Controlling where and when self-assembly happens is crucial in both biological and synthetic systems as it optimizes the utilization of available resources. We previously reported strictly seed-initiated linear crisscross polymerization with alternating recruitment of single-stranded DNA slats that are aligned in a parallel versus perpendicular orientation with respect to the double-helical axes. However, for some applications, it would be advantageous to produce growth that is faster than what a linear assembly can provide. Here, we implement crisscross polymerization with alternating sets of six parallel slats versus six perpendicular slats and use this framework to explore branching behavior. We present architectures that, respectively, are designed to exhibit primary, secondary, and hyperbranching growth. Thus, amplification via nonlinear crisscross polymerization can provide a route for applications such as low-cost, enzyme-free, and ultrasensitive detection.