Disclosed are tents/tent frames with extended tops, and connectors facilitating construction of tents/tent frames with extended tops. A connector includes first and second side walls spaced apart in a first direction to form a groove along a second direction for receiving an upper pole. It also includes first upper and lower lugs spaced apart in a third direction to form a first slot for receiving a first side pole, and second upper and lower lugs spaced apart in the third direction to form a second slot for receiving a second side pole. The upper pole is rotatable in a plane limited by the first and second side walls. The first or second side pole is rotatable in a plane limited by the first or second upper and lower lugs.