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We analyze new V-band images of 14 dwarf S0 galaxies and 10 dwarf elliptical galaxies in the Virgo Cluster, in combination with R-band images of 70 dwarf elliptical galaxies from an earlier paper. We compute the intensity-weighted mean ellipticity, the mean deviations from elliptical isophotes, and a newly deÐned parameter to measure isophotal twists. We also Ðt each major-axis proÐle to a power law where n is allowed to vary. Consistent with other studies of the Virgo dwarf ellip-&(a)P exp [[(a/a s)n], ticals, we Ðnd that the proÐle shapes for the entire sample is strongly peaked near n \ 1 (exponential proÐles) and that no galaxies have n \ 1/4 (de Vaucouleurs proÐle). The faintest galaxies all have nearly exponential proÐles, while the brighter ones on average have n \ 1. The correlation between ellipticity and the boxy/disky parameter is similar to that of large elliptical galaxies, suggesting that dwarfs may also be divided into two groups with diering internal dynamics. The Virgo dEs also show a greater degree of isophotal twisting than more luminous elliptical galaxies. There does not seem to be any com-bination of parameters from the surface photometry that statistically correlates with the dE/dS0 design-ation: in particular, the dS0 galaxies do not, on average, have more pointed (disky) isophotes than the dEs