I know the tree is different, but I mention it because they put out some software, named Dryad, that let you explore the latent space of tree parameters - leaf shape, branch angle, etc. And the default tree was one that resembled the mascot. The software was discontinued and I guess the standard Stanford Tree model never took off.

Edit: I can't find it available for download anywhere, so I put my copy on the Internet Archive. https://archive.org/details/stanford-dryad It will take some tweaking to get it to run on newer Windows versions. You can see the Stanford Tree model right in the center of the screenshot on the right here: https://news.stanford.edu/news/2008/january9/dryad-010908.ht...