4 problems

Lower-dimensional volume conjecture. A $d$-dimensional volume for an $m$-dimensional object, where $d<m$, undergoing a fragmentation process follows the Benford distribution for th…

Rectangle-perimeter conjecture. The perimeters of the sub-rectangles from a rectangle undergoing an unrestricted fragmentation process converge to Benford behavior.

One-piece fragmentation conjecture. If only one piece is fragmented at a time, the resulting pieces still converge to Benford behavior.

Lower-dimensional volume conjecture. Even lower-dimensional volumes under the unrestricted fragmentation process follow Benford's Law.