The outrageous outfits were regularly seen on the foursome in their heyday of dominating the pop charts during the 1970s. Apart from being eyecatching, they helped the Swedish supergroup exploit a Swedish law which meant clothes were tax deductible if their owners could prove they were not used for daily wear.
Band member Bjorn Ulvaeus recalls: "In my honest opinion, we looked like nuts in those years. Nobody can have been as badly dressed on stage as we were."
The cult pop group - which also included Anni-Frid Lyngstad, Agnetha Faltskog and Benny Andersson - have launched a new book which is being serialised by the magazine. This year marks the 40th anniversary of their breakthrough Eurovision Song Contest victory.
Bjorn added: "We figured with our clothes, people would remember us even if we finished ninth."
Among Abba's beaten rivals for the 1974 Eurovision title was Olivia Newton-John, who represented the United Kingdom.
Frida notes: "We chose clothes we felt comfortable in. My favourite was a body stocking with a little dress cut diagonally. I thought I was elegant and sexy in it."
Abba were together from 1972 to 1982.
There was no announcement of a reunion.