Spirograph_Form ( Processing )

SPIROGRAPH

是一種利用

畫圓形的玩具尺

透過兩個相切的圓

畫出複雜的圖形

下圖是簡易的玩具尺

 

SPIROGRAPH

is a toy ruler which draw

dramatic and complex graphic

through two circle which is tangent

to each other

the picture below is the simple kind

of this ruler

這是用SPIROGRAPH尺所畫出來的複雜圖形

我利用Processing做2D平面的模擬

透過改變兩個相切圓的半徑

及繪製點位置的不同

而形成多樣的圖形

This is the graphic I populated

by programming in Processing.

By changing the radius of two tangent circles,

and the location of the starting point, 

we could draw variable complex graphic. 

通常Spirograph都是2D圖像為多

試著想畫出3D的Spirograph

People usaully draw 2D Spirograph

so this time we try to draw 3D Spirograph 

 

一開始的想法即是在2D繪製的同時

轉動Ｘ軸

使得圖形能夠3D畫

後來發現

轉動X軸,Ｙ軸,Ｚ軸

都可控制其變化

轉動的角度成為

你選擇如何畫出圖形的軌跡

 

The first thought is rotating

the X-Axis when drawing the Spirograph

to make it 3D.

After that, we thought it might 

changing the  Y and Z axis as well.

The rotation of the Axis is showing

how you trace the graphic in 3D space.

 

所以首先轉動X軸

觀察其變化

Rotating the X-Axis to see what happend.

 

改變相切圓半徑大小及繪圖點位置

Changing the radius of the two tagent circles

and the starting point's location.

 

有不規則光殘影的感覺

 

加入旋轉Y軸

rotate X and Y-Axis

 

 

加入旋轉Z軸

rotate X,Y and Z-Axis