[ExI] New pentagon tiling discovered

[spike]

From: extropy-chat [mailto:extropy-chat-bounces at lists.extropy.org] On Behalf Of spike
Sent: Monday, August 17, 2015 8:22 AM
To: 'ExI chat list'
Subject: Re: [ExI] New pentagon tiling discovered

 

 

>… On Behalf Of Dan
Subject: [ExI] New pentagon tiling discovered

 

http://www.theguardian.com/science/alexs-adventures-in-numberland/2015/aug/10/attack-on-the-pentagon-results-in-discovery-of-new-mathematical-tile

 

>…  Computers should have cameras set to record the human faces when they report results like this…spike

 

Dan this was me when I saw it:

 

https://jtriley2013.files.wordpress.com/2014/01/tongue-out.png?w=300

 

 

Consider the triangle CEB in this graphic:

 

cid:image002.jpg at 01D0D8CB.E7B4A240

 

 

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))).

 

So now, which is it please: is this the ugliest bathroom tile ever discovered, or the most beautiful?

 

Now is such a fun time to be a math geek.

 

spike

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