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	<title>
	Comments on: Golden Ratio Overview	</title>
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	<link>https://www.goldennumber.net/golden-ratio/</link>
	<description>Golden Ratio, Phi, 1.618, and Fibonacci in Math, Nature, Art, Design, Beauty and the Face. One source with over 100 articles and latest findings.</description>
	<lastBuildDate>Tue, 21 Apr 2026 12:14:03 +0000</lastBuildDate>
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		<title>
		By: Gary B Meisner		</title>
		<link>https://www.goldennumber.net/golden-ratio/#comment-8103</link>

		<dc:creator><![CDATA[Gary B Meisner]]></dc:creator>
		<pubDate>Tue, 21 Apr 2026 12:14:03 +0000</pubDate>
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					<description><![CDATA[In reply to &lt;a href=&quot;https://www.goldennumber.net/golden-ratio/#comment-8097&quot;&gt;Cookie time&lt;/a&gt;.

Thanks, Sean. As you work in design and want to apply the conccepts, see my golden ratio app PhiMatrix at www.phimatrix.com. It makes application of the golden ratio quick and simple. Free trial available for Windows or Mac.]]></description>
			<content:encoded><![CDATA[<p>In reply to <a href="https://www.goldennumber.net/golden-ratio/#comment-8097">Cookie time</a>.</p>
<p>Thanks, Sean. As you work in design and want to apply the conccepts, see my golden ratio app PhiMatrix at <a href="http://www.phimatrix.com" rel="nofollow ugc">http://www.phimatrix.com</a>. It makes application of the golden ratio quick and simple. Free trial available for Windows or Mac.</p>
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		<title>
		By: Cookie time		</title>
		<link>https://www.goldennumber.net/golden-ratio/#comment-8097</link>

		<dc:creator><![CDATA[Cookie time]]></dc:creator>
		<pubDate>Sat, 21 Mar 2026 14:26:52 +0000</pubDate>
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					<description><![CDATA[Gary B Meisner - thank you so much for creating this site. I have a renewed fascination with Phi, Pi and other mathematical concepts. Particularly applied concepts. I work in design and although I&#039;m not an artist, I will be applying what I learn here to various projects moving forward. 

Anyway? Thanks again - you&#039;re the man!

Warm Regards,

Sean]]></description>
			<content:encoded><![CDATA[<p>Gary B Meisner &#8211; thank you so much for creating this site. I have a renewed fascination with Phi, Pi and other mathematical concepts. Particularly applied concepts. I work in design and although I&#8217;m not an artist, I will be applying what I learn here to various projects moving forward. </p>
<p>Anyway? Thanks again &#8211; you&#8217;re the man!</p>
<p>Warm Regards,</p>
<p>Sean</p>
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		<title>
		By: A golden list, starting with a notebook &#124; Michelle Graham		</title>
		<link>https://www.goldennumber.net/golden-ratio/#comment-7870</link>

		<dc:creator><![CDATA[A golden list, starting with a notebook &#124; Michelle Graham]]></dc:creator>
		<pubDate>Sat, 08 Mar 2025 14:19:43 +0000</pubDate>
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					<description><![CDATA[[&#8230;] The best explanation I&#8217;ve read is from the Golden Number website: [&#8230;]]]></description>
			<content:encoded><![CDATA[<p>[&#8230;] The best explanation I&#8217;ve read is from the Golden Number website: [&#8230;]</p>
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		<title>
		By: Gary B Meisner		</title>
		<link>https://www.goldennumber.net/golden-ratio/#comment-7543</link>

		<dc:creator><![CDATA[Gary B Meisner]]></dc:creator>
		<pubDate>Sun, 08 Sep 2024 02:31:05 +0000</pubDate>
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					<description><![CDATA[In reply to &lt;a href=&quot;https://www.goldennumber.net/golden-ratio/#comment-7542&quot;&gt;minimouse&lt;/a&gt;.

Do you mean that you want to find examples of archtecture where the golden ratio was applied, but where the application is not obvious? One that comes to mind is the UN Secretariat Building. It&#039;s used extensively, but in some creative ways that make its use not completely obvious. See https://www.goldennumber.net/un-secretariat-building-golden-ratio-architecture/]]></description>
			<content:encoded><![CDATA[<p>In reply to <a href="https://www.goldennumber.net/golden-ratio/#comment-7542">minimouse</a>.</p>
<p>Do you mean that you want to find examples of archtecture where the golden ratio was applied, but where the application is not obvious? One that comes to mind is the UN Secretariat Building. It&#8217;s used extensively, but in some creative ways that make its use not completely obvious. See <a href="https://www.goldennumber.net/un-secretariat-building-golden-ratio-architecture/" rel="ugc">https://www.goldennumber.net/un-secretariat-building-golden-ratio-architecture/</a></p>
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		<title>
		By: minimouse		</title>
		<link>https://www.goldennumber.net/golden-ratio/#comment-7542</link>

		<dc:creator><![CDATA[minimouse]]></dc:creator>
		<pubDate>Sat, 07 Sep 2024 15:37:33 +0000</pubDate>
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					<description><![CDATA[Hi. I am doing my math project on the golden ratio in architectural designs but need to find structures where the application of the golden ratio can not be clearly identified. Any suggestions to where I might find these? That would be great thxx]]></description>
			<content:encoded><![CDATA[<p>Hi. I am doing my math project on the golden ratio in architectural designs but need to find structures where the application of the golden ratio can not be clearly identified. Any suggestions to where I might find these? That would be great thxx</p>
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		<title>
		By: Gary B Meisner		</title>
		<link>https://www.goldennumber.net/golden-ratio/#comment-5538</link>

		<dc:creator><![CDATA[Gary B Meisner]]></dc:creator>
		<pubDate>Tue, 20 Oct 2020 16:10:59 +0000</pubDate>
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					<description><![CDATA[In reply to &lt;a href=&quot;https://www.goldennumber.net/golden-ratio/#comment-5536&quot;&gt;Rose&lt;/a&gt;.

The golden ratio has been used for centuries by many great artists, architects and designers to produce a natural harmony and beauty in their work, so it truly can be used to make any composition more attractive than one done without regard to the proportions within its design. See the page at https://www.goldennumber.net/category/design/ for a number of examples.

There are, however, a number of different elements and principles of design. The article at https://en.wikipedia.org/wiki/Visual_design_elements_and_principles shows them as:

Elements of design

1	Color
2	Line
3	Point
4	Shape
5	Texture
6	Space
7	Form

Principles of design

1	Unity/harmony
2	Balance
3	Hierarchy/Dominance/Emphasis
4	Scale/proportion
5	Similarity and contrast

Application of the golden ratio can impact unity/harmony, balance and scale/proportion and more, but it is just one aspect of good design. Good design thus requires more than just the application of the golden ratio, but the golden ratio can be used very effectively by those who understand its application to make design and composition better.

As cartoonist Stephen Silver says (https://www.goldennumber.net/golden-ratio-cartoon-character-design/), &quot;The golden ratio is flawless because it gives the “small, medium and large” that design is built upon.&quot;]]></description>
			<content:encoded><![CDATA[<p>In reply to <a href="https://www.goldennumber.net/golden-ratio/#comment-5536">Rose</a>.</p>
<p>The golden ratio has been used for centuries by many great artists, architects and designers to produce a natural harmony and beauty in their work, so it truly can be used to make any composition more attractive than one done without regard to the proportions within its design. See the page at <a href="https://www.goldennumber.net/category/design/" rel="ugc">https://www.goldennumber.net/category/design/</a> for a number of examples.</p>
<p>There are, however, a number of different elements and principles of design. The article at <a href="https://en.wikipedia.org/wiki/Visual_design_elements_and_principles" rel="nofollow ugc">https://en.wikipedia.org/wiki/Visual_design_elements_and_principles</a> shows them as:</p>
<p>Elements of design</p>
<p>1	Color<br />
2	Line<br />
3	Point<br />
4	Shape<br />
5	Texture<br />
6	Space<br />
7	Form</p>
<p>Principles of design</p>
<p>1	Unity/harmony<br />
2	Balance<br />
3	Hierarchy/Dominance/Emphasis<br />
4	Scale/proportion<br />
5	Similarity and contrast</p>
<p>Application of the golden ratio can impact unity/harmony, balance and scale/proportion and more, but it is just one aspect of good design. Good design thus requires more than just the application of the golden ratio, but the golden ratio can be used very effectively by those who understand its application to make design and composition better.</p>
<p>As cartoonist Stephen Silver says (<a href="https://www.goldennumber.net/golden-ratio-cartoon-character-design/" rel="ugc">https://www.goldennumber.net/golden-ratio-cartoon-character-design/</a>), &#8220;The golden ratio is flawless because it gives the “small, medium and large” that design is built upon.&#8221;</p>
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		<title>
		By: Rose		</title>
		<link>https://www.goldennumber.net/golden-ratio/#comment-5536</link>

		<dc:creator><![CDATA[Rose]]></dc:creator>
		<pubDate>Tue, 20 Oct 2020 14:59:22 +0000</pubDate>
		<guid isPermaLink="false">http://www.phisource.com/?p=442#comment-5536</guid>

					<description><![CDATA[In reply to &lt;a href=&quot;https://www.goldennumber.net/golden-ratio/#comment-3408&quot;&gt;Punster&lt;/a&gt;.

Are figures with Golden Proportion really more attractive? explain pls help.......]]></description>
			<content:encoded><![CDATA[<p>In reply to <a href="https://www.goldennumber.net/golden-ratio/#comment-3408">Punster</a>.</p>
<p>Are figures with Golden Proportion really more attractive? explain pls help&#8230;&#8230;.</p>
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		<title>
		By: Gary B Meisner		</title>
		<link>https://www.goldennumber.net/golden-ratio/#comment-5455</link>

		<dc:creator><![CDATA[Gary B Meisner]]></dc:creator>
		<pubDate>Wed, 02 Sep 2020 06:30:18 +0000</pubDate>
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					<description><![CDATA[In reply to &lt;a href=&quot;https://www.goldennumber.net/golden-ratio/#comment-5451&quot;&gt;SOS&lt;/a&gt;.

If this overview article doesn&#039;t help, perhaps try the simpler yet explanation at https://www.goldennumber.net/what-is-phi/. The math involves a little algebra, but the concept is pretty simple. The golden ratio is simply the point at which you divide a line so that the ratio of the entire line to the large segment is EQUAL to the ratio of the large segment to the small segment. By contrast, if you divide a line at its midpoint, the ratio of the entire line to the half is 2 to 1 and the ratio of the two lines is 1 to 1. The golden ratio point occurs when that ratio is 1.618... for both proportions.

The numbers you&#039;re seeing in the spiral are likely the numbers 1, 1, 2, 3, 5, 8, etc. That sequence is called the Fibonacci sequence, and the ratio of each number to the one before it gets closer to the golden ratio, 1.618..., as you go higher in the sequence. Those numbers can be arranged in a spiraling pattern to create a spiral that looks like the golden spiral. See more at https://www.goldennumber.net/spirals/.

And if that still all seems too mathematical, just know that the golden ratio is a unique number in mathematics, a bit like pi. It appears in nature and has been used in the arts to create works with a more natural harmony in their appearance.]]></description>
			<content:encoded><![CDATA[<p>In reply to <a href="https://www.goldennumber.net/golden-ratio/#comment-5451">SOS</a>.</p>
<p>If this overview article doesn&#8217;t help, perhaps try the simpler yet explanation at <a href="https://www.goldennumber.net/what-is-phi/" rel="ugc">https://www.goldennumber.net/what-is-phi/</a>. The math involves a little algebra, but the concept is pretty simple. The golden ratio is simply the point at which you divide a line so that the ratio of the entire line to the large segment is EQUAL to the ratio of the large segment to the small segment. By contrast, if you divide a line at its midpoint, the ratio of the entire line to the half is 2 to 1 and the ratio of the two lines is 1 to 1. The golden ratio point occurs when that ratio is 1.618&#8230; for both proportions.</p>
<p>The numbers you&#8217;re seeing in the spiral are likely the numbers 1, 1, 2, 3, 5, 8, etc. That sequence is called the Fibonacci sequence, and the ratio of each number to the one before it gets closer to the golden ratio, 1.618&#8230;, as you go higher in the sequence. Those numbers can be arranged in a spiraling pattern to create a spiral that looks like the golden spiral. See more at <a href="https://www.goldennumber.net/spirals/" rel="ugc">https://www.goldennumber.net/spirals/</a>.</p>
<p>And if that still all seems too mathematical, just know that the golden ratio is a unique number in mathematics, a bit like pi. It appears in nature and has been used in the arts to create works with a more natural harmony in their appearance.</p>
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		<title>
		By: SOS		</title>
		<link>https://www.goldennumber.net/golden-ratio/#comment-5451</link>

		<dc:creator><![CDATA[SOS]]></dc:creator>
		<pubDate>Tue, 01 Sep 2020 08:48:45 +0000</pubDate>
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					<description><![CDATA[I also received this as a math project, but the thing is, i dont get it, even when people are explaining it to me ;u;

The numbers in the golden spiral, what&#039;s the point of them? And im sorry if you reply and i still dont understand ;-;]]></description>
			<content:encoded><![CDATA[<p>I also received this as a math project, but the thing is, i dont get it, even when people are explaining it to me ;u;</p>
<p>The numbers in the golden spiral, what&#8217;s the point of them? And im sorry if you reply and i still dont understand ;-;</p>
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		<title>
		By: Gary B Meisner		</title>
		<link>https://www.goldennumber.net/golden-ratio/#comment-5066</link>

		<dc:creator><![CDATA[Gary B Meisner]]></dc:creator>
		<pubDate>Thu, 28 Nov 2019 20:04:47 +0000</pubDate>
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					<description><![CDATA[In reply to &lt;a href=&quot;https://www.goldennumber.net/golden-ratio/#comment-5063&quot;&gt;Chris McBean&lt;/a&gt;.

Yes. See these pages for applications of the golden ratio and Fibonacci series to the financial markets:

https://www.goldennumber.net/fibonacci-stock-market-analysis/
https://www.goldennumber.net/forex/
https://www.phimatrix.com/stock-market-analysis/]]></description>
			<content:encoded><![CDATA[<p>In reply to <a href="https://www.goldennumber.net/golden-ratio/#comment-5063">Chris McBean</a>.</p>
<p>Yes. See these pages for applications of the golden ratio and Fibonacci series to the financial markets:</p>
<p><a href="https://www.goldennumber.net/fibonacci-stock-market-analysis/" rel="ugc">https://www.goldennumber.net/fibonacci-stock-market-analysis/</a><br />
<a href="https://www.goldennumber.net/forex/" rel="ugc">https://www.goldennumber.net/forex/</a><br />
<a href="https://www.phimatrix.com/stock-market-analysis/" rel="nofollow ugc">https://www.phimatrix.com/stock-market-analysis/</a></p>
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