Tutte’s map conversion (1/2)


All regular maps can be topologically transformed into rectangular of circular maps (see T2).

This is the conversion of Tutte’s map, made by hand, into a rectangular map. The colored and computerized version will follow.

These conversion are done just for fun and have not theoretical interest. The theorem in T2 proves that all regular maps (basically all maps of interest to the four color theorem) can be converted into circular of rectangular maps.

Tutte’s map on the left and the map made of rectangles right below it, are exacly the same map. Face number 25 correspond to the surrounding area (the ocean) of the rectangular map.


About stefanutti

V: "Do you know me?" S: "yes." V: "No you don't." S: "Okay." V: "Did you see my picture in the paper?" S: "Yes." V: "No you didn't." S: "I don't even get the paper."
This entry was posted in Uncategorized and tagged , , , , , , , , . Bookmark the permalink.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s