If you take your 4 sided good luck reverse corner crown variant and instead of crowning first in the counter clockwise direction (this one started with crowning in the clockwise direction) then flip it over, and crown the corner loops (clockwise in this case). The result is symmetric with the front and back looking the same. Of course, substantially the same result can be obtained by crowning in the counter clockwise direction both times instead.
This is a variant, not in the book (and arrived at by accident), but I think worthy and aesthetically pleasing.
Books mentioned in this post: