'd like! Photographer is just fine I suppose, but call me whatever you’d like!

]]> By: Roger Wehage http://www.jakegarn.com/the-rule-of-thirds/comment-page-5/#comment-15583 Roger Wehage Fri, 18 Nov 2011 19:57:27 +0000 http://www.jakegarn.com/?p=217#comment-15583 What they don't teach in photography class... The radius of the ith section of the spiral is: (phi – 1)^i = (F_(i+1) – F_i * phi) * (–1)^i; i = 0, 1, ... where phi = 1.6180... phi – 1 = 0.6180... and F_i = F_(i–2) + F_(i–1); F_0 = 0; F_1 = 1; F_2 = 1; etc. is the ith Fibonacci number. For example (phi – 1)^7 = (0.6180...)^7 = (21 – 13 * 1.6180...) * (–1)^7 = 0.03444185... (phi – 1)^8 = (0.6180...)^8 = (44 – 21 * 1.6180...) * (–1)^8 = 0.02128623... And just for fun, phi^i = F_(i–1) + F_i * phi; i = 0, 1, ... In this case: phi^7 = (1.6180...)^7 = 8 + 13 * 1.6180... = 29.03444185... phi^8 = (1.6180...)^8 = 13 + 21 * 1.6180... = 46.97871376... Food for thought: phi^7 – (phi – 1)^7 = 29.00000000000000... phi^8 – (phi – 1)^8 = 46.95742752749569... phi^8 + (phi – 1)^8 = 47.00000000000000... phi^i – (phi – 1)^i = F_(i–1) – F_(i+1) * (–1)^i + F_i * phi * (1 + (–1)^i) Note: (1 + (–1)^i) = 0 when i is odd (1 + (–1)^i) = 2 when i is even What they don’t teach in photography class…

The radius of the ith section of the spiral is:

(phi – 1)^i = (F_(i+1) – F_i * phi) * (–1)^i; i = 0, 1, …

where

phi = 1.6180…

phi – 1 = 0.6180…

and

F_i = F_(i–2) + F_(i–1); F_0 = 0; F_1 = 1; F_2 = 1; etc.

is the ith Fibonacci number.

For example

(phi – 1)^7 = (0.6180…)^7 = (21 – 13 * 1.6180…) * (–1)^7 = 0.03444185…

(phi – 1)^8 = (0.6180…)^8 = (44 – 21 * 1.6180…) * (–1)^8 = 0.02128623…

And just for fun,

phi^i = F_(i–1) + F_i * phi; i = 0, 1, …

In this case:

phi^7 = (1.6180…)^7 = 8 + 13 * 1.6180… = 29.03444185…

phi^8 = (1.6180…)^8 = 13 + 21 * 1.6180… = 46.97871376…

Food for thought:

phi^7 – (phi – 1)^7 = 29.00000000000000…

phi^8 – (phi – 1)^8 = 46.95742752749569…

phi^8 + (phi – 1)^8 = 47.00000000000000…

phi^i – (phi – 1)^i = F_(i–1) – F_(i+1) * (–1)^i + F_i * phi * (1 + (–1)^i)

Note:

(1 + (–1)^i) = 0 when i is odd

(1 + (–1)^i) = 2 when i is even

]]> By: M B A Khan http://www.jakegarn.com/the-rule-of-thirds/comment-page-5/#comment-15576 M B A Khan Wed, 16 Nov 2011 22:18:21 +0000 http://www.jakegarn.com/?p=217#comment-15576 So true... I have been looking forward to read something out of the box since last quite a few months and your post has fulfilled my desire... Thanks So true… I have been looking forward to read something out of the box since last quite a few months and your post has fulfilled my desire…

Thanks

]]> By: Saroni http://www.jakegarn.com/the-rule-of-thirds/comment-page-5/#comment-15482 Saroni Sun, 06 Nov 2011 07:06:07 +0000 http://www.jakegarn.com/?p=217#comment-15482 Hey very great artwork, What type of person are you called since you do this type of art. Are you just called an artist or are you called something else. Hey very great artwork,
What type of person are you called since you do this type of art.
Are you just called an artist or are you called something else.

]]> By: Anurag http://www.jakegarn.com/the-rule-of-thirds/comment-page-5/#comment-14595 Anurag Sat, 17 Sep 2011 15:45:32 +0000 http://www.jakegarn.com/?p=217#comment-14595 For the first time i heard of such an excellent recommendation....and this post is awesome... " I am recommending that you do is to start seeing the world in a way that Mother Nature tends to see the world, and that is in a proportion that is absolutely elegant in it’s mathematical beauty." M still a novice photographerBeing lover of nature & it's beauty..... Your recommendation is very precious to me. Thanks Alot :) For the first time i heard of such an excellent recommendation….and this post is awesome…
” I am recommending that you do is to start seeing the world in a way that Mother Nature tends to see the world, and that is in a proportion that is absolutely elegant in it’s mathematical beauty.”

M still a novice photographerBeing lover of nature & it’s beauty….. Your recommendation is very precious to me.

Thanks Alot :)

]]> By: 70 Useful Photography Articles for Beginners | TheWorld365 | Nuno & Debora Photography http://www.jakegarn.com/the-rule-of-thirds/comment-page-5/#comment-13929 70 Useful Photography Articles for Beginners | TheWorld365 | Nuno & Debora Photography Thu, 18 Aug 2011 04:02:44 +0000 http://www.jakegarn.com/?p=217#comment-13929 [...] The Lazy Rule of Thirds (Jake Garn) [...] [...] The Lazy Rule of Thirds (Jake Garn) [...]

]]> By: Kenneth Chan http://www.jakegarn.com/the-rule-of-thirds/comment-page-5/#comment-13851 Kenneth Chan Sat, 13 Aug 2011 15:53:07 +0000 http://www.jakegarn.com/?p=217#comment-13851 Thanks for the explanation and sample images! I want to continue to learn to see better and be less "lazy" in my composition. Thanks for the explanation and sample images! I want to continue to learn to see better and be less “lazy” in my composition.

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