Yup, totally procedural; intensity, size, and offsets are all driven by noise algorithms. At some point I'd like to add export/import of the seeds so that people can share their "universe".
And as long as your cow is in a good place, don't be afraid to explore on your own! She'll just keep eating in the background, and if you get worried you can always click the cow button at the top to zip right back.
(Just a heads up, the universe currently has an "edge". I intend to fix that eventually, and make the map wrap around, to make it both more interesting and easier to explore)