Boris Lermontov:
My dear Livy, not even the best magician in the world can produce a rabbit out of a hat if there is not already a rabbit in the hat.
-- from The Red Shoes

This is a pattern for a slouchy beanie worked from the bottom up, in the round, and using the stranded colourwork technique.

There are 2 different rabbit motifs to choose from.

There are a few rounds with long floats and I have included an explanation of the Ladder-Back/Invisible Jacquard method. But you may tack your floats any way you like.

yarn:
Shetland 4ply by Gathered Sheep Yarns; Fingering; 100% Pure Shetland Wool; 233yds (213m) / 55g
approximate yarn amounts (for 1 hat with pom pom, optional):
1 skein each of MC (Green Lantern) & CC1 (Dove)
Use any remaining yarn to work a pom pom, if you like. (approximately 15g for the pom)
needles:
2.5mm (us no 1.5) circular 20in/50cm; DPNs 6in/15cm (crown)
3.0mm (us no 2.5) 20in/50cm; DPNs 6in/15cm (crown)
gauge:
28 sts x 28 rows = 4in/10cm measured over stranded stockinette on larger needles
Some knitters work stranded and single-coloured at different gauges. Change needles, as needed, to keep gauge the same throughout.
approximate finished size:
one size fits many; 21-25 in/53cm-63.5 cm head
additional tools:
needle to weave in ends, st marker, pom pom or pom pom maker (pom pom optional)

Matching Hollyhocks & Moon Rabbit cardi and Rabbity mittend/muffatees patterns.