G(1,1) norm 2 family 
There are only two planefilling curves in this family. They are both based on a common generator shape (two unit segments joined at a right angle), but the segments have different transforms. This family corresponds to a Gaussian integer with norm 2. Since it is a prime, all segments have length 1. The resulting contrast in phenotypes (a complex dragon vs. a right triangle) is a common occurance in several families.

name:
Dragon Curve
reference: Wikipedia comment: Also called 'Jurassic Park Dragon' 
name:
Polya Sweep
reference: The Fractal Geometry of Nature comment: George Polya 



fractalcurves.com 