2012/03/12 by Finch, Steven R.
#33C05 #33E05 (Secondary) #51M20 #52A10 #52A15 #52A38 #60D05 (Primary) 51M04 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Metric Geometry (math.MG) #Probability (math.PR)
paper · doi:10.48550/arxiv.1203.2464
Consider random shadows of a cube and of a regular tetrahedron. Area and perimeter of the former are positively dependent (with correlation 0.915...), whereas area and perimeter of the latter appear to be negatively dependent. This is only one result of many, all involving generalizations of mean width.