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I am out of state in Raleigh, North Carolina right now. I decided to do some research to see what the city has to offer. There is a nice Memorial Garden dedicated to Martin Luther King Jr. here. The admission to this garden is free and based on reviews, the garden is just a peaceful place. It is not meant to spend an entire day at because it is very small. The significance of this garden is that there is a statute of Martin Luther King Jr (and it is said to be the only actually) and you can touch it and take photographs too but I FORGOT MY CAMERA ..
Image from source link. More information about this garden: http://www.king-raleigh.org/pgms/gardens.htm