## Wednesday, January 23, 2013

### Fractal Spacetree - a mothership-like fractal tree (碎形太空樹 - 像太空母艦般的碎形樹)

( Mathematical software used: GeoGebra )

## Monday, January 21, 2013

### Fractal Hair (2) - Super Saiyan Style Hair (碎形頭髮 2 - 超級賽亞頭)

hair = a ternary fractal tree
face = an implicit curve [f(x,y)=0]

( Mathematical software used: GeoGebra )

## Saturday, January 19, 2013

### Tree Star - Star in a Quinary Fractal Tree (樹星 - 五元碎形樹裡的星星)

(GIF animation)

(GIF animation)

This looks like the Sierpinski pentagon without central pentagon.
(1322x1322 pixel²)

(GIF animation)

(826x826 pixel²)

(826x826 pixel²)

( Mathematical software used: GeoGebra )

## Friday, January 18, 2013

### Fractal Hair (1) - Fractal Wig (碎形頭髮 1 - 碎形假髮)

wig = a quaternary fractal tree
face = an implicit curve [f(x,y)=0]

Example Files:

( Mathematical software used: GeoGebra )

## Wednesday, January 16, 2013

### Binary Fractal Tree (二元碎形樹)

θ1=30°, θ2=35°, k1=0.65, k2=0.75

θ1=15°, θ2=45°, k1= k2=0.5√2

θ1=30°, θ2=60°, k1=0.65, k2=0.75

θ1=20°, θ2=80°, k1=k2=0.65

θ1=10°, θ2=90°, k1= k2=0.5√2

θ1=20°, θ2=90°, k1= k2=0.5√2

θ12=45°, k1= k2=0.5√2

θ1=45°, θ2=90°, k1=0.7, k2=0.65

θ1=45°, θ2=120°, k1=0.75, k2=0.6

θ1=90°, θ2=345°, k1= k2=0.5√2

θ12=90°, k1= k2=0.7

Example Files:

( Mathematical software used: GeoGebra )

## Friday, January 11, 2013

### Monsters Need Love Too (怪物也需要愛)

f1(x,y) > 0

fc(x,y) > 0,  c = 0.3 ~ 1

( Mathematical software used: UDAV )

### Pythagoras Trees (畢達哥拉斯樹)

Two Pythagorean Tree-Fighters (top view)

Four Pythagoras Trees

Pythagoras Shoes (green)

Pythagoras Shoes (golden)

( Mathematical software used: GeoGebra )

## Tuesday, January 8, 2013

### Monster with Bamboo Dragonfly (Bamboo-copter) (竹蜻蜓怪物)

(Inequality Graph)

(Equation Graph)

( Mathematical software used: gnuplot )

### Kung Fu Ghost (功夫鬼)

( Mathematical software used: gnuplot )

### Evil Military Counselor (邪惡軍師)

( Mathematical software used: gnuplot )