Tutte’s map conversion (1/2)


CORRECTED!

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.

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