  The magnetograms of sixteen Active Regions, observed during June - November
2015, were obtained from the Joint Science Operations Center and used to
determine the fractal dimensions of various magnetic field groups. The fields
were divided into strong (positive and negative) and weak (positive and
negative) groupings. The area-perimeter method was used to determine the
fractal dimensions for the umbral and penumbral regions of the magnetograms.
The fractal dimensions were found to be 1.79 \pm 0.49 and 1.96 \pm 0.29 for
strong and weak magnetic fields respectively. When compared to the umbral and
penumbral fractal dimensions determined by (Rajkumar, Haque and Hrudey, 2017)
using white light images, an inverse relationship was found, with the umbra
showing lower fractal dimensions than the penumbra for the magnetic field
groups compared to the intensity images. This directly implies that there is
greater complexity in the penumbral magnetic field groupings than the umbral
region. This has implications for models that constrain how the magnetic field
groups are contained in the cooler umbral regions.
