Heat the oven to 400 °F (200 °C). Use parchment baking paper to line a baking pan.
Wash figs, remove stems, and cut each fig into six pieces lengthwise.Puff pastry should be cut into 5 in./13 cm rounds. Within each, trace (but do not completely cut through) a 4 in./10 cm circle. (Cut pastry circles using a tiny saucer or mini pie pan as a reference; measurements need not be perfect; only what will fit on the puff pastry sheet.)
Each pastry round should be coated with melted butter.Sprinkle and distribute 12 teaspoon sugar and 1 teaspoon crushed almonds onto each pastry round inside the inner circle. Next, layer overlapping fig slices on the dough while maintaining the inner circle.Slices of fig are brushed with any residual butter, dusted with cinnamon, and have half of the honey drizzled over them.
When the crust is puffed and golden and the figs are tender, bake for 15 to 18 minutes.Add the remaining honey and drizzle. Serve warm with cream or vanilla ice cream.