Some of President Trump’s most ardent fans online say that North Dakota’s governor, Doug Burgum — one of many potential vice presidential candidates — should be put on this year’s GOP ticket for one simple fact: He looks like what artificial intelligence says a modern George Washington would look like. 

The joke that Mr. Burgum looks like the nation’s founding father began spreading online during his own presidential campaign last year, when X users pointed out that the governor resembled some AI-rendered images of what Washington might look like if he were alive today.