Geometry... Stuff to do with points
Geometry Perhaps its due is overlooked.
A pictoral of some of the things you can do with a set of points with a basic license in ArcMap and PRO with a bit of python and a toolbox to house the scripts in.
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Begin with some points
Random they are, no order.
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Put order to the set
A radial sort was performed so that the mess was ordered by their angle relative to the x-axis.
Lines were drawn to the center of the cloud (just because)
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What do we have now
Since the points are ordered, connect the dots.
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Lets look at things conventionally
Everyone loves a convex hull. It encompasses the points as a group. There are other containers.
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But some of the points are far from the center
A quick little negative buffer to only keep the points within 90% of the average distance to the center.
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Convexity.... A different view on the data
Switching the selection in the above, then connecting the dots gives us a convex-ish hull..
Hmmm I wonder if you can change the rules to get a different view?
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Every cool map has texture
Fill in boundary, obliterate the dots and 'forest' fill. Just because we can 
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Connecting each point to its closest
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Connections to 3 closest
Starting to see groupings and spaces.
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Trees are useful (MST)
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Make patterns from a single point (Ulam spiral)
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Archimedes only needed a single point
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