  The morphologies of genus-2 to -8 fluid vesicles are studied by using
dynamically triangulated membrane simulations with area-difference elasticity.
It is revealed that the alignments of the membrane pores alter the vesicle
shapes and the types of shape transitions for the genus $g \ge 3$. At a high
reduced volume, a stomatocyte with a circular alignment of $g+1$ pores
continuously transforms into a discocyte with a line of $g$ pores with
increasing intrinsic area difference. In contrast, at a low volume, a
stomatocyte transforms into a ($g+1$)-hedral shape and subsequently exhibits a
discrete phase transition to a discocyte.
