The name is essentiallly a geometry joke. The IBM System/360 line of mainframes (1964) revolutionized the computer industry with the concept of one family of computers for all applications: business and scientific. (Before the 360, nobody considered compatibility, so different computer models were entirely incompatible, which was a mess.) The name symbolized that System/360 covered the full 360º of applications.

The 4 Pi name extended this idea to applications in the 3-dimensional world: 4π is the number of steradians making up a full sphere. As IBM put it, "System/4 Pi also fills a sphere—the full spectrum of military computer needs—for airborne, space, or shipboard use."

Nothing too interesting I’m afraid. The unit I was in was responsible for the 4 pi software on the E-3 AWACS. If memory serves, this was right about the time of block 30/35 rollout. I looked recently and they’re running much newer, better computers these days (it’s been 30 years, now I feel old).

We used to say that the computers were so heavy that the E-3 was routinely taking off over its maximum takeoff weight :). Another likely bit of BS. But it did take that old bird well over a minute of takeoff roll to get airborne, which is weird when you are used to airliners. I did not regularly get to ride in one, we mostly used a 4 pi in our E-3 simulator. Did a lot of “external testing” which was mostly very tedious but we did get to talk to interesting people.