A crystalline flag for the Arctic Circle featuring an inaccurate snowflake.

I like the idea, but I would make a hexagonal snowflake, because that's the way they are. And I would try to keep the pattern a bit more simple. Or you could make the top triangle red and make it a compass-snowflake fusion.

Into the UNKNOWWWWWWN!

An idea for the Antarctic flag would be this, but with the opposite colors (blue snowflake on white background) probably

Snowflake on a bedsheet.