All Plane-filling Curves (using edge-replacement)
by Jeffrey Ventrella







This family corresponds to an Eisenstein integer with norm 3. Since it is a prime, all generator segments have a length of 1. There are two 'sub-families' - distinguished by the two kinds of generator shapes.
name: Ter-Dragon

Skin: 3E1 (Ter Dragon Skin)

attribution: Chandler and Knuth?

reference:
Larry Riddle

comment: Palindrome
name: Inverted Ter-Dragon

Skin: 3E2

attribution: Jeffrey Ventrella

reference:fractalcurves.com

comment:
name:

Skin: straight

attribution: Jeffrey Ventrella

reference:fractalcurves.com

comment: fractal dimension of boundary = 1. This is also a palindrome
name: Fractal Chair

Skin: 3E1 (Ter Dragon Skin)

attribution: Christoph Bandt

reference:

comment: uneven filling/texture
name: Half-Ter-Dragon

Skin: 3E1 (Ter Dragon Skin)

attribution: Tom Karzes

reference: Tom Karzes' fractal page

comment:
name:

Skin: straight

attribution: Jeffrey Ventrella

reference:fractalcurves.com

comment: fractal dimension of boundary = 1
name:

Skin: 3E2

attribution: Jeffrey Ventrella

reference:fractalcurves.com

comment:
name:

Skin: 3E2

attribution: Jeffrey Ventrella

reference:fractalcurves.com

comment: This is a self-avoiding curve
name:

Skin: 3E2

attribution: Jeffrey Ventrella

reference:fractalcurves.com

comment: uneven filling/texture
name:

Skin: 3E1 (Ter Dragon Skin)

attribution: Jeffrey Ventrella

reference:fractalcurves.com

comment: This is a self-avoiding curve

The First Nine Families



















fractalcurves.com