How does Stack Overflow auto-generate the gravatars for those users who do not upload a picture or who have not created a Gravatar icon?
Where do these random avatars come from, and how can I generate them for my own site?
The 'random' colorful gravatars are displayed because this query string parameter is being added to every gravatar source URL: d=identicon
This is done so that if the user doesn't have a gravatar image associated with his email, this 'random' image is displayed, instead of the default blue gravatar image.
The following displays the 'default' blue image because the parameter is not included:
Yet, the same URL with the d=identicon
parameter included, shows this:
This is the URL used for the example: https://www.gravatar.com/avatar/94d093eda664addd6e450d7e9881bcad?s=32&d=identicon&r=PG
By the way these images (called Identicons) are not really random, but are generated based on the email hash.
See How is the default user avatar generated? for some Language Implementations of this algorithm.