Most current solutions will fail if the four points fall on a circle but don't form a rectangle. Try adding X=[0 sqrt(2)/2 sqrt(2)/2 0]', Y=[1 sqrt(2)/2 -sqrt(2)/2 -1]'
Jon, I updated the test suite to include parallelograms that are not rectangles. While it does not include the specific example you gave, I think it takes care of the problem. Let me know if you think there is still an issue.
Matt, Jon's example can 'kill' some approaches, that check for trapezoids. X=[-1 -0.5 0.5 1]; Y=[0 sqrt(3)/2 sqrt(3)/2 0]; can eliminate those solutions which check only for 3 unique distances between points. It would be beneficial, to try some trapezoids, as well as kites or rhombi. Anyway, great problem!
Ah yes, I agree. Test suite updated again.
Time to work on plan B; pdist isn't valid in Cody. :-(
This one should not pass, it checks for parallelograms.
Thanks for bringing this to my attention Jan. Test suite has been updated.
Swap the first and last columns
Return unique values without sorting
Is the Point in a Circle?
Determine the number of odd integers in a vector
Repeat middle rows and columns of an array
Return elapsed time
Number of active Cody players by date
Cumulative minimum of an array
Determine which fields have been modified in a structure
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