In “The New Geometry” (2003–05) I present a system of geometry with global scope, an in-depth exploration of the notion of the Axis of Evil. The Axis of Evil, of course, was first unveiled in the 2002 State of the Union address, in which G.W. Bush introduced a basic version consisting of Iran, Iraq, and North Korea—countries not only allegedly promoting violence against the United States and harbouring weapons of mass destruction but also falling along a single, straight cartographic line. Later work at the State Department revealed that the line could be extended further West, in fact all the way to Cuba. The discovery was fundamental: The capitals of Cuba, Iraq, Iran, North Korea—and for that matter Syria, as well—form a single line: the Axis of Evil. The New Geometry consists of a series of display plates, school maps, black boards, and a computer presentation illustrating the twenty axioms of The New Geometry.