Historically, photonic crystals and the concept of photonic bandgap were introduced in the seminal works of Yablonovitch and John in the 1980s. Even if natural examples exists (for instance in the blue iridescent wings of the Morpho butterfly), the first experimental realizations were done in the microwave regime by drilling holes in epoxy resin, and over the last 15 years, significant progresses in the micro and nano fabrication have been achieved enabling the availability of 3D materials with gaps or pseudo-gaps in the near-infrared. Nevertheless, despite a considerable amount of work reporting the measurement of photonic band gaps in different regimes (optical, infrared or microwave), an explanation of when to expect or not to expect a band gap is still lacking. Furthermore, even when a bandgap does exist, it is unclear exactly at which frequency it will occur and how wide it will be. Using bandgap computation to compute the bandgap frequency and width fluctuations in two-dimensional hyperuniform dielectric materials, we propose to explore the idea of a possible continuous phase transition in the appearance of the bandgap using finite size scaling.