There are a few additions in the German article (https://de.wikipedia.org/wiki/Streichholzgraph). There exist also four new articles (not published) on matchstick graphs and a free software for constructing, testing, animating or calculating matchstick graphs.
On the existence of 4-regular matchstick graphs. https://arxiv.org/abs/1705.00293
A catalogue of 4-regular and (2,4)-regular matchstick graphs. https://arxiv.org/abs/1705.04715
Minimal completely asymmetric (4,n)-regular matchstick graphs. https://arxiv.org/abs/1609.06972
Approximate Solutions of 4-regular Matchstick Graphs with 50-62 Vertices. https://arxiv.org/abs/1906.11908
A catalog of 3-regular matchstick graphs of girth 5 consisting of 54 – 68 vertices. http://mikematics.de/catalog-3reg-girth5.pdf
Matchstick Graphs Calculator (MGC) - a software for the construction and calculation of matchstick graphs http://mikematics.de/matchstick-graphs-calculator.htm