This is a bit of an update on the theme of natural spaces. One f the questions pondered this week whether groups like the Rubik cube are natural. The drone pictures were taken the same day too. I flew to the river to peek at the Head of the Charles Regatta. A few seconds can be seen at the beginning and the end. I still want to understand better which groups are natural. meaning that they are defined entirely by a metric space. It appears that most groups are. I hope to wrap this project up soon and this video is a bit of a push. There is a working file available [PDF].
Bird view Harvard Yeard, Widner library, Smith center, Science center Bird view Harvard Yard, Memorial Church, Science Center. Bird view of the head of the charles regatta boats lining up before the head of the charles regatta 2021 Oliver in his office. Drone picture of boats lining up before the head of the Charles regatta 2021 Bird view of the Head of the Charles 2021 regatta Charles river with rowing boats from the head of the Charles Regatta 2021 Rowing boats lining up for the head of the Charles regatta 2021