Four Corners
Six governments have jurisdictional boundaries at the Four Corners Monument: the states of Arizona, Colorado, New Mexico, and Utah, as well as the tribal governments of the Navajo Nation and Ute Mountain Ute Tribe. The Four Corners Monument itself is administered by the Navajo Nation Department of Parks and Recreation. Other tribal nations within the Four Corners region include the Hopi and other Ute. The Four Corners is home to the capital of the Navajo tribal government at Window Rock, Arizona. The Ute Mountain Ute Tribal headquarters are located at Towaoc, Colorado.
Conjecture
In mathematics, the four color theorem, or the four color map theorem, states that, given any separation of a plane into contiguous regions, producing a figure called a "map", no more than four colors are required to color the regions of the map so that no two adjacent regions have the same color. Two regions are called "adjacent" if they share a common boundary that is not a corner, where corners are the points shared by three or more regions. For example, in the map of the United States of America, Utah and Arizona are adjacent, but Utah and New Mexico, which only share a point that also belongs to Arizona and Colorado, are not.