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, nonperiodic tilings and Heesch’s problem. In addition to math, I’m an keen cyclist and horse lover, I create websites, play and teach piano and guitar, swim a bit, and occasionally paint.

Have fun reading and exploring this website.

Mike Winkler

Highlander & Mike 17.06.2021
Highlander & me

Latest research

Please view the matchstick graphs with the