I came across 2 nuggets about the topic : math on internet.
You can search these links on my public listing page on  learning paths
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Start with 2x2, then goto 4x4 and then goto 8x8 left bottom, left top, right top and right bottom. Draw the curve from lower resolution, then switch the bottom left and bottom right so that connecting is easier.Start with 2x2, then goto 4x4 and then goto 8x8 left bottom, left top, right top and right bottom. Draw the curve from lower resolution, then switch the bottom left and bottom right so that connecting is easier. As the order of the pseudo hilbert curve increases the point moves lesser and lesser in HC. This is not true for any other curves.

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https://cs.uwaterloo.ca/~csk/hat/app.html

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