# Does the cubic planar graph with 6 3-faces and 6 7-faces have a name?

There is exactly one cubic planar graph with six 3-faces and six 7-faces (and no other faces). Surely it must have a name. What is it called?

Here is a picture of the graph embedded on the plane with a point at infinity:

A slightly more general question: How can I find out what the names are of semi-famous graphs? A graph is semi-famous if it has an established name but is not easily found in a standard textbook on the subject.

I did try the House of Graphs by searching using their drawing tool, but found nothing.

-

Unfortunately I don't have an answer to your question, but I would call it a "partially truncated cube", where the non-truncated vertices are opposite. Accordingly, you could say that it is constructed from the truncated cube by performing a $\Delta$-$Y$ contraction on two maximally distant triangles. I'm moving this comment to an answer in order to attach a picture of the truncated cube: