Īhaka wrote a New Zealand version of the carol "Twelve Days of Christmas", which was published as a picture book in 1981 with illustrations by Dick Frizzell. Pukeko in a Ponga Tree became well-known and widely performed, and a fortieth anniversary edition was published by Penguin in 2021.[6][7] Also in 2021, the Auckland Harbour Bridge Christmas lights were based on the song.[8]
The song's verses describe the gifting of a pūkeko in a ponga tree, two kūmara, three flax kits, four huhu grubs, five big fat pigs, six poi a-twirling, seven eels a-swimming, eight plants of pūhā, nine sacks of pipi, ten juicy fish heads, eleven haka lessons, and twelve piupiu swinging.[9]