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Photographic gallery.  Thousands of particles under the microscope.

Roundness

One simple deffinition of roundness is the maximum ferret minus the minimum ferret of the particle. For a circle this is equal to "0". Another measure is the projected area of the particle divided by the area of the smallest enclosing (circumscribing) circle. A perfect circle would result in a value of "1". The sum of all the inclosed radii for each corner on a particle divided by the number of corners (the average radius for the sum of radii for all corners) divided by the radius of the maximum enclosed circle can result in a number of shapes being equal to a circle though they don't look like a circle. They would be neccessarily rounded. There are a number of other ways to calculate a value for roundness. The six subjective classes generally suffice but some measurements are provided below.

. . . Maximum Enclosed Circle Radius/Minimum Circumscribed Circle Radius

Tourmaline, Hilton Head Pumice from Mt. St Helen Eruption Zircon from Hilton Head SC Rutile
VALUES. . . 0.61 . . . . . . . . . . . . . . 0.27 . . . . . . . . . . . . 0.82 and 0.34 . . . . . . . . . . 0.54

. . . Average Corner Radius/Maximum Enclosed Circle Radius

Tourmaline, Hilton Head Pumice from Mt. St Helen Eruption Zircon from Hilton Head SC Rutile
VALUES. . . 0.17 . . . . . . . . . . . . . . 0.13 . . . . . . . . . . . . 0.73 and 0.43 . . . . . . . . . . 0.55