<html><head><meta http-equiv="content-type" content="text/html; charset=utf-8"></head><body dir="auto"><div>On Aug 17, 2015, at 9:33 AM, "spike" <<a href="mailto:spike66@att.net">spike66@att.net</a>> wrote:</div><blockquote type="cite"><div class="WordSection1"><p class="MsoNormal" style="font-family: 'Times New Roman', serif;"><span style="font-size: 11pt; font-family: Calibri, sans-serif; color: rgb(31, 73, 125);"> </span></p><p class="MsoNormal" style="font-family: 'Times New Roman', serif;"><span style="color: rgb(31, 73, 125); font-family: Calibri, sans-serif; font-size: 11pt;">Consider the triangle CEB in this graphic:</span></p></div></blockquote><blockquote type="cite"><div class="WordSection1"><p class="MsoNormal" style="font-family: 'Times New Roman', serif;"><span style="font-size: 11pt; font-family: Calibri, sans-serif; color: rgb(31, 73, 125);"> </span></p><p class="MsoNormal" style="font-family: 'Times New Roman', serif;"><span style="font-size: 11pt; font-family: Calibri, sans-serif; color: rgb(31, 73, 125);"><image004.jpg></span><span style="font-size: 11pt; font-family: Calibri, sans-serif; color: rgb(31, 73, 125);"><o:p></o:p></span></p><p class="MsoNormal" style="font-family: 'Times New Roman', serif;"><span style="font-size: 11pt; font-family: Calibri, sans-serif; color: rgb(31, 73, 125);"> </span></p><p class="MsoNormal" style="font-family: 'Times New Roman', serif;"><span style="font-size: 11pt; font-family: Calibri, sans-serif; color: rgb(31, 73, 125);"> </span></p><p class="MsoNormal" style="font-family: 'Times New Roman', serif;"><span style="font-size: 11pt; font-family: Calibri, sans-serif; color: rgb(31, 73, 125);">Side length CE is sqrt(2)/2. EB comes out to sqrt(3)/4. (Not kidding, see for yourself.) The third side is 1/((sqrt(2)((sqrt(3)-1))).<o:p></o:p></span></p><p class="MsoNormal" style="font-family: 'Times New Roman', serif;"><span style="font-size: 11pt; font-family: Calibri, sans-serif; color: rgb(31, 73, 125);"> </span></p><p class="MsoNormal" style="font-family: 'Times New Roman', serif;"><span style="font-size: 11pt; font-family: Calibri, sans-serif; color: rgb(31, 73, 125);">So now, which is it please: is this the ugliest bathroom tile ever discovered, or the most beautiful?<o:p></o:p></span></p><p class="MsoNormal" style="font-family: 'Times New Roman', serif;"><span style="font-size: 11pt; font-family: Calibri, sans-serif; color: rgb(31, 73, 125);"> </span></p><p class="MsoNormal" style="font-family: 'Times New Roman', serif;"><span style="font-size: 11pt; font-family: Calibri, sans-serif; color: rgb(31, 73, 125);">Now is such a fun time to be a math geek.<o:p></o:p></span></p><p class="MsoNormal" style="font-family: 'Times New Roman', serif;"><span style="font-size: 11pt; font-family: Calibri, sans-serif; color: rgb(31, 73, 125);"> </span></p><p class="MsoNormal" style="font-family: 'Times New Roman', serif;"><span style="font-size: 11pt; font-family: Calibri, sans-serif; color: rgb(31, 73, 125);">spike</span></p></div></blockquote><div><br></div><div>Spike: thanks for sharing your enthusiasm and more details about this finding. ;)</div><div><br><div><div style="font-size: 17px; line-height: normal; -webkit-tap-highlight-color: rgba(26, 26, 26, 0.301961); -webkit-composition-fill-color: rgba(175, 192, 227, 0.235294);"><font size="3"><span style="line-height: 20px; -webkit-tap-highlight-color: rgba(26, 26, 26, 0.294118); -webkit-composition-fill-color: rgba(175, 192, 227, 0.231373);">Regards,</span></font></div><div style="font-size: 17px; line-height: normal; -webkit-tap-highlight-color: rgba(26, 26, 26, 0.301961); -webkit-composition-fill-color: rgba(175, 192, 227, 0.235294);"><font size="3"><span style="line-height: 20px; -webkit-tap-highlight-color: rgba(26, 26, 26, 0.294118); -webkit-composition-fill-color: rgba(175, 192, 227, 0.231373);"><br></span></font></div><div><div style="font-family: UICTFontTextStyleBody; font-size: 17px; line-height: normal; -webkit-tap-highlight-color: rgba(26, 26, 26, 0.301961); -webkit-composition-fill-color: rgba(175, 192, 227, 0.235294); -webkit-text-size-adjust: auto;"><font size="3"><span style="line-height: 20px; -webkit-tap-highlight-color: rgba(26, 26, 26, 0.294118); -webkit-composition-fill-color: rgba(175, 192, 227, 0.231373);">Dan</span></font></div><div style="font-family: UICTFontTextStyleBody; font-size: 17px; line-height: normal; -webkit-tap-highlight-color: rgba(26, 26, 26, 0.301961); -webkit-composition-fill-color: rgba(175, 192, 227, 0.235294); -webkit-text-size-adjust: auto;"><span style="background-color: rgba(255, 255, 255, 0); font-family: '.HelveticaNeueInterface-Regular'; font-size: 13pt;"> Sample my Kindle books via:</span></div><div style="font-family: UICTFontTextStyleBody; font-size: 17px; line-height: normal; -webkit-tap-highlight-color: rgba(26, 26, 26, 0.301961); -webkit-composition-fill-color: rgba(175, 192, 227, 0.235294); -webkit-text-size-adjust: auto;"><a href="http://www.amazon.com/Dan-Ust/e/B00J6HPX8M/" target="_blank" style="font-family: '.HelveticaNeueInterface-Regular'; font-size: 13pt;">http://www.amazon.com/Dan-Ust/e/B00J6HPX8M/</a></div></div></div></div><style><!--
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