Fig. 5. Illustration of the balancing search strategy in 2 dimensions, enforcing a
fully balanced mesh across all m-faces. Highlighted in red are the 2 2 corner boxes
of atoms adjacent to each corner of the orthotope to balance. The red dashed lines
indicate the refinements that are enforced by the balancing. (For interpretation of
the references to color in this figure legend, the reader is referred to the web version
of this article.)