### GPOYW: Instantiation Edition

Today, I’d rather be something else. Here are some gratuitous photos of things which share my name and perhaps a few attributes; not included are Mills Lane, former Saints player Sam Mills, or the Mills Corporation, which developed shopping malls.

One:

Mills bomb: ”The Mills was a classic design; a grooved cast iron ‘pineapple’ with a central striker held by a close hand lever and secured with a pin. Although the segmented body helps to create fragments when the grenade explodes, according to Mills’ notes, the casing was grooved to make it easier to grip and not as an aid to fragmentation. The Mills was a defensive grenade: after throwing the user had to take cover immediately. A competent thrower could manage 30 meters with reasonable accuracy, but the grenade could throw lethal fragments further than this.”

Two:

Mills (crater): “Mills is a relatively small crater that lies on the far side of the Moon… This is an undistinguished impact crater that is roughly circular in form, with a slight outward bulge to the northwest. This bulge may be due to the merger of a smaller impact with the rim. The rim edge is somewhat worn, with indistinct features and a few tiny craterlets along the edge.”

Three:

Mills’ constant: “In number theory, Mills’ constant is defined as the smallest positive real number A; such that the integer part of the double exponential function

$A^{3^{n}}\;$

is a prime number, for all positive integers n… Its value is unknown…”