Thea de Guzman
Fractal Project
Koch Snowflake
Other Name: Koch Island
Short Description: It first started from the equilateral triangle then when the third side is
removed another equilateral triangle builds where the side was removed. This process is
repeated. This can also be instructed by using motif and a base curve. Also, in every
iteration, the shape is increased by one third from the last. It has infinite iteration so the
area is infinite and length.
Minkowski Sausage
Other Name: Also refers to Minkowski cover
Short Description: A base and motif form Minkowski Susage. First, the first line segment
is substituted with a motif and after every one of the eight line segment, it is substituted
with a motif again. This process is repeated.
Dragon Curve
Other Name: Jurassic Park Fractal
Short Description: It is a curve that does not intersect, and this can be formed by paper or
generator iteration. This is also equivalent to with a right angle. First, the right angle is
replaced with a smaller right angle. This process is also repeated.
H Fractal
Other Name: T-shaped
Short Description: First, it is built of horizontal segments. Then, vertical segments are
being attached perpendicular to the end point. After, horizontal segments are then
attached to the 4 end point from the previous step. This process is repeated. So in the
third step, there would be 8 vertical segments.
Hilbert Curve
Other Name: Hilbert space-filling curve
Short Description: it is described as space filling curve. The space-filling curve visits the
points in a square grid of any power of 2. This curve can be described as a cup and joins.
A cup has approximately 2 end points that can be either an entry or exit. A join has 4
different directions which are up, down, left or right.
Fractal Music
Other Name:
Short description: fractal music can be made in two ways, one is by the L-system and the
other is the fractal motion. The L-system is short string symbols that can be replaced.
These symbols can be chords, notes.. The fraction motion is when it starts with a straight
line and then repeated by alternating the portion of the line.