Abstract: Featured are systems, methods, and programs for the delivery and analysis of viewing experiencing for 360° video. The systems related to the invention described are intended for the optimization, transcoding, delivery, playback, and analysis of 360° video. Methods employed by such systems include mathematical analysis, geometry, networking, user interaction, graphical I/O, and various hardware devices. Software programs related to the invention include the playback and analysis of 360° video. Such analysis includes the recording of mathematical structures that exist in Euclidean space over time that is stored in a remote location and transferred over a public or private network.