Welcome to mikematics
Hello and welcome to my private math pages. My name is Mike Winkler, also known as mikematics. I am a mathematician and live on a horse farm on the German North Sea coast. On this website I present some of my ideas, conjectures and proofs on selected mathematical topics from my private research, which I do entirely non-commercially in my spare time. When a problem grabs me, I work on it for many years. My favorite topics are the 3x + 1 problem, regular matchstick graphs, nonperiodic tilings and Heesch’s problem. Besides math, I love horses and cycling, play the piano and guitar, swim and paint occasionally.
Have fun reading and exploring this website.
Mike Winkler
Latest research and publications
The currently two best approximations of 4-regular matchstick graphs with 62 vertices (February 2024)
Two new 4-regular matchstick graphs with 66 vertices (January/February 2024)
The currently two best approximations of 4-regular matchstick graphs with 61 vertices (June 2023)
Aperiodic Sets of Prototiles Extracted from the Penrose Rhomb Tiling (December 2022)
The currently best approximation of a 4-regular matchstick graph with 52 vertices (November 2021)
Approximate Solutions of 4-regular Matchstick Graphs with 50 – 62 Vertices (October 2020)
A 3-regular matchstick graph of girth 5 consisting of 54 vertices. (November 2019)
4-regular planar unit triangle graphs without additional triangles (October 2019)