Can you explain the notation [0,1)^2 unit square, does the 2 represent the spatial dimensionality? So,[0,1)^3 is the unit cube? Why is 0 inclusive, but the 1 is exclusive?
"The first is that this mapping is area-preserving, not distance-preserving." Which area is being preserved?
Is there a volume preserving choice function?
What are points t0 and t3, are those the location of the singularity points? What is the definition of those "singularity points"? Is it that seeming void in the center of the fibonacci spiral? And that void doesn't exist within the unit square case?
"The first is that this mapping is area-preserving, not distance-preserving." Which area is being preserved?
Is there a volume preserving choice function?
What are points t0 and t3, are those the location of the singularity points? What is the definition of those "singularity points"? Is it that seeming void in the center of the fibonacci spiral? And that void doesn't exist within the unit square case?
I especially enjoyed footnote #1.