Welcome to mikematics
On this website I present some of my work, thoughts and ideas on selected topics in mathematics. These range from conjectures over abstract ideas to rigorous proofs. My work is mostly in the areas of number theory, combinatorics and discrete geometry, including graph theory. If a problem has grabbed me, I worked on it over many years. My favorite topics are the 3x + 1 problem, regular matchstick graphs and aperiodic tilings.
In the hope to enrich the mathematical world a little bit, enjoy reading and exploring.
Mike Winkler
Me and Joy
in the stable
Latest research
Approximate Solutions of 4-regular Matchstick Graphs with 50 – 62 Vertices (June 2020)
4-regular planar unit triangle graphs without additional triangles (November 2019)
Generating non-periodic tilings in the form of a spiral by using a decorated monotile (September 2019)
A 3-regular matchstick graph of girth 5 consisting of 54 vertices. (March 2019)
Please view the matchstick graphs with the