This is the symbol for infinity on its side.
Half of infinity would be infinity.
It also looks like two zeroes kissing, one above the other. In a fraction, 0/0 is considered by purists to be "undefined." But I explored in a hub on numbers the possibility that 0/0 indicates a connection between 0, 1 and infinity.
In college calculus class, the teacher once wrote on the board a function and the derivative of that same function. Then he graphed the derivative. The resultant graph still gives me goose bumps. It showed a line at the x-axis, except a discontinuity at x=0. At that point, the value of y was +/- infinity. Why goose bumps? It took me awhile to understand, but my experiences with miracles gave me my answer: At all values of Ego other than zero, the being has zero direct control over the physical universe (control only through physical methods). At zero Ego, the being has infinite control over physical reality.