The previous post discussed the game Tetris and its tetronimo pieces. Let's now introduce hexonimoes. Hexonimoes—you guessed it—are each made from 6 square blocks.
According to Wikipedia, there are 60 hexonimoes. I couldn't find an image of them all, only of the 35 free hexonimoes (recall the definitions of free and grounded from the last post). The missing 25 are among their mirror images. (That means—to make the numbers add—10 below must be symmetric. You might like to identify them and their lines of symmetry)
Anyway, there's two species of hexonimo to which I'd like to introduce you.
The t-species hexonimo
The t hexonimo is calm and pensive. They like to read. The second image shows a t hexonimo with its feet up.
The F-species hexonimo
F hexonimos are boisterous. The second image shows an F hexonimo fallen on its face after a night drinking.
Astute readers will have made an observation: the t and F species of hexonimo are mirror images!
Two t species hexonimoes can mate to create a strong solid block.
F hexonimoes can also mate.
Occasionally, a t and an F hexonimo experiment together. Mating is impossible--they can't create a solid block together.
Can you find a pair of hexonimo species that are mirror images and heterosexual? That is, they mate with each other to create a strong square block.
If there's no such pair of hexonimo species, can it be done with octonimoes?