<?xml version="1.0" encoding="utf-8"?>
<rss version="2.0"
	xmlns:content="http://purl.org/rss/1.0/modules/content/"
	xmlns:wfw="http://wellformedweb.org/CommentAPI/"
	xmlns:dc="http://purl.org/dc/elements/1.1/"
	xmlns:atom="http://www.w3.org/2005/Atom"
	xmlns:sy="http://purl.org/rss/1.0/modules/syndication/"
	xmlns:slash="http://purl.org/rss/1.0/modules/slash/"
	>

<channel>
	<title>introvert.net &#187; stars</title>
	<atom:link href="http://introvert.net/blog/category/stars/feed/" rel="self" type="application/rss+xml" />
	<link>http://introvert.net/blog</link>
	<description>t e whalen</description>
	<lastBuildDate>Sat, 20 Jun 2009 14:34:02 +0000</lastBuildDate>
	<language>en</language>
	<sy:updatePeriod>hourly</sy:updatePeriod>
	<sy:updateFrequency>1</sy:updateFrequency>
	<generator>http://wordpress.org/?v=3.1.3</generator>
		<item>
		<title>vexed</title>
		<link>http://introvert.net/blog/2005/10/03/vexed/</link>
		<comments>http://introvert.net/blog/2005/10/03/vexed/#comments</comments>
		<pubDate>Mon, 03 Oct 2005 06:28:49 +0000</pubDate>
		<dc:creator>tew</dc:creator>
				<category><![CDATA[chicago]]></category>
		<category><![CDATA[flag]]></category>
		<category><![CDATA[soccer]]></category>
		<category><![CDATA[stars]]></category>

		<guid isPermaLink="false">http://introvert.net/blog/2005/10/03/vexed/</guid>
		<description><![CDATA[The <a href="http://gwav.tripod.com/issue_19.htm">July issue of the Flagwaver</a> appeared on the internets recently, containing an editorial response to my complaints about their depiction of the Chicago Flag in their December 2000 issue.  They&#8217;re dismissive of my originalist argument, preferring some combination&#8230;]]></description>
			<content:encoded><![CDATA[<p>The <a href="http://gwav.tripod.com/issue_19.htm">July issue of the Flagwaver</a> appeared on the internets recently, containing an editorial response to my complaints about their depiction of the Chicago Flag in their December 2000 issue.  They&#8217;re dismissive of my originalist argument, preferring some combination of strict constructionalism and textualism.  Clearly, some legistlative action is called for.  Update:  Loyal reader S.G. points out more Chicago flag related action <a href="http://section8chicago.com/news/press_detail.asp?prID=65">in the soccer arena</a>, relating to the third uniform design worn by the Chicago Fire.</p>
]]></content:encoded>
			<wfw:commentRss>http://introvert.net/blog/2005/10/03/vexed/feed/</wfw:commentRss>
		<slash:comments>1</slash:comments>
		</item>
		<item>
		<title>quick note on bibliography</title>
		<link>http://introvert.net/blog/2005/09/06/quick-note-on-bibliography/</link>
		<comments>http://introvert.net/blog/2005/09/06/quick-note-on-bibliography/#comments</comments>
		<pubDate>Tue, 06 Sep 2005 20:08:47 +0000</pubDate>
		<dc:creator>tew</dc:creator>
				<category><![CDATA[bibliography]]></category>
		<category><![CDATA[chicago]]></category>
		<category><![CDATA[flag]]></category>
		<category><![CDATA[history]]></category>
		<category><![CDATA[stars]]></category>

		<guid isPermaLink="false">http://introvert.net/blog/2005/09/06/quick-note-on-bibliography/</guid>
		<description><![CDATA[I&#8217;ve posted my in-progress <a href="http://introvert.net/2005/chiflag/bibliography.pdf">annotated bibliography of the Chicago Flag</a>. There&#8217;s a lot of things I need to add, but it&#8217;s relatively complete, at least as far as the timeline of events goes.
]]></description>
			<content:encoded><![CDATA[<p>I&#8217;ve posted my in-progress <a href="http://introvert.net/2005/chiflag/bibliography.pdf">annotated bibliography of the Chicago Flag</a>. There&#8217;s a lot of things I need to add, but it&#8217;s relatively complete, at least as far as the timeline of events goes.</p>
]]></content:encoded>
			<wfw:commentRss>http://introvert.net/blog/2005/09/06/quick-note-on-bibliography/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
		</item>
		<item>
		<title>five-point star situation</title>
		<link>http://introvert.net/blog/2005/08/21/five-point-star-situation/</link>
		<comments>http://introvert.net/blog/2005/08/21/five-point-star-situation/#comments</comments>
		<pubDate>Sun, 21 Aug 2005 20:25:03 +0000</pubDate>
		<dc:creator>tew</dc:creator>
				<category><![CDATA[chicago]]></category>
		<category><![CDATA[flag]]></category>
		<category><![CDATA[stars]]></category>

		<guid isPermaLink="false">http://introvert.net/blog/2005/08/21/five-point-star-situation/</guid>
		<description><![CDATA[Where I am in my research:

The Tribune article expressing Rice&#8217;s discontent with the plan to make the stars five-pointed led me to look in 1928&#8242;s council proceedings to find what action, if any, was taked on the proposed ordinance.&#8230;]]></description>
			<content:encoded><![CDATA[<p>Where I am in my research:</p>

<p>The Tribune article expressing Rice&#8217;s discontent with the plan to make the stars five-pointed led me to look in 1928&#8242;s council proceedings to find what action, if any, was taked on the proposed ordinance.  I assumed, since the current flag sports lovely six-pointed stars, that the ordinance was shunted off to committee or never introduced.</p>

<p>Some time with the indexes to the proceedings revealed that it did indeed come up for a vote on February 15th, 1928 &#8212; and the ordinance passed.  Which means that the City Clerk should have made the appropriate changes to the city code.  However, all the printed and bound editions of the code that the Municipal Reference department can produce all have &#8220;six in number&#8221; language.  I didn&#8217;t make careful notes on the exact dates of the volumes, so I can&#8217;t be sure the changes were never applied.</p>

<p>However, I&#8217;ve yet to see a picture of a flag from the 1928-1933 era, between the time the change was made and the third star was added.  Also, the only reference I&#8217;ve found to &#8220;five-pointed&#8221; stars (and what I assumed was a typo) is from a typewritten page by Frederick Rex, one of the municpal librarians. It&#8217;s an excerpt from the &#8220;Quarterly Bulletin&#8221; of the Municipal Employees Society from Sept. 1930. </p>

<p>I&#8217;ve checked the indexes to the City Council proceedings from 1928-1939 for further changes to the flag (perhaps undoing the five-to-six point change), but the only actions I could find were the adding of stars. The 1939 ordinance adding the fourth red star for Ft. Dearborn contains the &#8220;points, six in number&#8221; language, both in the section to be modified and the text to be added.</p>

<p>So, at some point between 1928 and 1939 (or possibly 1933, since I&#8217;ve seen three-star flags with six points) they changed the language back, and this action didn&#8217;t get picked up by the indexer of the proceedings. It&#8217;s also possible that the six-to-five change was never made, which opens a whole other can of worms &#8212; what happens when ordinances pass but never make it onto the books?</p>
]]></content:encoded>
			<wfw:commentRss>http://introvert.net/blog/2005/08/21/five-point-star-situation/feed/</wfw:commentRss>
		<slash:comments>1</slash:comments>
		</item>
		<item>
		<title>Change in Specifications for the Municipal Flag</title>
		<link>http://introvert.net/blog/2005/08/21/change-in-specifications-for-the-municipal-flag/</link>
		<comments>http://introvert.net/blog/2005/08/21/change-in-specifications-for-the-municipal-flag/#comments</comments>
		<pubDate>Sun, 21 Aug 2005 20:06:49 +0000</pubDate>
		<dc:creator>tew</dc:creator>
				<category><![CDATA[chicago]]></category>
		<category><![CDATA[flag]]></category>
		<category><![CDATA[stars]]></category>

		<guid isPermaLink="false">http://introvert.net/blog/?p=134</guid>
		<description><![CDATA[(From the proceedings of the Chicago City Council, February 15, 1928, p. 2155)

Alderman Mose presented the following ordinance:

<i>Be it ordained by the City Council of the City of Chicago:</i>

Section 1: That Section 1017 of The Chicago Municipal&#8230;]]></description>
			<content:encoded><![CDATA[<p>(From the proceedings of the Chicago City Council, February 15, 1928, p. 2155)</p>

<p>Alderman Mose presented the following ordinance:</p>

<p><i>Be it ordained by the City Council of the City of Chicago:</i></p>

<p>Section 1: That Section 1017 of The Chicago Municipal Code of 1922 be and the same is hereby amended to read as follows:</p>

<blockquote>&#8220;1017. <b>The Chicago municipal flag.</b> The Chicago municipal flag shall be white, with two blue bars, each taking up a sixth of its space, and set a little less than one-sixth of the way from the top and bottom of the flag, respectively. There shall be two bright red stars with sharp points, <i>five</i> in number, set side by side, close together, next the staff in the middle third of the surface of the flag.&#8221;</blockquote>

<p>Section 2: This ordinance shall be in force and effect from and after its passage and approval.</p>

<p>Unanimous consent was given to permit action on said ordinance without reference thereof to a committee.</p>

<p>Alderman Mose moved to pass said ordinance.</p>

<p>The motion prevailed, by yeas and nays as follows:</p>

<p><i>Yeas</i>&#8211; Coughlin, Anderson, Jackons, Cronson, Grossman, Meyering, Govier, Rowan, Wilson, Hartnett, McDonough, O&#8217;Toole, Moran, Coyle, Ryan, McKinlay, Prignano, D. A. Horan, Cepak, Toamn, Arvey, J. H. Bowler, Sloan, Maypole, A. J. Horan, Clark, Smith, Petlak, Kaindl, Nusser, Mills, Adamowski, Rings, Chapman, T. J. Bowler, Haffa,  Loescher, Feigenbutz, Nelson, Hoellen, Massen, Frankhauser, Mose &#8212; 43.</p>

<p><i>Nays</i> &#8212; None.</p>
]]></content:encoded>
			<wfw:commentRss>http://introvert.net/blog/2005/08/21/change-in-specifications-for-the-municipal-flag/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
		</item>
		<item>
		<title>Designer of Chicago flag protests plan to change its stars</title>
		<link>http://introvert.net/blog/2005/08/21/designer-of-chicago-flag-protests-plan-to-change-its-stars/</link>
		<comments>http://introvert.net/blog/2005/08/21/designer-of-chicago-flag-protests-plan-to-change-its-stars/#comments</comments>
		<pubDate>Sun, 21 Aug 2005 19:59:00 +0000</pubDate>
		<dc:creator>tew</dc:creator>
				<category><![CDATA[chicago]]></category>
		<category><![CDATA[flag]]></category>
		<category><![CDATA[stars]]></category>

		<guid isPermaLink="false">http://introvert.net/blog/2005/08/21/designer-of-chicago-flag-protests-plan-to-change-its-stars/</guid>
		<description><![CDATA[(from the Chicago Daily Tribune, Feb 3, 1928)

Word that Mayor Thompson has ordered preparation of an ordinance to change the stars in the municipal flag from six point to five point yesterday drew a protest from the flag&#8217;s designer,&#8230;]]></description>
			<content:encoded><![CDATA[<p>(from the Chicago Daily Tribune, Feb 3, 1928)</p>

<p>Word that Mayor Thompson has ordered preparation of an ordinance to change the stars in the municipal flag from six point to five point yesterday drew a protest from the flag&#8217;s designer, Wallace Rice.  Mr. Rice designed the flag in 1917 at the request of the mayor, he said. It is now planned to change the stars so that they will conform to those in the national flag, it was stated.</p>

<p>&#8220;I purposely made the stars six pointed,&#8221; Mr. Rice said yesterday. &#8220;Five point stars are the symbols of states and could manifestly have no place in a municipal flag. Mayor Thompson is making not only himself but the flag ridiculous by ordering the change.&#8221;</p>

<p>There are two red stars in the municipal flag and two blue stripes on a white background.  The stripes, the color, and the stars all have a detailed symbolism, each point of the stars representing a distinct characteristic of the city, Mr. Rice explained.</p>

<p>The proposed ordinance is to be presented to the city council on Feb. 15, it was reported.</p>
]]></content:encoded>
			<wfw:commentRss>http://introvert.net/blog/2005/08/21/designer-of-chicago-flag-protests-plan-to-change-its-stars/feed/</wfw:commentRss>
		<slash:comments>1</slash:comments>
		</item>
		<item>
		<title>Wallace Rice on Chicago Stars</title>
		<link>http://introvert.net/blog/2005/07/22/wallace-rice-on-chicago-stars/</link>
		<comments>http://introvert.net/blog/2005/07/22/wallace-rice-on-chicago-stars/#comments</comments>
		<pubDate>Fri, 22 Jul 2005 22:56:06 +0000</pubDate>
		<dc:creator>tew</dc:creator>
				<category><![CDATA[chicago]]></category>
		<category><![CDATA[flag]]></category>
		<category><![CDATA[stars]]></category>

		<guid isPermaLink="false">http://introvert.net/blog/?p=130</guid>
		<description><![CDATA[From a 1928 letter by Wallace Rice to a Mr. Ettleson:

<blockquote>
To return to the six-pointed stars in the Chicago municipal flag.  By the terms of the competition under the rules laid down by the Chicago Flag Commission in</blockquote>&#8230;]]></description>
			<content:encoded><![CDATA[<p>From a 1928 letter by Wallace Rice to a Mr. Ettleson:</p>

<blockquote>
<p>To return to the six-pointed stars in the Chicago municipal flag.  By the terms of the competition under the rules laid down by the Chicago Flag Commission in 1917, the use of religious symbols, which included the cross, the star and crescent, and the two triangles, one reversed and superimposed, was barred, for obvious reasons. [1] The five-pointed star, symbol of a soverign State, was also considered out of place, for reasons which I hope have been made equally obvious here.  Chicago is a city.</p>
<p>After more than four hundred designs had been made by me, I finally struck upon such a six-pointed star as had never appeared in any flag before, peculiarly and singularly a Chicago star, made by a Chicagoan for his greatly loved city, by an American in the tenth generation in this country, whose ancestors had fought against Great Britain, for the most American of American cities. It differs from all other stars in use in European heraldry and in State and National flags and coats-of-arms, and is specifically for and of Chicago and nowhere else on earth because its points are straight and not like the usual heraldric etioile curved like flames, and because these points subtend an angle of only thirty degrees, instead of the sixty degrees subtended in the star made by superimposing a triangle.</p>
</blockquote>

<ol>
<li>According my copy of the rules, on file at the Chicago Public Library&#8217;s municipal reference collection, no rule specifically bars religious imagery.</li>
</ol>
]]></content:encoded>
			<wfw:commentRss>http://introvert.net/blog/2005/07/22/wallace-rice-on-chicago-stars/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
		</item>
		<item>
		<title>Offer Design For City Flag; What It Means</title>
		<link>http://introvert.net/blog/2005/07/20/offer-design-for-city-flag-what-it-means/</link>
		<comments>http://introvert.net/blog/2005/07/20/offer-design-for-city-flag-what-it-means/#comments</comments>
		<pubDate>Thu, 21 Jul 2005 00:44:33 +0000</pubDate>
		<dc:creator>tew</dc:creator>
				<category><![CDATA[chicago]]></category>
		<category><![CDATA[flag]]></category>
		<category><![CDATA[stars]]></category>

		<guid isPermaLink="false">http://introvert.net/blog/?p=127</guid>
		<description><![CDATA[[from the Chicago Daily Tribune, March 29th, 1917, p.13]
<blockquote>
<b>OFFER DESIGN FOR CITY FLAG; WHAT IT MEANS</b></blockquote>

Design for a Chicago Flag, to be emblematic of a robust municipal ideal, was submitted to the city council yesterday by the&#8230;]]></description>
			<content:encoded><![CDATA[<p>[from the Chicago Daily Tribune, March 29th, 1917, p.13]
<blockquote>
<p><b>OFFER DESIGN FOR CITY FLAG; WHAT IT MEANS</b></p></blockquote></p>

<p></p><p>Design for a Chicago Flag, to be emblematic of a robust municipal ideal, was submitted to the city council yesterday by the Chicago municipal flag commission, appointed by <a href="http://en.wikipedia.org/wiki/William_Hale_Thompson">Mayor Thompson</a> eighteen months ago.  The commission describes the flag thus:</p><p></p>

<p></p><p>&#8220;Its uppermost stripe, of white, is eight inches broad; the second stripe, of blue, is nine inches; the central bar, of white, is eighteen inches, and the two lower stripes correspond with the uppermost two.  Near the staff on the broad white stripe are two six pointed red stars, fourteen inches tall.&#8221;</p>

<p>&#8220;Viewed locally, the two blue stripes symbolize the Chicago river with its two branches and the three white bars represent the three sides of the city.  The red stars stand for the Chicago fire and the World&#8217;s fair, two great influences on the city&#8217;s history. The six points in the first star stand for transportation, trade, finance, industry, populousness, and healthfulness; those in the second for religion, education, aesthetics, beneficence, justice and civism [sic].&#8221;</p>

<p>&#8220;Considered nationally, the blue stripes stand for the mountain ranges which flank the plain of which Chicago is the center. The central white bar stands for this plain and the two outer white bars for the Atlantic and Pacific coasts.&#8221;</p>

<p>The flag was designed by Wallace Rice, 2701 Best avenue.</p>

<p></p>
]]></content:encoded>
			<wfw:commentRss>http://introvert.net/blog/2005/07/20/offer-design-for-city-flag-what-it-means/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
		</item>
		<item>
		<title>continuing obsessive coverage of chicago stars</title>
		<link>http://introvert.net/blog/2005/03/07/continuing-obsessive-coverage-of-chicago-stars/</link>
		<comments>http://introvert.net/blog/2005/03/07/continuing-obsessive-coverage-of-chicago-stars/#comments</comments>
		<pubDate>Mon, 07 Mar 2005 16:21:02 +0000</pubDate>
		<dc:creator>tew</dc:creator>
				<category><![CDATA[chicago]]></category>
		<category><![CDATA[flag]]></category>
		<category><![CDATA[stars]]></category>

		<guid isPermaLink="false">http://introvert.net/blog/2005/03/05/continuing-obsessive-coverage-of-chicago-stars/</guid>
		<description><![CDATA[The <a href="http://gwav.tripod.com/issue_10.htm">journal</a> of the <a href="http://gwav.tripod.com/">Great Waters Association of Vexillology</a> (the study of flags is called <a href="http://en.wikipedia.org/wiki/Vexillology">Vexillology</a>) reports on the original proceedings of the 1917 Chicago City Council that adopted the flag design, which at that time, only&#8230;]]></description>
			<content:encoded><![CDATA[<p>The <a href="http://gwav.tripod.com/issue_10.htm">journal</a> of the <a href="http://gwav.tripod.com/">Great Waters Association of Vexillology</a> (the study of flags is called <a href="http://en.wikipedia.org/wiki/Vexillology">Vexillology</a>) reports on the original proceedings of the 1917 Chicago City Council that adopted the flag design, which at that time, only had two stars.  Here&#8217;s <a href="http://www.chicagohs.org/fire/commemorate/pic0132.html">an image of the original flag</a> as pictured in the Chicago Herald and Examiner in 1921, courtesy of the Chicago Historical Society. I&#8217;ll quote the relevant portion of Wallace Rice&#8217;s description here:</p>

<blockquote>
  <p>Next (to) the hoist and two inches from it at the nearest point is a red star <b>fourteen inches tall with six points drawn from a circle six inches in diameter</b>. Two inches from this is a second star of the same size.  [...] The two stars stand for the two great formative events in Chicago history, the Great Fire of 1871 and the World&#8217;s Columbian Exposition of 1893. They are given six points each that they may not be confused with the five-pointed stars which stand for the States of the Union in the American Flag.</p>
</blockquote>

<p>The bold passage (emphasis mine, obviously) gives us numbers, slightly different from the numbers I calculated in my previous post, <a href="/blog/2004/04/17/what-is-the-deal-with-the-stars-on-the-chicago-flag/">&#8220;what is the deal with the stars on the chicago flag?&#8221;</a>. There, I got:</p>

<blockquote>
  <p>The outer radius (the circumradius) is 2.4 times the length of the inner radius (which, in Adobe parlance, is the circle which intersects the points of concavity, not the incircle of the hexagon).</p>
</blockquote>

<p>The 1917 numbers give an outer radius 2.33 times the inner radius. Let&#8217;s compare these stars:</p>

<p><img src="/images/2005/03/rice-compare" /></p>

<p>These stars are very, very similar, but more importantly, they&#8217;re both <em>pointy</em>.  I was going to post a very long entry with all the trigonmetry necessary to show the exact percentage difference in area, but I think I&#8217;ll spare you, this time. The key here is that the star was designed to be sharp from the very start, and distinct from the regular hexagram.</p>

<p>Which of the two is <em>most correct</em>?  It&#8217;s hard to say.  I&#8217;m pretty sure that Rice&#8217;s 1917 14:6 number is just rounding error.  He probably just didn&#8217;t want to write 14.4 inches.  Since the difference is so very small, let&#8217;s call them both within the margin of error.</p>

<p>However, the stars on the <em>very same page</em> in the GWAV&#8217;s journal are wrong <em>wrong</em> <em>wrong</em>.  Those are clearly regular hexagrams in the illustration, 1.73:1 six-pointed stars. I&#8217;m going to have to send them a letter.</p>
]]></content:encoded>
			<wfw:commentRss>http://introvert.net/blog/2005/03/07/continuing-obsessive-coverage-of-chicago-stars/feed/</wfw:commentRss>
		<slash:comments>1</slash:comments>
		</item>
		<item>
		<title>another way to make chicago stars</title>
		<link>http://introvert.net/blog/2005/02/07/another-way-to-make-chicago-stars/</link>
		<comments>http://introvert.net/blog/2005/02/07/another-way-to-make-chicago-stars/#comments</comments>
		<pubDate>Mon, 07 Feb 2005 21:29:54 +0000</pubDate>
		<dc:creator>tew</dc:creator>
				<category><![CDATA[chicago]]></category>
		<category><![CDATA[cities]]></category>
		<category><![CDATA[flag]]></category>
		<category><![CDATA[stars]]></category>
		<category><![CDATA[thinking]]></category>

		<guid isPermaLink="false">http://introvert.net/blog/2005/02/07/another-way-to-make-chicago-stars/</guid>
		<description><![CDATA[Building on <a href="http://introvert.net/blog/2004/04/17/what-is-the-deal-with-the-stars-on-the-chicago-flag/">previous work</a>:

<div style="width: 225px; float: left;">
<img style="vertical-align: top; margin-top: 10px" src="/images/2005/02/basic-pentagram" alt="a basic pentagram"/><br />
A regular pentagram
</div>

<div style="width: 225px; float: left;">
<img style="vertical-align: top; margin-top: 10px" src="/images/2005/02/pentagram-golden" alt="pentagrams have golden triangles for points"/><br />
has golden triangles for</div>&#8230;]]></description>
			<content:encoded><![CDATA[<p>Building on <a href="http://introvert.net/blog/2004/04/17/what-is-the-deal-with-the-stars-on-the-chicago-flag/">previous work</a>:</p>

<div style="width: 225px; float: left;">
<img style="vertical-align: top; margin-top: 10px" src="/images/2005/02/basic-pentagram" alt="a basic pentagram"/><br />
A regular pentagram
</div>

<p><div style="width: 225px; float: left;">
<img style="vertical-align: top; margin-top: 10px" src="/images/2005/02/pentagram-golden" alt="pentagrams have golden triangles for points"/><br />
has golden triangles for points.
</div>
<hr style="clear: both; visibility: hidden;" />
<div style="width: 225px; float: left;">
<img style="vertical-align: top; margin-top: 10px" src="/images/2005/02/pentagram-filled" alt="pentagrams have five points"/><br />
There are five of them,
</div>
<div style="width: 225px; float: left;">
<img style="vertical-align: top; margin-top: 10px" src="/images/2005/02/pentagram-exploded-2" alt="when you strip off the points"/><br />
and if you peel them back,
</div>
<hr style="clear: both; visibility: hidden;" />
<div style="width: 225px; float: left;">
<img style="vertical-align: top; margin-top: 10px" src="/images/2005/02/pentagram-exploded-3" alt="and wrap it around a hexagon"/><br />
and wrap them around a regular hexagon,
</div>
<div style="width: 225px; float: left;">
<img style="vertical-align: top; margin-top: 10px" src="/images/2005/02/chicago-star-five" alt="it starts to look.."/><br />
and add one more point,
</div>
<hr style="clear: both; visibility: hidden; "/>
<div style="width: 225px; float: left;">
<img style="vertical-align: top; margin-top: 10px" src="/images/2005/02/chicago-star-full" alt="like a chicago star"/><br />
you end up with a Chicago star.
</div>
<hr style="clear: both; visibility: hidden;" /></p>
]]></content:encoded>
			<wfw:commentRss>http://introvert.net/blog/2005/02/07/another-way-to-make-chicago-stars/feed/</wfw:commentRss>
		<slash:comments>1</slash:comments>
		</item>
		<item>
		<title>what is the deal with the stars on the chicago flag?</title>
		<link>http://introvert.net/blog/2004/04/17/what-is-the-deal-with-the-stars-on-the-chicago-flag/</link>
		<comments>http://introvert.net/blog/2004/04/17/what-is-the-deal-with-the-stars-on-the-chicago-flag/#comments</comments>
		<pubDate>Sat, 17 Apr 2004 08:15:00 +0000</pubDate>
		<dc:creator>tew</dc:creator>
				<category><![CDATA[chicago]]></category>
		<category><![CDATA[flag]]></category>
		<category><![CDATA[stars]]></category>
		<category><![CDATA[thinking]]></category>

		<guid isPermaLink="false">http://introvert.net/blog/2004/04/17/what-is-the-deal-with-the-stars-on-the-chicago-flag/</guid>
		<description><![CDATA[The flag of the city of Chicago is rich in history and symbolism.  In fact, the <a href="http://www.chipublib.org/004chicago/flagcode.html">municipal code</a> specifies, in some detail, the design and meaning of each of the flag&#8217;s elements.  However, the code also leaves much to&#8230;]]></description>
			<content:encoded><![CDATA[<p>The flag of the city of Chicago is rich in history and symbolism.  In fact, the <a href="http://www.chipublib.org/004chicago/flagcode.html">municipal code</a> specifies, in some detail, the design and meaning of each of the flag&#8217;s elements.  However, the code also leaves much to interpretation, especially the shape and placement of the stars.</p>

<blockquote><p>There shall be four bright red stars with sharp points, six in number, set side by side, close together, next to the staff in the middle third of the surface of the flag.</p></blockquote>

<p>So we&#8217;ve got four stars with six sharp points, close together. Here are a few interpretations of this instruction from around the web.</p>

<p><img src="/images/2004/04/chicago_stars/stars-police" alt="a slightly pointy star of david" /> <img src="/images/2004/04/chicago_stars/stars-chipublib" alt="somewhat pointer, but still looking pretty regular" /> <img src="/images/2004/04/chicago_stars/stars-wikipedia" alt="probably the same star as above" /> <img src="/images/2004/04/chicago_stars/stars-police2" alt="just a plain old hexagram" /></p>

<p>The first is from a <a href="http://www.chicagofirestore.com/products/7106-detail.html">patch</a> the Chicago Fire sell.  Next we have the stars from the Chicago Public Library <a href="http://www.chipublib.org/004chicago/chiflag.html">information on the flag</a> page.  Then the stars from Wikipedia&#8217;s <a href="http://en.wikipedia.org/wiki/Chicago#Municipal_Flag_of_Chicago">Chicago Flag entry.</a> Finally, the stars from an eBay auction of an &#8220;authentic&#8221; Chicago Police flag patch.</p>

<p>All of the above representations are very nearly perfect <a href="http://mathworld.wolfram.com/Hexagram.html">hexagrams</a> .  The star polygon {6/2} is made from six points, equally spaced upon a circle, connected via straight lines.  It&#8217;s also known as the &#8220;Star of David&#8221;, and you may recognize it as the preeminent symbol of Judaism.  Would the points of the hexagram be characterized as &#8220;sharp?&#8221;  Not compared to the <a href="http://mathworld.wolfram.com/Pentagram.html">pentagram</a>, which you may recognize as the &#8220;normal&#8221; five-pointed star.</p>

<p>The pentagram has a &#8220;pointy&#8221; angle of 36 degrees (more about this angle later), but the hexagram is somewhat dull, with only a 60 degree point. Fortunately, most actual Chicago <em>flags</em> feature a, um, pointier star.</p>

<p><img src="/images/2004/04/chicago_stars/stars-actualflag" alt="very nicely pointy" /> <img src="/images/2004/04/chicago_stars/stars-american_flag_co" alt="perfect, in my estimation" /></p>

<p>The first is from an <a href="http://www.sarahjanerhee.com/deliberatelyrandom/2002_11_01_bloggerarchive.html#85660741">actual photograph of an actual flag</a> , flying in front of a downtown church.  The other is from eBay auctions of real flags.</p>

<p>These stars are considerably sharper or &#8220;pointier&#8221; than the regular Star of David.  To my eye, they look much more &#8220;Chicago&#8221; than the more regular 6-pointed stars.  How much pointier should the stars be?  Well, I&#8217;ve come up with a system by which we can derive the proper shape of the Chicago flag&#8217;s star, and I&#8217;ll suggest it as <em>the future standard by which all Chicago flag stars should be constructed</em>.</p>

<p>First, consider the pentagram.  We can all agree that its points are &#8220;sharp&#8221; and its proportions are pleasing.  Interestingly, its points are <a href="http://mathworld.wolfram.com/GoldenTriangle.html">golden triangles</a>, well known to be pleasing to the eye.  Let us construct a six-pointed star according to the same pleasing principles.</p>

<p>First, construct a regular hexagram:<br />
<img src="/images/2004/04/chicago_stars/stars-tew-hexagram" alt="a hexagram inscribed in a circle" /></p>

<p>Using the hexagon produced inside, plan a golden triangle as the point.<br />
<img src="/images/2004/04/chicago_stars/stars-tew-goldenratio" alt="an isoceles triangle with a 36 degree point" /></p>

<p>Multiply this triangle for each face of the hexagon and fill with red.<br />
<img src="/images/2004/04/chicago_stars/stars-tew-proper" alt="a proper chicago star" /></p>

<p>Here we have what I think are the proper proportions for the Chicago star.  It is certainly distinct from the Star of David, but is also founded upon geometrical principles and resembles in proportion (golden proportion!) the five-pointed stars we know so well.  </p>

<p>I&#8217;ve also helpfully calculated the ratio between the inner and outer radii.  The outer radius (the circumradius) is 2.4 times the length of the inner radius (which, in Adobe parlance, is the circle which intersects the points of concavity, not the <a href="http://mathworld.wolfram.com/Incircle.html">incircle</a> of the hexagon).  I won&#8217;t show my work here, but let me tell you, it was a pretty good review of sophomore year trig to get this number. Now that I&#8217;ve done all the work, you can use Adobe Illustrator to create these stars effortlessly.  Here&#8217;s the relevant dialog box:<br />
<img src="/images/2004/04/chicago_stars/stars-illustrator-dialog" alt="a dialog box from Adobe illustrator showing the right settings" /></p>

<p>Please feel free to call or write to <a href="http://www.ci.chi.il.us/CityCouncil/">your alderman</a> about this issue.  Let&#8217;s get this taken care of, Chicago!</p>
]]></content:encoded>
			<wfw:commentRss>http://introvert.net/blog/2004/04/17/what-is-the-deal-with-the-stars-on-the-chicago-flag/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
		</item>
	</channel>
</rss>

