Welcome to mikematics
On this website I present some of my ideas, conjectures and proofs on selected topics in mathematics. My work is mostly in the areas of number theory, combinatorics and discrete geometry, including graph theory. If a problem has grabbed me, I work 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 a keen cyclist and horse lover, play piano and guitar, swim a bit, and occasionally paint.
Have fun reading and exploring this website.
A 3-regular matchstick graph of girth 5 consisting of 54 vertices. (November 2019)