When I was in Hawaii, I was in a cycle of eating Hamburgers one day, tacos the next day, and pancakes the day after that.
この場合、次のような言い方ができますよ。
ーWhen I was in Hawaii, I was in a cycle of eating Hamburgers one day, tacos the next day, and pancakes the day after that.
「ハワイに行った時、ある日はハンバーガー、翌日はタコス、その次の日はパンケーキを食べるというサイクルだった」
ご参考まで!