On October 16th of 1843 a mathematician called William Rowan Hamilton crossed a bridge in Dublin when all of a sudden he was struck with the solution to a problem he had been working on for many years. He became so enthusiastic that he cut his famous equation for a new type of number he called a quaternion into the stone of the bridge: "i^2=j^2=k^2=ijk=-1." Quaternions, among other things, make rotating objects through arbitrary orientations in a 3D space possible. We have Hamilton to thank for making it possible to safely land on the moon. In fact we have Hamilton to thank for making our WebGL powered 3D engine work at StackState.
At times, the ability to get an insight of such complexity seems to me to require a superhuman amount of genius. Yet I recognize that Hamilton, that day on the bridge, had simply arrived at a critical point after a long and arduous journey. The end of one stage of the journey and the beginning of another. Once given enough background information on what Hamilton was exploring mentally, the equation that marks the completion of that stage of the journey, though still highly impressive, is not beyond human capability.