We helped put a man on the moon! (And satellites into space). The Apollo missions could not have happened without a type of algebra invented in 1843 by William Rowan Hamilton. Engineers use Hamilton’s “quaternions” to calculate an object’s position in space and time. On the Apollo missions, one astronaut would be responsible for doing the quaternion calculations throughout the mission. These calculations are still used to orient spacecraft, and now also in 3D computer graphics.