Comparison of randomly
shaped propellers from solution synthesis with previously published
nanofabricated propellers. The dimensionless speeds of nanofabricated
propellers are shown in increasing order as in Supporting Information Figure S3 (Zhang et al.,11 Li et al.,35 Schamel
et al.,18 Schuerle et al.,33 Gao et al.,34 Walker et al.,22 Tottori et al.,23 Peters et al.,32 Ghosh et al.,17 Zhang et al.16).
(a) The absolute value of dimensionless speeds of the random shapes
and the dimensionless speed values from the literature are assigned
a propeller number, by sorting the values in ascending order. The
dimensionless speed of both random shapes and nanofabricated propellers
is then plotted against the propeller number. The propeller number
of a nanofabricated propeller is thus an indication of how many random
shapes (from the set of the 512) have a lower dimensionless speed.
(b) The distribution of absolute dimensionless speed values is displayed
as a histogram. The scale of |Uy| is the same as in (a). The multiples of the standard deviation
of Uy are displayed as
horizontal green lines. Assuming a Gaussian distribution, 68% of random
shapes have dimensionless speeds lower than the one standard deviation,
95% lower than two, and 99.7% lower than three standard deviations.