These particular space-time lines are designed to show, not the movement of things in time, but to show events over time associated with specific places (lots).
A more sophisticated version of this idea would have four dimensions (and would facilitate visualizing the movement of things and persons in space).
But some or many events associated with specific places happen in other places. Tricky complications.
The dynamic evidence page
Evidence marshaling software MarshalPlan
It's here: the law of evidence on Spindle Law. See also this post and this post.
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Other people have studied "multidimensional timelines" in some depth. See Austen Rainer, Representing the behaviour of software projects using multi-dimensional timelines, Information and Software Technology, Volume 52, Issue 11, November 2010, Pages 1217-1228, ISSN 0950-5849, 10.1016/j.infsof.2010.06.004. (http://www.sciencedirect.com/science/article/pii/S095058491000114X) The paper is also available as a downloadable pdf document: https://uhra.herts.ac.uk/dspace/bitstream/2299/4814/1/904112.pdf
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