I'm not terribly familiar with the code to add icons for iOS (and Android) when you select "Add to Home Screen", but I used the following, based on what I read:
<link rel="apple-touch-icon-precomposed" href="http://www.redtypewriter.com/wp-content/uploads/2014/03/57.jpg"/>
<link rel="apple-touch-icon-precomposed" sizes="72x72" href="http://www.redtypewriter.com/wp-content/uploads/2014/03/72.jpg"/>
<link rel="apple-touch-icon-precomposed" sizes="114x114" href="http://www.redtypewriter.com/wp-content/uploads/2014/03/114.jpg"/>
The code seems to work, but after I add it to my home screen, after some time, the icon disappears and I'm left with a black square in place of the icon? What's happening? The site is: http://www.redtypewriter.com/ if you want to take a look, and I am using a custom WordPress theme.
Thanks!