The triangular enhancement of the rapidity distribution of hadrons produced in p+A reactions relative to p+p is a leading order in A^{1/3}/log(s) violation of boost invariance. In A+A reactions this leads to a trapezoidal enhancement of the local rapidity density of gluons. The local rapidity gradient leads to an effective rotation in the reaction plane. We propose that three dimensional jet tomography, correlating the rapidity and azimuthal dependences of the nuclear modification factor, R_{AA}, can be used to look for this intrinsic boost violating structure of $A+A$ collisions to image the produced twisted strongly coupled quark gluon plasma (sQGP). In addition to dipole and elliptic azimuthal moments of R_{AA}, a significant high p_\perp octupole moment is predicted away from midrapidity. The azimuthal angles of maximal opacity and hence minima of R_{AA} are rotated away from the normal to the reaction plane by an `Octupole Twist' angle, \theta_3(\eta), at forward rapidities.