<p>Hexagonal honeycombs integrated with the Miura-ori pattern are known for their energy absorption capabilities. However, establishing a direct, intuitive analytical link between their geometric parameters and out-of-plane performance is challenging. This study addresses this gap by employing dimensional analysis to characterize the out-of-plane energy absorption of this structure. By analyzing the structure’s deformation mode, three physically significant dimensionless numbers are identified, leading to the derivation of a dimensionless formula that predicts its energy absorption performance. The study reveals that the structural parameters, in descending order of their influence on performance, are cell wall thickness (<i>t</i>), cell wall length (<i>l</i>), line-plane angle (<i>α</i>) and inclined side length (<i>v</i>). Furthermore, the influence of the inclined side length (<i>v</i>) is significantly attenuated in structures with a small folding degree (less than 0.1<i>l</i>). A key contribution of this work is the development of an explicit power-law expression. In contrast to complex integral forms, this concise analytical formula not only offers an intuitive guide for parameter sensitivity but also defines the equivalent yield stress for reduced-order modeling (ROM). By treating the complex cellular structure as a homogenized continuum, it significantly facilitates rapid preliminary design and iterative optimization.</p>