Taxonomy of plane-filling curves

The Family Tree of Fractal Curves
(a taxonomy of plane-filling curves using complex integer lattices)





G(2,2) norm 8 family

This family corresponds to a Gaussian integer with norm 8. Since 8 is a power of 2 (2^3), this family allows generators with integers having norm 1 (2^0), norm 2 (2^1) and norm 4 (2^2).


name:
reference: The Family Tree of Fractal Curves
comment: self-avoiding curve
name: Brainfiller
reference: Brainfilling Curves
comment:



name: Brain Dragon
reference: Brainfilling Curves
comment:
name: Star-8
reference: Brainfilling Curves
comment: (same overall shape as the classic HH Dragon curve)



name: Broken Twins
reference: The Family Tree of Fractal Curves
comment: self-avoiding curve
name: Eve-8
reference: The Family Tree of Fractal Curves
comment: This is a self-avoiding curve



name: Carb-8
reference: Brainfilling Curves
comment: self-avoiding curve
name:
reference: Brainfilling Curves
comment:



name:
reference: Brainfilling Curves
comment:
name:
reference: Brainfilling Curves
comment:



























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