Monthly Archives: June 2018

Chromatic number of the plane roundup

I’ve had fun writing about the Hadwiger-Nelson problem to determine the chromatic number of the plane, but I think this will be my last post on the topic for now! More 7-colorings Of course, the original point of the hexagonal … Continue reading

Posted in geometry | Tagged , , , , , , , , | 7 Comments

Some words on PWW #22

There are lots of patterns to be found in the picture from my previous post! This is a really remarkable tiling. Here are a few special properties I know of: First of all, I hope you realized that the pattern … Continue reading

Posted in geometry, pattern | Tagged , , , | 9 Comments

Post without words #22

Image | Posted on by | Tagged , , , , , | 13 Comments

The Math Less Traveled on Patreon!

tl;dr: I’ve just created a Patreon page where you can pledge to support The Math Less Traveled with a small monthly donation and become part of a community that will help shape future posts and topics! I’ve been writing this … Continue reading

Posted in meta | Tagged , ,

The chromatic number of the plane, part 4: an upper bound

In my previous posts I explained lower bounds for the Hadwiger-Nelson problem: we know that the chromatic number of the plane is at least 5 because there exist unit distance graphs which we know need at least 5 colors. Someday, … Continue reading

Posted in geometry, proof | Tagged , , , , , ,