Example of Wordpress for main site, Rails app in subdomain?

Can anybody point me to an example of a website that uses wordpress as
the main content management and a rails app within a subdomain?

www.domain.com would be a wordpress installation.
subdomain.domain.com would be a rails application.

I’m thinking of using the rails app to handle all forms and dynamic
views of data, etc.

I have a rails app that looks horrible (I’m not a designer) and I’m
hoping that incorporating wordpress will allow me to easily leverage a
free wordpress theme and re-use the CSS in my rails app so that it
feels like one big application…

I’m aware of being able to put wordpress within the /public/blog
directory, but I just need a CMS with several static pages, it’s not
actually a blog that is frequently updated.

Thanks for any ideas!