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"I think I understand what Trelise means by "70s vibes" - a time when it was cool to be culturally insensitive and racism was super awesome. Nice throw back to better times, babe, we native people celebrate with you," he wrote on a photo of a headdress wearing model posted to the Trelise Cooper Facebook page.
Melbourne-based lawyer and journalist Di White took to Twitter to express her thoughts.
"Hey @trelisecooper, Indian headdresses are not yours to wear. This is cultural appropriation & super offensive," she wrote.
The message was re-tweeted more than 50 times.
Also on Twitter, Kiwi comedian Jeremy Elwood - who hails from Canada - made his distaste about the items known.
Image 1 of 18: AUCKLAND, NEW ZEALAND - AUGUST 26: Models showcase designs by NOM*d at New Zealand Fashion Week 2014 on August 26, 2014 in Auckland, New Zealand. (Photo by Fiona Goodall/Getty Images)
"@trelisecooper Actually I think you'll find those are racist, plagiarized, white trash hipster vibes. You should be ashamed."
The items being worn as fashion statements have drawn criticism around the world in recent times, notably when US singer Pharrell Williams and reality television star Khloe Kardashian were pictured in the cultural symbols.