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Minnesota is in the process of proposing a new state flag. Here are some proposals, circulating online. Many feature the North Star, a symbol of the state.
(files.catbox.moe)
The current flag looks like this, which obviously needs changing:
There is a commission tasked with proposing a new design. A news article about it is available here: https://www.cbsnews.com/minnesota/news/minnesota-house-bill-moves-forward-commission-to-redesign-state-flag-and-seal/
The top proposal, called "The North Star Flag", seems to be a popular favorite.
I gathered these proposals from these two sites: https://newmnflag.org/designs https://vexillology.fandom.com/wiki/Minnesota
Iceland has a red cross, not a green one, so it isn't Iceland-with-star.
I legitimately thought the cross above was red lol. Looking at it now it's clearly green; my guess is my phone's blue light filter last night and my colorblindness were factors.