Mash the ripest fig on a plate with the honey, using a fork; set aside.
Trim stems from remaining figs with a sharp knife, then cut a deep “X” in the top of each, making sure not to cut all the way through to the bottom. Gently spread each fig apart with your fingertips to make “petals.”
Combine ricotta cheese and almonds in a small bowl. Press mashed fig mixture through a sieve into a cup with the back of a spoon.
To serve, spoon ricotta mixture into figs. Arrange on a platter and drizzle with fig honey.